How to Do Long Division with a Remainder

What Is Long Division with a Remainder?

Long division is a method for dividing numbers.

Long division is used for dividing numbers that have many digits.

Sometimes a number will not divide exactly into another: there will be a remainder.

A Real Example of How to Do Long Division

Doing long division, when there will be a remainder, is easy.

Question

Divide the numbers below.

Step-by-Step:

1

Identify the number being divided (called the dividend) and the number you are dividing by (called the divisor).

2

Write the dividend inside the long division bracket and the divisor outside to its left:

3

Divide the first digit of the dividend (1) by the divisor (6). Do not count remainders.

1 ÷ 6 = 0

6 goes into 1 0 times.

4

Write the answer (0) above the long division bracket.

5

Multiply the answer from Step 3 (0) with the divisor (6).

0 × 6 = 0

Write the answer underneath the digit divided into:

6

Subtract the bottom number (0) from the top number (1).

1 − 0 = 1

7

Bring down the next digit of the dividend (4).

8

Divide this number (14) by the divisor (6). Do not count remainders.

14 ÷ 6 = 2  r 2 

6 goes into 14 2 times.

9

Write the answer (2) above the long division bracket.

10

Multiply the answer from Step 8 (2) with the divisor (6).

2 × 6 = 12

Write the answer underneath the number divided into:

11

Subtract the bottom number (12) from the top number (14).

14 − 12 = 2

12

Bring down the next digit of the dividend (0).

13

Divide this number (20) by the divisor (6). Do not count remainders.

20 ÷ 6 = 3  r 2 

6 goes into 20 3 times.

14

Write the answer (3) above the long division bracket.

15

Multiply the answer from Step 13 (3) with the divisor (6).

3 × 6 = 18

Write the answer underneath the number divided into:

16

Subtract the bottom number (18) from the top number (20).

20 − 18 = 2

There are no more digits to bring down.

17

The number above the long division bracket is the quotient. The number at the bottom is the remainder.

18

Write the answer as 23 (the quotient), r (for remainder) 2 (the remainder).

Answer:

The solution to 140 ÷ 6 is 23 r 2.

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See Also

How to divide How to multiply How to subtract What is place value? Try a long division ( interactive widget)