## 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.## What Is a Remainder?

Division doesn't always work out perfectly. Numbers do not always divide into equal groups. For example, what is:
7 ÷ 2 = ?

Think about sharing 7 apples out into 2 equal groups:
Looking above, it can be seen that this is not possible to split the apples into 2 equal groups.
2 groups of 3 apples can be made, with 1 apple left over:
The answer to 7 ÷ 2 is 3 (as there are 3 apples in each group) **remainder**1 (there is 1 apple left over). This can be written as:

7 ÷ 2 = 3 r 1

The **r**stands for remainder.

## Parts of an 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**.

## Short Cut for Long Division

When you gain enough confidence, you will notice that the first few steps in this lesson are not necessary. In**Step 3**of the example, 1 is divided by 6, and so won't divide at least once. That is why

**0**was written above. Instead, don't divide by the first digit of the dividend, but move along the digits, left to right, until you find the first number larger than the divisor. Just remember that the answer must be written above the last digit. The 2 must be written above the 4 in 14, not the 1.

## You might also like...

#### Help Us Improve Mathematics Monster

- Do you disagree with something on this page?
- Did you spot a typo?

__this form__.

#### Find Us Quicker!

- When using a search engine (e.g., Google, Bing), you will find Mathematics Monster quicker if you add
**#mm**to your search term.

#### Share This Page

If you like Mathematics Monster (or this page in particular), please link to it or share it with others.

If you do, __please tell us__. It helps us a lot!

#### Create a QR Code

Use our handy widget to create a QR code for this page...or any page.