This handy **Spectrum Math Grade 4 Answer Key Chapter 5 Lesson 5.8 Dividing 3 Digits** provides detailed answers for the workbook questions.

## Spectrum Math Grade 4 Chapter 5 Lesson 5.8 Dividing 3 Digits Answers Key

Since 100 × 8 = 800 and 800 is greater than 453, there is no hundreds digit.

53 is between 400 and 480. 453 ÷ 8 is between 50 and 60. The tens digit is 5.

53 is between 8 and 56. 53 ÷ 8 is between 6 and 7. The ones digit s 6.

**Divide.**

Question 1.

a.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: Now, the dividend will be 72, it is divisible by 8, as we know that 8 × 9 = 72 so, we go for it.

Step 3: Write 9 in the quotient. Next dividend will be 0, we know that 8 × 0 = 0 so, we go for it.

Step 4: Thus, 0 is the remainder and 90 is the quotient.

b.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: Now, the dividend will be 32, it is divisible by 4, as we know that 4 × 8 = 32 so, we go for it.

Step 3: Write 8 in the quotient. So, we have 7 as the new dividend. 7 > 4. We know that 4 × 1 = 4. so, we go for it.

Step 4: Write 1 in the quotient. Now the quotient will be 81. Subtract 7-4=3. Thus, 3 will be the remainder.

c.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: Now, the dividend will be 37, as we know that 9 × 4 = 36 so, we go for it.

Step 3: Write 4 in the quotient. Subtract 37-36=1. Bring down the next digit. So, we have 12 as the new dividend. We know that 9 × 1 = 9. so, we go for it.

Step 4: Write 1 in the quotient. Now the quotient will be 41. Subtract 12-9=3. Thus, 3 will be the remainder.

d.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: Now, the dividend will be 17, as we know that 4 × 4 = 16 so, we go for it.

Step 3: Write 4 in the quotient. Subtract 17-16=1. Bring down the next digit. So, we have 13 as the new dividend. We know that 4 × 3 = 12. so, we go for it.

Step 4: Write 3 in the quotient. Now the quotient will be 43. Subtract 13-12=1. Thus, 1 will be the remainder.

e.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: Now, the dividend will be 15, as we know that 2 × 7 = 14 so, we go for it.

Step 3: Write 7 in the quotient. Subtract 15-14=1. Bring down the next digit. So, we have 10 as the new dividend. 10 is divisible by 2. We know that 2 × 5 = 10. so, we go for it.

Step 4: Write 5 in the quotient. Now the quotient will be 75. Subtract 10-10=0. Thus, 0 will be the remainder.

Question 2.

a.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: Now, the dividend will be 55, as we know that 6 × 9 = 54 so, we go for it.

Step 3: Write 9 in the quotient. Subtract 55-54=1. Bring down the next digit. So, we have 12 as the new dividend. 12 is divisible by 6. We know that 6 × 2 = 12. so, we go for it.

Step 4: Write 5 in the quotient. Now the quotient will be 92. Subtract 12-12=0. Thus, 0 will be the remainder.

b.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: Now, the dividend will be 13, as we know that 3 × 4 = 12 so, we go for it.

Step 3: Write 4 in the quotient. Subtract 13-12=1. Bring down the next digit. So, we have 19 as the new dividend. We know that 3 × 6 = 18. Subtract 19-18=1. So, we go for it.

Step 4: Write 6 in the quotient. Now the quotient will be 46. Thus, 1 will be the remainder.

c.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: Now, the dividend will be 24, as we know that 4 × 6 = 24 so, we go for it.

Step 3: Write 4 in the quotient. Subtract 24-24=0. Bring down the next digit. So, we have 8 as the new dividend. We know that 4 × 2 = 8. Subtract 8-8=0. So, we go for it.

Step 4: Write 2 in the quotient. Now the quotient will be 62. Thus, 0 will be the remainder.

d.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: Now, the dividend will be 89, as we know that 9 × 9 = 81 so, we go for it.

Step 3: Write 9 in the quotient. Subtract 89-81=8. Bring down the next digit. So, we have 80 as the new dividend. We know that 9 × 8 = 72. Subtract 80-72=8. So, we go for it.

Step 4: Write 8 in the quotient. Now the quotient will be 98. Thus, 8 will be the remainder.

e.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: Now, the dividend will be 10, as we know that 5 × 2 = 10 so, we go for it.

Step 3: Write 2 in the quotient. Subtract 10-10=0. Bring down the next digit. So, we have 5 as the new dividend. We know that 5 × 1 = 5. Subtract 5-5=0. So, we go for it.

Step 4: Write 1 in the quotient. Now the quotient will be 21. Thus, 0 will be the remainder.

Question 3.

a.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: Now, the dividend will be 78, as we know that 9 × 8 = 72 so, we go for it.

Step 3: Write 8 in the quotient. Subtract 78 – 72 = 6. Bring down the next digit. So, we have 60 as the new dividend. We know that 9 × 6 = 54. Subtract 60 – 54 = 6. So, we go for it.

Step 4: Write 86 in the quotient. Now the quotient will be 86. Thus, 6 will be the remainder.

b.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: Now, the dividend will be 22, as we know that 5 × 4 = 20 so, we go for it.

Step 3: Write 4 in the quotient. Subtract 22 – 20 = 2. Bring down the next digit. So, we have 25 as the new dividend. We know that 5 × 5 = 25. Subtract 25 – 25 = 0. So, we go for it.

Step 4: Write 45 in the quotient. Now the quotient will be 45. Thus, 0 will be the remainder.

c.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: Now, the dividend will be 81, as we know that 9 × 9 = 81 so, we go for it.

Step 3: Write 9 in the quotient. Subtract 81 – 81 = 0. Bring down the next digit. So, we have 03 as the new dividend. The dividend is less than the divisor.

Step 4: Write 9 in the quotient. Now the quotient will be 90. Thus, 3 will be the remainder.

d.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: Now, the dividend will be 51, as we know that 7 × 7 = 49 so, we go for it.

Step 3: Write 7 in the quotient. Subtract 51 – 49 = 2. Bring down the next digit. So, we have 21 as the new dividend. We know that 7 × 3 = 21. Subtract 21 – 21 = 0. So, we go for it.

Step 4: Write 3 in the quotient. Now the quotient will be 73. Thus, 0 will be the remainder.

e.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: Now, the dividend will be 11, as we know that 3 × 3 = 9 so, we go for it.

Step 3: Write 3 in the quotient. Subtract 11 – 9 = 2. Bring down the next digit. So, we have 20 as the new dividend. We know that 3 × 6 = 18. Subtract 20 – 18 = 2. So, we go for it.

Step 4: Write 6 in the quotient. Now the quotient will be 36. Thus, 2 will be the remainder.

**Divide.**

Question 1.

a.

Answer:

Step 1: The first digit of the dividend is more than the divisor. We know that 6 × 1 = 6. Subtract 7 – 6 = 1.

Step 2: Write 1 in the quotient. Bring down the next digit of the dividend. Now, the dividend will be 17, as we know that 6 × 2 = 12 so, we go for it. Subtract 17 – 12 = 5.

Step 3: Write 2 in the quotient. Bring down the next digit of the dividend. So, we have 53 as the new dividend. We know 6 × 8 = 48.

Step 4: Write 128 in the quotient. Subtract 53 – 48 = 5.Now the quotient will be 128 and 5 will be the remainder.

b.

Answer:

Step 1: The first digit of the dividend is more than the divisor. 8 is divisble by 2. We know that 2 × 4 = 8. Subtract 8 – 8 = 0.

Step 2: Write 4 in the quotient. Bring down the next digit of the dividend. Now, the dividend will be 09, as we know that 2 × 4 = 8 so, we go for it. Subtract 9 – 8 = 1.

Step 3: Write 4 in the quotient. Bring down the next digit of the dividend. So, we have 18 as the new dividend. We know 2 × 9 = 18.

Step 4: Write 9 in the quotient. Subtract 18 – 18 = 0. Now the quotient will be 229 and 0 will be the remainder.

c.

Answer:

Step 1: The first digit of the dividend is more than the divisor. We know that 4 × 1 = 4. Subtract 5 – 4 = 1.

Step 2: Write 1 in the quotient. Bring down the next digit of the dividend. Now, the dividend will be 16, as we know that 4 × 4 = 16 so, we go for it. Subtract 16 – 16 = 0.

Step 3: Write 4 in the quotient. Bring down the next digit of the dividend. So, we have 06 as the new dividend. We know 4 × 1 = 4.

Step 4: Write 1 in the quotient. Subtract 6 – 4 = 2. Now the quotient will be 141 and 2 will be the remainder.

d.

Answer:

Step 1: The first digit of the dividend is more than the divisor. We know that 6 × 1 = 6. Subtract 7 – 6 = 1.

Step 2: Write 1 in the quotient. Bring down the next digit of the dividend. Now, the dividend will be 18, as we know that 6 × 3 = 18 so, we go for it. Subtract 18 – 18 = 0.

Step 3: Write 3 in the quotient. Bring down the next digit of the dividend. So, we have 1 as the new dividend which is less than the divisor.

Step 4: Write 0 in the quotient. Now the quotient will be 130 and 1 will be the remainder.

e.

Answer:

Step 1: The first digit of the dividend is more than the divisor. We know that 3 × 3 = 9. Subtract 9 – 9 = 0.

Step 2: Write 3 in the quotient. Bring down the next digit of the dividend. Now, the dividend will be 07, as we know that 3 × 2 = 6 so, we go for it. Subtract 7 – 6 = 1.

Step 3: Write 2 in the quotient. Bring down the next digit of the dividend. So, we have 12 as the new dividend. We know 3 × 4 = 12.

Step 4: Write 4 in the quotient. Subtract 12 – 12 = 0. Now the quotient will be 324 and 0 will be the remainder.

Question 2.

a.

Answer:

Step 1: The first digit of the dividend is more than the divisor. We know that 2 × 1 = 2. Subtract 3 – 2 = 1.

Step 2: Write 1 in the quotient. Bring down the next digit of the dividend. Now, the dividend will be 11, as we know that 2 × 5 = 10 so, we go for it. Subtract 11 – 10 = 1.

Step 3: Write 5 in the quotient. Bring down the next digit of the dividend. So, we have 17 as the new dividend. We know 2 × 8 = 16.

Step 4: Write 8 in the quotient. Subtract 17 – 16 = 1. Now the quotient will be 158 and 1 will be the remainder.

b.

Answer:

Step 1: The first digit of the dividend is more than the divisor. We know that 4 × 1 = 4. Subtract 7 – 4 = 3.

Step 2: Write 1 in the quotient. Bring down the next digit of the dividend. Now, the dividend will be 33, as we know that 4 × 8 = 32 so, we go for it. Subtract 33 – 32 = 1.

Step 3: Write 3 in the quotient. Bring down the next digit of the dividend. So, we have 12 as the new dividend. We know 4 × 3 = 12.

Step 4: Write 3 in the quotient. Subtract 12 – 12 = 0. Now the quotient will be 183 and 1 will be the remainder.

c.

Answer:

Step 1: The first digit of the dividend is more than the divisor. We know that 9 × 1 = 9. Subtract 9 – 9 = 0.

Step 2: Write 1 in the quotient. Bring down the next digit of the dividend. Now, the dividend will be 08 which is less than the divisor. So bring down the next digit of the dividend.

Step 3: Write 0 in the quotient. So, we have 89 as the new dividend. We know 9 × 9 = 81.

Step 4: Write 9 in the quotient. Subtract 89 – 81 = 8. Now the quotient will be 109 and 8 will be the remainder.

d.

Answer:

Step 1: The first digit of the dividend is more than the divisor. We know that 7 × 1 = 7. Subtract 8 – 7 = 1.

Step 2: Write 1 in the quotient. Bring down the next digit of the dividend. Now, the dividend will be 19, as we know that 7 × 2 = 14 so, we go for it. Subtract 19 – 14 = 5.

Step 3: Write 2 in the quotient. Bring down the next digit of the dividend. So, we have 57 as the new dividend. We know 7 × 8 = 56.

Step 4: Write 8 in the quotient. Subtract 57 – 56 = 1. Now the quotient will be 128 and 1 will be the remainder.

e.

Answer:

Step 1: The first digit of the dividend is more than the divisor. We know that 2 × 1 = 2. Subtract 3 – 2 = 1.

Step 2: Write 1 in the quotient. Bring down the next digit of the dividend. Now, the dividend will be 19, as we know that 2 × 9 = 18 so, we go for it. Subtract 19 – 18 = 1.

Step 3: Write 9 in the quotient. Bring down the next digit of the dividend. So, we have 14 as the new dividend. We know 2 × 7 = 14.

Step 4: Write 7 in the quotient. Subtract 14 – 14 = 0. Now the quotient will be 197 and 0 will be the remainder.

Question 3.

a.

Answer:

Step 1: The first digit of the dividend is more than the divisor. We know that 5 × 1 = 5. Subtract 5 – 5 = 0.

Step 2: Write 1 in the quotient. Bring down the next digit of the dividend. 2 is less than the divisor, 5. So bring down the next digit of the dividend.

Step 3: Write 0 in the quotient. So, we have 29 as the new dividend. We know 5 × 5 = 25.

Step 4: Write 5 in the quotient. Subtract 29 – 25 = 4. Now the quotient will be 105 and 4 will be the remainder.

b.

Answer:

Step 1: The first digit of the dividend is more than the divisor. We know that 8 × 1 = 8. Subtract 8 – 8 = 0.

Step 2: Write 1 in the quotient. Bring down the next digit of the dividend. Now, the dividend will be 9, as we know that 8 × 1 = 8 so, we go for it. Subtract 9 – 8 = 1.

Step 3: Write 1 in the quotient. Bring down the next digit of the dividend. So, we have 17 as the new dividend. We know 2 × 8 = 16.

Step 4: Write 2 in the quotient. Subtract 17 – 16 = 1. Now the quotient will be 112 and 1 will be the remainder.

c.

Answer:

Step 1: The first digit of the dividend is more than the divisor. 6 is divisible by 3. We know that 3 × 2 = 6. Subtract 6 – 6 = 0.

Step 2: Write 2 in the quotient. Bring down the next digit of the dividend. Now, the dividend will be 7, as we know that 3 × 2 = 6 so, we go for it. Subtract 7 – 6 = 1

Step 3: Write 2 in the quotient. Bring down the next digit of the dividend. So, we have 16 as the new dividend. We know 3 × 5 = 15.

Step 4: Write 5 in the quotient. Subtract 16 – 15 = 1. Now the quotient will be 225 and 1 will be the remainder.

d.

Answer:

Step 1: The first digit of the dividend is more than the divisor. We know that 2 × 1 = 2. Subtract 3 – 2 = 1.

Step 2: Write 1 in the quotient. Bring down the next digit of the dividend. Now, the dividend will be 14, as we know that 2 × 7 = 14 so, we go for it. Subtract 14 – 14 = 0.

Step 3: Write 7 in the quotient. Bring down the next digit of the dividend. So, we have 08 as the new dividend. We know 2 × 4 = 8.

Step 4: Write 9 in the quotient. Subtract 8 – 8 = 0. Now the quotient will be 174 and 0 will be the remainder.

e.

Answer:

Step 1: The first digit of the dividend is more than the divisor. We know that 6 × 1 = 6. Subtract 9 – 6 = 3.

Step 2: Write 1 in the quotient. Bring down the next digit of the dividend. Now, the dividend will be 33, as we know that 6 × 5 = 30 so, we go for it. Subtract 33 – 30 = 3.

Step 3: Write 5 in the quotient. Bring down the next digit of the dividend. So, we have 30 as the new dividend. We know 6 × 5 = 30.

Step 4: Write 5 in the quotient. Subtract 30 – 30 = 0. Now the quotient will be 155 and 0 will be the remainder.

Question 4.

a.

Answer:

Step 1: The first digit of the dividend is more than the divisor. We know that 3 × 2 = 6. Subtract 7 – 6 = 1.

Step 2: Write 2 in the quotient. Bring down the next digit of the dividend. Now, the dividend will be 18, as we know that 3 × 6 = 18 so, we go for it. Subtract 18 – 18 = 0.

Step 3: Write 6 in the quotient. Bring down the next digit of the dividend. So, we have 04 as the new dividend. We know 3 × 1 = 3.

Step 4: Write 1 in the quotient. Subtract 4 – 3 = 1. Now the quotient will be 261 and 1 will be the remainder.

b.

Answer:

Step 1: The first digit of the dividend is more than the divisor. We know that 5 × 1 = 5. Subtract 7 – 5 = 2.

Step 2: Write 1 in the quotient. Bring down the next digit of the dividend. Now, the dividend will be 28, as we know that 5 × 5 = 25 so, we go for it. Subtract 28 – 25 = 3.

Step 3: Write 5 in the quotient. Bring down the next digit of the dividend. So, we have 38 as the new dividend. We know 5 × 7 = 35.

Step 4: Write 7 in the quotient. Subtract 38 – 35 = 3. Now the quotient will be 157 and 3 will be the remainder.

c.

Answer:

Step 1: The first digit of the dividend is more than the divisor. We know that 3 × 1 = 3. Subtract 4 – 3 = 1.

Step 2: Write 1 in the quotient. Bring down the next digit of the dividend. Now, the dividend will be 18, as we know that 3 × 6 = 18 so, we go for it. Subtract 18 – 18 = 0.

Step 3: Write 6 in the quotient. Bring down the next digit of the dividend. 1 is less than 3.

Step 4: So write 0 in the quotient. Now the quotient will be 160 and 1 will be the remainder.

d.

Answer:

Step 1: The first digit of the dividend is more than the divisor. We know that 5 × 1 = 5. Subtract 5 – 5 = 0.

Step 2: Write 1 in the quotient. Bring down the next digit of the dividend. Now, the dividend will be 05, as we know that 5 × 1 = 5 so, we go for it. Subtract 5 – 5 = 0.

Step 3: Write 1 in the quotient. Bring down the next digit of the dividend. So, we have 08 as the new dividend. We know 5 × 1 = 5.

Step 4: Write 1 in the quotient. Subtract 8 – 5 = 3. Now the quotient will be 111 and 3 will be the remainder.

e.

Answer:

Step 1: The first digit of the dividend is more than the divisor. We know that 2 × 3 = 6. Subtract 6 – 6 = 0.

Step 2: Write 3 in the quotient. Bring down the next digit of the dividend. Now, the dividend will be 01, which is less than the divisor. Write 0 in the quotient and bring down the next digit of the dividend.

Step 3: So, we have 10 as the new dividend. We know 2 × 5 = 10.

Step 4: Write 5 in the quotient. Subtract 10 – 10 = 0. Now the quotient will be 305 and 0 will be the remainder.

Question 5.

a.

Answer:

Step 1: The first digit of the dividend is more than the divisor. We know that 3 × 1 = 3. Subtract 3 – 3 = 0.

Step 2: Write 1 in the quotient. Bring down the next digit of the dividend. Now, the dividend will be 02, which is less than the divisor. Write 0 in the quotient and bring down the next digit of the dividend.

Step 3: So, we have 24 as the new dividend. 24 is divisble by 3. We know 3 × 8 = 24.

Step 4: Write 8 in the quotient. Subtract 24 – 24 = 0. Now the quotient will be 108 and 0 will be the remainder.

b.

Answer:

Step 1: The first digit of the dividend is more than the divisor. We know that 5 × 1 = 5. Subtract 9 – 5 = 4.

Step 2: Write 1 in the quotient. Bring down the next digit of the dividend. Now, the dividend will be 45, it is divisble by 5. As we know that 5 × 9 = 45 so, we go for it. Subtract 45 – 45 = 0. Write 9 in the quotient.

Step 3: So, we have 03 as the new dividend. which is less than the divisor. Write 0 in the quotient.

Step 4: Now the quotient will be 190 and 3 will be the remainder.

c.

Answer:

Step 1: The first digit of the dividend is more than the divisor. We know that 4 × 2 = 8. Subtract 8 – 8 = 0.

Step 2: Write 2 in the quotient. Bring down the next digit of the dividend. Now, the dividend will be 06, as we know that 4 × 1 = 4 so, we go for it. Subtract 6 – 4 = 2.

Step 3: Write 1 in the quotient. Bring down the next digit of the dividend. So, we have 28 as the new dividend. 28 is divisible by 4. We know 4 × 7 = 28.

Step 4: Write 7 in the quotient. Subtract 28 – 28 = 0. Now the quotient will be 217 and 0 will be the remainder.

d.

Answer:

Step 1: The first digit of the dividend is more than the divisor. We know that 3 × 3 = 9. Subtract 9 – 9 = 0.

Step 2: Write 3 in the quotient. Bring down the next digit of the dividend. Now, the dividend will be 07, as we know that 3 × 2 = 6 so, we go for it. Subtract 7 – 6 = 1.

Step 3: Write 2 in the quotient. Bring down the next digit of the dividend. So, we have 15 as the new dividend. We know 3 × 5 = 15.

Step 4: Write 5 in the quotient. Subtract 15 – 15 = 0. Now the quotient will be 325 and 0 will be the remainder.

e.

Answer:

Step 1: The first digit of the dividend is more than the divisor. We know that 6 × 1 = 6. Subtract 7 – 6 = 1.

Step 2: Write 1 in the quotient. Bring down the next digit of the dividend. Now, the dividend will be 12, as we know that 6 × 2 = 12 so, we go for it. Subtract 12 – 12 = 0.

Step 3: Write 2 in the quotient. Bring down the next digit of the dividend. As 0 is less than 6, add the number in quotient.

Step 4: Write 0 in the quotient. Now the quotient will be 120 and 0 will be the remainder.