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