There is no standard that says quo/rem or div/mod should mean one or the other. And in fact there are more than just two choices for how to implement these. See

There is no standard that says quo/rem or div/mod should mean one or the other. And in fact there are more than just two choices for how to implement these. See e.g. https://en.wikipedia.org/wiki/Modulo_operation https://en.wikipedia.org/wiki/Modulo_operation