It would be more accurate simply to say that the question has no answer -- your ten apples cannot be described as a multiple of my zero apples.
You can choose to call that "infinity times", but for most purposes that is just a way to fool yourself into thinking that you have answered the problem when in fact you haven't. More specifically, if you know you have "two times as many as 5" apples, you can use this to compute the exact number of apples -- but knowing that you have "infinity times as many as 0 apples" tells you nothing useful.
It's better just to leave the result of the division-by-zero undefined. You don't have any times zero apples.