## Division

Any number can be divided by any non-zero number, called the **divisor**, to give a **quotient** and a **remainder**. In algebra, we use fraction notation for division.

#### Example 5

\(864\div 8=\dfrac{864}{8}=108\)

\(27\div 8 =\dfrac{27}{8}=3\dfrac{3}{8}\)

Using pronumerals, this becomes:

\(x\div y=\dfrac{x}{y}\)

\((x+y)\div 2=\dfrac{x+y}{2}\)

#### Summary

Expression | Description |
---|---|

\(2x+3\) | The number \(x\) is multiplied by 2 and 3 is added to the result. |

\(5x-3\) | The number \(x\) is multiplied by 5 and 3 is subtracted from the result. |

\(3(x-1)\) | One is subtracted from \(x\) and the result is multiplied by 3. |

\(x^2+4\) | The number \(x\) is multiplied by itself, and 4 is added to the result. |

\(\dfrac{x}{5}+6\) | The number \(x\) is divided by 5 and 6 is added to the result. |

\(\dfrac{x+5}{6}\) | Five is added to the number \(x\) and the result is divided by 6. |