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.Parts of a Division
- The number you divide into is the dividend.
- The number you divide by is the divisor.
- The result of the division is the quotient.