If  m and n are both integers the function irem computes the integer remainder of m divided by n. If the third argument is present it will be assigned the quotient. Likewise, iquo computes the integer quotient of m divided by n and if the third argument is present assigns it the remainder.

Specifically, if m and n are integers then irem returns r such that $m=nq+r,\left|r\right|<\left|n\right|$ and $0\le mr$.

If either of m or n is symbolic, then irem remains unevaluated.

The irem and iquo commands are thread-safe as of Maple 15.

For more information on thread safety, see index/threadsafe.

$\mathrm{irem}\left(23\&comma;4\&comma;'q'\right)$

$3$

$q$

$5$

$\mathrm{iquo}\left(23\&comma;4\&comma;'r'\right)$

$5$

$r$

$3$

$\mathrm{irem}\left(-23\&comma;4\right)$

$\mathrm{-3}$

$\mathrm{iquo}\left(-23\&comma;4\right)$

$\mathrm{-5}$

$\mathrm{irem}\left(23\&comma;-4\right)$

$3$

$\mathrm{iquo}\left(23\&comma;-4\right)$

$\mathrm{-5}$

$\mathrm{irem}\left(-23\&comma;-4\right)$

$\mathrm{-3}$

$\mathrm{iquo}\left(-23\&comma;-4\right)$

$5$

$\mathrm{irem}\left(x\&comma;3\right)$

$\mathrm{irem}\left(x\&comma;3\right)$

$\mathrm{rem}\left(x\&comma;3\&comma;x\&comma;'q'\right)$

$0$

$q$

$\frac{x}{3}$

$\mathrm{irem}\left(5\&comma;2.3\right)$

Error, invalid input: irem received 2.3, which is not valid for its 2nd argument, n

$\mathrm{frem}\left(5\&comma;2.3\right)$

$0.4$