How to Do Long Division

What Is Long Division?

Long division is a method for dividing numbers.

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

A Real Example of How to Do Long Division

Doing long division 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 (3).

8

Divide this number (13) by the divisor (6). Do not count remainders.

13 ÷ 6 = 2  r 1 

6 goes into 13 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 (13).

13 − 12 = 1

12

Bring down the next digit of the dividend (8).

13

Divide this number (18) by the divisor (6). Do not count remainders.

18 ÷ 6 = 3

6 goes into 18 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 (18).

18 − 18 = 0

There are no more digits to bring down.

Answer:

The solution to 138 ÷ 6 is 23.

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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)