Long division is a method for dividing numbers.
Long division can be used for numbers with digits after the decimal point.
The long division below shows what we mean by using a number with digits after the decimal point:

In this long division, 8.4 has a digit (4) after a decimal point (.). It is possible to use long division to divide into a decimal, divide by a decimal, and both together.## How to Divide

Long division can be used when the number being divided
## How to Divide

Long division can be used when the number you are dividing
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In this long division, 8.4 has a digit (4) after a decimal point (.). It is possible to use long division to divide into a decimal, divide by a decimal, and both together.

## How to Divide *Into* a Decimal

Long division can be used when the number being divided *into*(called the dividend) has a decimal point within it.## 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 (8) by the divisor (4). Do not count remainders.

8 ÷ 4 = 2

4 goes into 8 **2**times.## 4

Write the answer (2) above the long division bracket.

## 5

Multiply the answer from

**Step 3**(2) with the divisor (4).
2 × 4 = 8

Write the answer underneath the digit divided into:
## 6

Subtract the bottom number (8) from the top number (8).

8 − 8 = 0

## 7

**The decimal point has been reached in the dividend.**Place a decimal point above the long division bracket, directly above the decimal point in the dividend.

## 8

Bring down the next digit of the dividend (4).

## 9

Divide this number (4) by the divisor (4). Do not count remainders.

4 ÷ 4 = 1

4 goes into 4 **1**time.## 10

Write the answer (1) above the long division bracket.

## 11

Multiply the answer from

**Step 9**(1) with the divisor (4).
1 × 4 = 4

Write the answer underneath the number divided into:
## 12

Subtract the bottom number (4) from the top number (4).

4 − 4 = 0

There are no more digits to bring down.
## Answer:

The solution to 8.4 ÷ 4 is 2.1## How to Divide *By* a Decimal

Long division can be used when the number you are dividing *by*(called the divisor) has a decimal point within it.## 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

Count how may digits there are after the decimal point in the divisor (0.2).
There is 1 digit after the decimal point.

## 3

**To do the division, we want the divisor to be a whole number.**Move the decimal point in the divisor right by as many places (1) as there are digits after it (as found in

**Step 2**).

## 4

**To keep the division the same, move the decimal point the same number of places to the right in the dividend.**Move the decimal point in the dividend right by the same number of places.

**Don't forget:**if there is a number without a decimal point, moving the decimal point a number of places to the right is the same as adding the same number of

**0**s to the end of the number.

## 5

The long division has become:

## 6

Write the new dividend inside the

*long division bracket*and the new divisor outside to its left:## 7

Divide the first digit of the dividend (4) by the divisor (2). Do not count remainders.

4 ÷ 2 = 2

2 goes into 4 **2**times.## 8

Write the answer (2) above the long division bracket.

## 9

Multiply the answer from

**Step 7**(2) with the divisor (2).
2 × 2 = 4

Write the answer underneath the digit divided into:
## 10

Subtract the bottom number (4) from the top number (4).

4 − 4 = 0

## 11

Bring down the next digit of the dividend (0).

## 12

Divide this number (0) by the divisor (2). Do not count remainders.

0 ÷ 2 = 0

2 goes into 0 **0**times.## 13

Write the answer (0) above the long division bracket.

## 14

Multiply the answer from

**Step 12**(0) with the divisor (2).
0 × 2 = 0

Write the answer underneath the number divided into:
## 15

Subtract the bottom number (0) from the top number (0).

0 − 0 = 0

There are no more digits to bring down.
## Answer:

The solution to 4 ÷ 0.2 is 20.## 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**.

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