# Division

In mathematics, **division** is an arithmetic operation which is the inverse of multiplication.

## Contents

## Overview

Since division is the inverse of multiplication then

### Definition

If and , then , where is the dividend, is the divisor, and is the quotient.

### Process

The most common division algorithm used is with long division, a process that divides parts of numbers. Long division "breaks" up the number to make division simpler.

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### Conventions

If the quotient is not a whole number, it is usually written in decimal form: . Sometimes, it is written with its remainder: .

## Dividing Special Numbers

### Fractions

If you divide by a fraction, multiply the dividend by the divisor's reciprocal (Note: You will see a definition of a reciprocal if you go to the article Ordinary Multiplication).

For instance:

### Decimals

When dividing by decimals, multiply both sides by a power of 10 so the divisor is an integer.

For instance:

### One and Itself

Any number divided by one equals itself. Similarly, any number divided by itself equals one.

For instance: and

### Zero

Division by is undefined. Equations where any values are divided by will become undefined also.