Integer Division

Division in which the fractional part (remainder) is discarded is called integer division and is sometimes denoted $\backslash$. Integer division can be defined as $a\backslash b\equiv \left\lfloor{a/b}\right\rfloor$, where ``/'' denotes normal division and $\left\lfloor{x}\right\rfloor$ is the Floor Function. For example,

$$10/3 = 3+1/3$$

$$10\backslash 3 = 3.$$