What Is Long Division? (Interactive Widget)

Use this interactive widget to see a step-by-step explanation of long division.

This is a randomly generated long-division sum.

See similar widgets on long addition, long subtraction, and long multiplication.

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. 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.

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