# Long Division Without Regrouping and With Remainder | How to do Long Division with Remainders?

Long Division Without Regrouping And With Remainder is an easy method. It is similar to Long Division Without Regrouping And Without Remainder except it has a remainder. This will include Long Division definition, how to do Long Division Without Regrouping And With Remainder. By going through this article completely you can also check the solved examples for a better understanding of the concept.

## Long Division – Definition

In math, long division is a method used for dividing large numbers into groups or parts. The long division helps in breaking the division problem into a sequence of easier steps. Just like the standard division it also includes terminology like Dividend, divisor, Quotient, Remainder. The number that is being divided by is called Dividend. The number that is being divided is called Divisor. The answer to the division is called Quotient. The remainder is the leftover part after division.

### How to do Long Division Without Regrouping and With Remainder?

Consider the following steps for doing long division without Regrouping and with the remainder.

• Start with the first digit of the dividend. Divide the digit with a divisor.
• Write the answer as a quotient and subtract the number from the dividend.
• Bring down the next digit
• Repeat the process.

Here you can have a look at the solved examples of the long division method without regrouping and without remainder.

### Long Division Method Without Regrouping and With Remainder Examples

Example 1:

1. Divide the numbers 265,2 by long division method without regrouping and with the remainder?

Solution:

1. Begin with a hundred digit 2, Divide the hundred digit by 2.

2 HundredÃ·2 ones=1Hundred.

2. Write the 1 as quotient and subtract the hundred digit from the number i.e. 2-2=0.

3. Bring down the tens digit 6. Divide it by 2.

6 TensÃ·2 ones=3Ten.

4. Write the 3 as quotient and subtract 6 from the number i.e. 6-6=0.

5. Bring down the oneâ€™s digit 5. Divide it by 2.

5 onesÃ·2 ones=2 ones

6. Write the 2 as quotient and subtract 4 from the number i.e. 5-4=1.

7. Therefore, the division of 265,2 is 132 with the remainder as 1..

Example 2:

Divide 3968, 3?

Solution:

1. Begin with the thousandâ€™s digit 3. Divide it by 3.

3 thousandsÃ·3ones=1thousand.

2.write 1 as Quotient and subtract 3 from 3 i.e. 3-3=0.

3. Bring down a Hundred digit 9. Divide it by 3.

9HundredÃ·3 ones=3Hundred.

4. Write 3 as Quotient and subtract 9 from 9 i.e. 9-9=0.

5. Bring down tens digit 6. Divide it by 3.

6 TensÃ·3 ones=2Tens.

6. Write 2 as Quotient and subtract 6 from 6 i.e. 6-6=0.

7. Bring down Oneâ€™s digit 8. Divide it by 3.

8 OnesÃ·3 ones=2 ones.

8. Write 2 as Quotient and 2 as the Remainder.

Therefore, the division of 3968Ã·3 is 1322 with the remainder as 2.

Example 3:

Find the division of 3938 by 3?

Solution:

1. Begin with the thousandâ€™s digit 3. Divide it by 3.

3 thousandsÃ·3ones=1thousand.

2. Write 1 as Quotient and subtract 3 from 3 i.e. 3-3=0.

3. Bring down a Hundred digit 9. Divide it by 3.

9 HundredÃ·3 ones=3Hundred.

4. Write 3 as Quotient and subtract 9 from 9 i.e. 9-9=0.

5. Bring down tens digit 3. Divide it by 3.

3 TensÃ·3 ones=1 Tens.

6. Write 1 as Quotient and subtract 3 from 3 i.e. 3-3=0.

7. Bring down Oneâ€™s digit 8. Divide it by 3.

8 OnesÃ·3 ones=2 ones.

8. Write 2 as Quotient and 2 as the Remainder.

Therefore, the division of 3938Ã·3 is 1312 with the remainder as 2.

Example 4:

Find the division of 8645, 2?

Solution:

1. Begin with the thousandâ€™s digit 8. Divide it by 2.

8 thousandsÃ·2ones=4thousand.

2. Write 4 as Quotient and subtract 8 from 8 i.e. 8-8=0.

3. Bring down a Hundred digit 6. Divide it by 2.

6 HundredÃ·2 ones=3Hundred.

4. Write 3 as Quotient and subtract 6 from 6 i.e. 6-6=0.

5. Bring down tens digit 4. Divide it by 2.

4 TensÃ·2 ones=2 Tens.

6. Write 2 as Quotient and subtract 4 from 4 i.e. 4-4=0.

7. Bring down Oneâ€™s digit 5. Divide it by 2.

5 OnesÃ·2 ones=2 ones.

8. Write 2 as Quotient and 1 as the Remainder.

Therefore, the division of 8645Ã·2 is 4322 with the remainder as 1.

Example 5:

Find the long division of 2689,2 without regrouping and without remainder?

Solution:

1. Begin with the thousandâ€™s digit 2. Divide it by 2.

2 thousandsÃ·2ones=1thousand.

2. Write 1 as Quotient and subtract 2 from 2 i.e. 2-2=0.

3. Bring down a Hundred digit 6. Divide it by 2.

6 HundredÃ·2 ones=3Hundred.

4. Write 3 as Quotient and subtract 6 from 6 i.e. 6-6=0.

5. Bring down tens digit 8. Divide it by 2.

8 TensÃ·2 ones=4 Tens.

6. Write 4 as Quotient and subtract 8 from 8 i.e. 8-8=0.

7. Bring down Oneâ€™s digit 9. Divide it by 2.

9 OnesÃ·2 ones=4 ones.

8. Write 4 as Quotient and 1 as the Remainder.

Therefore, the division of 2689Ã·2 is 1344 with the remainder as 1.

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