Logic Sword said:
They way I was taught division was that if I had four cakes and shared them out between four people, everyone would have one cake.
If I have four cakes and share it with no one, I have four cakes.
Simple, really.
Actually, by sharing it to no one and consuming the cake to yourself, you are actually dividing the cake by 1. The real "division by zero" analogy using the cake is that if no one really received any piece of cake. So practically it's useless to divide something by zero. You will only leave the cake rotting, assuming that it was true... *dies*