in reply to integer operations

POSIX::ceil is the solution, but if you know that the numerator is always an integer, and the denominator is a positive integer, then you can use this too:
$numerator = 15; $denominator = 2; print int(($numerator $denominator + - 1) / $denominator), $/;
or
$numerator = 15; $denominator = 2; print do{ use integer; ($numerator ++ $denominator - 1) / $denominator }, $/;