## 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.