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.