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.

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## Long Division – Definition

### 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 Hundred÷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 Tens÷2 ones=3Ten.

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

5. Bring down the one’s digit 5. Divide it by 2.

5 ones÷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 thousand’s digit 3. Divide it by 3.

3 thousands÷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.

9Hundred÷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 Tens÷3 ones=2Tens.

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

7. Bring down One’s digit 8. Divide it by 3.

8 Ones÷3 ones=2 ones.

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

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

**Example 3:**

Find the division of 3938 by 3?

**Solution:**

1. Begin with the thousand’s digit 3. Divide it by 3.

3 thousands÷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 Hundred÷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 Tens÷3 ones=1 Tens.

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

7. Bring down One’s digit 8. Divide it by 3.

8 Ones÷3 ones=2 ones.

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

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

**Example 4:**

Find the division of 8645, 2?

**Solution:**

1. Begin with the thousand’s digit 8. Divide it by 2.

8 thousands÷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 Hundred÷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 Tens÷2 ones=2 Tens.

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

7. Bring down One’s digit 5. Divide it by 2.

5 Ones÷2 ones=2 ones.

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

Therefore, the division of 8645÷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 thousand’s digit 2. Divide it by 2.

2 thousands÷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 Hundred÷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 Tens÷2 ones=4 Tens.

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

7. Bring down One’s digit 9. Divide it by 2.

9 Ones÷2 ones=4 ones.

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

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