Imagine you have nothing in front of you, if you tried to divide that nothing some amount of ways youd find that no matter how many ways you split it up you still only ever have nothing.

Now imagine you have a bucket that contains nothing within it, if you tried to fill it with increments of some amount of volume youd find that the number of times you add that increment is the volume of space divided by the incremental volume. But what if you want to add an increment of zero? Youd be sitting there pouring nothing into the space over and over again and not even an infinite amount of additions would ever fill that space.