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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,

$\displaystyle 10/3$ $\textstyle =$ $\displaystyle 3+1/3$  
$\displaystyle 10\backslash 3$ $\textstyle =$ $\displaystyle 3.$  

© 1996-9 Eric W. Weisstein