## Divide Decimals

### Info

#### How to Correctly Divide Decimals by Hand

If you can already do long division then you shouldn't have a problem dividing decimals. You just need to remember 2 methods depending upon whether you want to divide by a whole number or decimal.

##### Dividing a Decimal by a Whole Number

If you want to divide a decimal by a whole number e.g. `1.812 / 6`

then follow this method:

**1. Ignore the decimal points (for now) and do a regular long division.**

For example, `1.812 / 6`

becomes `1812 / 6`

. Let's work it out:

```
̲ ̲3̲0̲2
6|1812
```

**2. Put the decimal point back to where it was originally (in the 1812) and then place one in the answer directly above it, making sure it lines up perfectly.**

```
̲ ̲.̲3̲0̲2
6|1.812
```

Now you almost have your answer. Just make sure you always add and/or remove the necessary zeros e.g. `.302`

should be `0.302`

and if `1.5000`

was the answer it should be `1.5`

(knocking any zeros off the end).

##### Dividing a Whole Number or Decimal by a Decimal

If you want to divide a whole number or decimal by a decimal e.g. `123 / 4.5`

or `1.23 / 4.5`

then follow this method:

**1. Look at the number you are dividing by e.g. 4.5.**

**2. With that decimal, move its point to the right until that decimal becomes a whole number. e.g. 45**

**3. Remember how many places to the right the decimal point moved e.g. in this case it was 1.**

**4. Look at the other number ( 123 or 1.23) and move its decimal point to the right the same number of places you moved the other (1 in this case). For example: 123.0 would become 1230.0 and 1.23 would become 12.3.**

**5. Now follow the first method "Dividing a Decimal by a Whole Number" and you'll find your answer.**

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