We are talking about machine integers here... So division is actually all about evenly dividing counts of things with the possibility that you might have some l

We are talking about machine integers here... So division is actually all about evenly dividing counts of things with the possibility that you might have some left over. Reals are fundamentally different and are not found in things like computers and in general are of no practical use. For work with values (as opposed to counts) we use something called floating point.