This handy Spectrum Math Grade 4 Answer Key Chapter 5 Lesson 5.7 Dividing 2 Digits provides detailed answers for the workbook questions.
Spectrum Math Grade 4 Chapter 5 Lesson 5.7 Dividing 2 Digits Answers Key
33 is between 32 and 40, so 33 ÷ 8 is between 4 and 5. The ones digit is 4.
Since 33 – 32 = 1 and 1 is less than 8, the remainder 1 is recorded like this:
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: 26 is between 25 and 30, so 26 ÷ 5 is between 5 and 6. The ones digit is 5.
Since 26 – 25 = 1 and 1 is less than 5, the remainder will be 1.
Step 3: Here 5 will be the quotient and 1 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: 58 is between 56 and 63, so 58 ÷ 7 is between 8 and 9. The ones digit is 8.
Since 58 – 56 = 2 and 2 is less than 7, the remainder will be 2.
Step 3: Here 8 will be the quotient and 2 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: 31 is between 28 and 32, so 31 ÷ 4 is between 7 and 8. The ones digit is 7.
Since 31 – 28 = 3 and 3 is less than 4, the remainder will be 3.
Step 3: Here 7 will be the quotient and 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: 82 is between 81 and 90, so 82 ÷ 9 is between 9 and 10. The ones digit is 9.
Since 82 – 81 = 1 and 1 is less than 9, the remainder will be 1.
Step 3: Here 9 will be the quotient and 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: 35 is between 30 and 36, so 35 ÷ 6 is between 5 and 6. The ones digit is 5.
Since 35 – 30 = 5 and 5 is less than 6, the remainder will be 5.
Step 3: Here 5 will be the quotient and 5 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: 66 is between 64 and 72, so 66 ÷ 8 is between 8 and 9. The ones digit is 8.
Since 66 – 64 = 2 and 2 is less than 8, the remainder will be 2.
Step 3: Here 8 will be the quotient and 2 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: 17 is between 15 and 18, so 17 ÷ 3 is between 5 and 6. The ones digit is 5.
Since 17 – 15 = 2 and 2 is less than 3, the remainder will be 2.
Step 3: Here 5 will be the quotient and 2 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: 13 is between 12 and 14, so 13 ÷ 2 is between 6 and 7. The ones digit is 6.
Since 13 – 12 = 1 and 1 is less than 2, the remainder will be 1.
Step 3: Here 6 will be the quotient and 1 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: 50 is between 49 and 56, so 50 ÷ 7 is between 7 and 8. The ones digit is 7.
Since 50 – 49 = 1 and 1 is less than 7, the remainder will be 1.
Step 3: Here 7 will be the quotient and 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: 40 is between 36 and 42, so 40 ÷ 6 is between 6 and 7. The ones digit is 6.
Since 40 – 36 = 4 and 4 is less than 6, the remainder will be 4.
Step 3: Here 6 will be the quotient and 4 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: 30 is between 27 and 36, so 30 ÷ 9 is between 3 and 4. The ones digit is 3.
Since 30 – 27 = 3 and 3 is less than 9, the remainder will be 3.
Step 3: Here 3 will be the quotient and 3 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: 41 is between 40 and 45, so 41 ÷ 5 is between 8 and 9. The ones digit is 8.
Since 41 – 40 = 1 and 1 is less than 5, the remainder will be 1.
Step 3: Here 8 will be the quotient and 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: 10 is between 9 and 12, so 10 ÷ 3 is between 3 and 4. The ones digit is 3.
Since 10 – 9 = 1 and 1 is less than 3, the remainder will be 1.
Step 3: Here 3 will be the quotient and 1 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: 73 is between 72 and 80, so 73 ÷ 8 is between 9 and 10. The ones digit is 9.
Since 73 – 72 = 1 and 1 is less than 8, the remainder will be 1.
Step 3: Here 9 will be the quotient and 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: 57 is between 56 and 63, so 57 ÷ 7 is between 8 and 9. The ones digit is 8.
Since 57 – 56 = 1 and 1 is less than 7, the remainder will be 1.
Step 3: Here 8 will be the quotient and 1 will be the remainder.
Question 4.
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: 20 is between 16 and 24, so 20 ÷ 8 is between 2 and 3. The ones digit is 2.
Since 20 – 16 = 4 and 4 is less than 8, the remainder will be 4.
Step 3: Here 2 will be the quotient and 4 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: 37 is between 36 and 42, so 37 ÷ 6 is between 6 and 7. The ones digit is 6.
Since 37 – 36 = 1 and 1 is less than 6, the remainder will be 1.
Step 3: Here 6 will be the quotient and 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: 55 is between 54 and 63, so 55 ÷ 9 is between 6 and 7. The ones digit is 6.
Since 55 – 54 = 1 and 1 is less than 9, the remainder will be 1.
Step 3: Here 6 will be the quotient and 1 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: 29 is between 28 and 35, so 29 ÷ 7 is between 4 and 5. The ones digit is 4.
Since 29 – 28 = 1 and 1 is less than 7, the remainder will be 1.
Step 3: Here 4 will be the quotient and 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: 47 is between 45 and 50, so 47 ÷ 5 is between 9 and 10. The ones digit is 9.
Since 47 – 45 = 2 and 2 is less than 5, the remainder will be 2.
Step 3: Here 9 will be the quotient and 2 will be the remainder.
67 is between 60 and 90, so 67 ÷ 3 is between 20 and 30. The tens digit is 2.
Divide.
Question 1.
a.
Answer:
Step 1: Here, the first digit of the dividend is 3 and it is greater to the divisor. So, for 3 ÷ 2, 1 will be quotient and subtract 3 – 2 = 1.So, 1 is written on top as the first digit of the quotient.
Step 2: Bring the second digit of the dividend down and place it beside 1.
Step 3: So, we have 16 as the new dividend. 16 is divisible by 2. We know that 2 × 8 = 16. so, we go for it.
Step 4: Write 8 in the quotient.
Step 5: Thus, 0 is the remainder and 16 is the quotient.
b.
Answer:
Step 1: Here, the first digit of the dividend is 7 and it is greater to the divisor. So, 7 ÷ 5, 1 will be quotient and subtract 7 – 5 = 2. So, 1 is written on top as the first digit of the quotient.
Step 2: Bring the second digit of the dividend down and place it beside 2.
Step 3: So, we have 26 as the new dividend. 26 > 5. We know that 5 × 5 = 25. so, we go for it.
Step 4: Subtract 26 – 25 = 1.Write 5 in the quotient.
Step 5: Thus, 1 is the remainder and 15 is the quotient.
c.
Answer:
Step 1: Here, the first digit of the dividend is 7 and it is greater to the divisor. So, 7 ÷ 7, 1 will be quotient and subtract 7 – 7 = 0. So, 1 is written on top as the first digit of the quotient.
Step 2: Bring the second digit of the dividend down and place it beside 0.
Step 3: So, we have 09 as the new dividend. We know that 7 × 1 = 7. so, we go for it.
Step 4: Subtract 9 – 7 = 2. Write 1 in the quotient.
Step 5: Thus, 2 is the remainder and 11 is the quotient.
d.
Answer:
Step 1: Here, the first digit of the dividend is 9 and it is greater to the divisor. So, 9 ÷ 4, 2 will be quotient. Subtract 9 – 8 = 1, 1 will be the remainder. So, 2 is written on top as the first digit of the quotient.
Step 2: Bring the second digit of the dividend down and place it beside 1.
Step 3: So, we have 16 as the new dividend. 16 is divisible by 4. We know that 4 × 4 = 16. so, we go for it.
Step 4: Subtract 16 – 16 = 0. Write 4 in the quotient.
Step 5: Thus, 0 is the remainder and 24 is the quotient.
e.
Answer:
Step 1: Here, the first digit of the dividend is 9 and it is greater to the divisor. So, 9 ÷ 7, 1 will be quotient and 2 will be the remainder. So, 1 is written on top as the first digit of the quotient.
Step 2: Subtract 9 – 7 = 2. Bring the second digit of the dividend down and place it beside 2.
Step 3: So, we have 23 as the new dividend. We know that 7 × 3 = 21. so, we go for it.
Step 4: Subtract 23 – 21 = 2. Write 3 in the quotient.
Step 5: Thus, 2 is the remainder and 13 is the quotient.
Question 2.
a.
Answer:
Step 1: Here, the first digit of the dividend is 8 and it is greater to the divisor. So, 8 ÷ 5, 1 will be quotient and 3 will be remainder. So, 1 is written on top as the first digit of the quotient.
Step 2: Bring the second digit of the dividend down and place it beside 3.
Step 3: So, we have 16 as the new dividend. 16 is divisible by 4. We know that 5 × 3 = 15. so, we go for it.
Step 4: Subtract 16 – 15 = 1. Write 4 in the quotient.
Step 5: Thus, 1 is the remainder and 24 is the quotient.
b.
Answer:
Step 1: Here, the first digit of the dividend is 9 and it is divisible by 3. So, 9 ÷ 3, 3 will be quotient and 0 will be remainder. So, 3 is written on top as the first digit of the quotient.
Step 2: Bring the second digit of the dividend down and place it beside 0.
Step 3: So, we have 6 as the new dividend. 6 is divisible by 3. We know that 3 × 2 = 6. so, we go for it.
Step 4: Subtract 6 – 6 = 0. Write 2 in the quotient.
Step 5: Thus, 0 is the remainder and 32 is the quotient.
c.
Answer:
Step 1: Here, the first digit of the dividend is 9 and it is greater to the divisor. So, 9 ÷ 8, 1 will be quotient and 1 will be remainder. So, 1 is written on top as the first digit of the quotient.
Step 2: Bring the second digit of the dividend down and place it beside 1.
Step 3: So, we have 19 as the new dividend. We know that 8 × 2 = 16. so, we go for it.
Step 4: Subtract 19 – 16 = 3. Write 2 in the quotient.
Step 5: Thus, 3 is the remainder and 12 is the quotient.
d.
Answer:
Step 1: Here, the first digit of the dividend is 9 and it is greater to the divisor. So, 8 ÷ 7, 1 will be quotient and 1 will be remainder. So, 1 is written on top as the first digit of the quotient.
Step 2: Bring the second digit of the dividend down and place it beside 1.
Step 3: So, we have 14 as the new dividend. 14 is divisible by 7. We know that 7 × 2 = 14. so, we go for it.
Step 4: Subtract 14 – 14 = 0. Write 2 in the quotient.
Step 5: Thus, 0 is the remainder and 12 is the quotient.
e.
Answer:
Step 1: Here, the first digit of the dividend is 9 and it is greater to the divisor. So, 7 ÷ 3, 2 will be quotient and 1 will be remainder. So, 2 is written on top as the first digit of the quotient.
Step 2: Bring the second digit of the dividend down and place it beside 1.
Step 3: So, we have 15 as the new dividend. 15 is divisible by 3. We know that 3 × 5 = 15. so, we go for it.
Step 4: Subtract 15 – 15 = 0. Write 5 in the quotient.
Step 5: Thus, 0 is the remainder and 25 is the quotient.
Question 3.
a.
Answer:
Step 1: Here, the first digit of the dividend is 9 and it is greater to the divisor. So, 9 ÷ 6, 1 will be quotient and 3 will be remainder. So, 1 is written on top as the first digit of the quotient.
Step 2: Bring the second digit of the dividend down and place it beside 3.
Step 3: So, we have 33 as the new dividend. We know that 6 × 5 = 30. so, we go for it.
Step 4: Subtract 33 – 30 = 3. Write 5 in the quotient.
Step 5: Thus, 3 is the remainder and 15 is the quotient.
b.
Answer:
Step 1: Here, the first digit of the dividend is 7 and it is greater to the divisor. So, 7 ÷ 6, 1 will be quotient and 1 will be remainder. So, 1 is written on top as the first digit of the quotient.
Step 2: Bring the second digit of the dividend down and place it beside 1.
Step 3: So, we have 13 as the new dividend. We know that 6 × 2 = 12. so, we go for it.
Step 4: Subtract 13 – 12 = 1. Write 2 in the quotient.
Step 5: Thus, 1 is the remainder and 12 is the quotient.
c.
Answer:
Step 1: Here, the first digit of the dividend is 8 and it is equal to the divisor. So, 8 ÷ 8, 1 will be quotient and 0 will be remainder. So, 1 is written on top as the first digit of the quotient.
Step 2: Bring the second digit of the dividend down and place it beside 0.
Step 3: So, we have 9 as the new dividend. We know that 8 × 1 = 8. so, we go for it.
Step 4: Subtract 9 – 8 = 1. Write 1 in the quotient.
Step 5: Thus, 1 is the remainder and 11 is the quotient.
d.
Answer:
Step 1: Here, the first digit of the dividend is 8 and it is greater to the divisor. So, 8 ÷ 7, 1 will be quotient and 1 will be remainder. So, 1 is written on top as the first digit of the quotient.
Step 2: Bring the second digit of the dividend down and place it beside 1.
Step 3: So, we have 19 as the new dividend. We know that 7 × 2 = 14. so, we go for it.
Step 4: Subtract 19 – 14 = 5. Write 2 in the quotient.
Step 5: Thus, 5 is the remainder and 12 is the quotient.
e.
Answer:
Step 1: Here, the first digit of the dividend is 8 and it is greater to the divisor. So, 9 ÷ 9, 1 will be quotient and 0 will be remainder. So, 1 is written on top as the first digit of the quotient.
Step 2: Bring the second digit of the dividend down and place it beside 1.
Step 3: So, we have 9 as the new dividend. We know that 9 × 1 = 9. so, we go for it.
Step 4: Subtract 9 – 9 = 0. Write 1 in the quotient.
Step 5: Thus, 0 is the remainder and 11 is the quotient.
Question 4.
a.
Answer:
Step 1: Here, the first digit of the dividend is 8 and it is equal to the divisor. So, 8 ÷ 4, 2 will be quotient and 0 will be remainder. So, 2 is written on top as the first digit of the quotient.
Step 2: Bring the second digit of the dividend down and place it beside 1.
Step 3: So, we have 08 as the new dividend. We know that 4 × 2 = 8. so, we go for it.
Step 4: Subtract 8 – 8 = 0. Write 2 in the quotient.
Step 5: Thus, 0 is the remainder and 22 is the quotient.
b.
Answer:
Step 1: Here, the first digit of the dividend is 8 and it is greater to the divisor. So, 8 ÷ 3, 2 will be quotient and 2 will be remainder. So, 2 is written on top as the first digit of the quotient.
Step 2: Bring the second digit of the dividend down and place it beside 2.
Step 3: So, we have 24 as the new dividend. We know that 3 × 8 = 24. so, we go for it.
Step 4: Subtract 24 – 24 = 0. Write 8 in the quotient.
Step 5: Thus, 0 is the remainder and 28 is the quotient.
c.
Answer:
Step 1: Here, the first digit of the dividend is 7 and it is greater to the divisor. So, 7 ÷ 2, 3 will be quotient and 1 will be remainder. So, 3 is written on top as the first digit of the quotient.
Step 2: Bring the second digit of the dividend down and place it beside 1.
Step 3: So, we have 17 as the new dividend. We know that 2 × 8 = 16. so, we go for it.
Step 4: Subtract 17 – 16 = 1. Write 8 in the quotient.
Step 5: Thus, 1 is the remainder and 38 is the quotient.
d.
Answer:
Step 1: Here, the first digit of the dividend is 7 and it is greater to the divisor. So, 7 ÷ 4, 1 will be quotient and 3 will be remainder. So, 1 is written on top as the first digit of the quotient.
Step 2: Bring the second digit of the dividend down and place it beside 3.
Step 3: So, we have 38 as the new dividend. We know that 4 × 9 = 36. so, we go for it.
Step 4: Subtract 38 – 36 = 2. Write 9 in the quotient.
Step 5: Thus, 2 is the remainder and 19 is the quotient.
e.
Answer:
Step 1: Here, the first digit of the dividend is 9 and it is greater to the divisor. So, 9 ÷ 8, 1 will be quotient and 1 will be remainder. So, 1 is written on top as the first digit of the quotient.
Step 2: Bring the second digit of the dividend down and place it beside 1.
Step 3: So, we have 13 as the new dividend. We know that 8 × 1 = 8. so, we go for it.
Step 4: Subtract 13 – 8 = 5. Write 1 in the quotient.
Step 5: Thus, 5 is the remainder and 11 is the quotient.
