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Ah yes, indeterminate forms. I don't know how far you are in math, but eventually you'll get to method to deal with 0/0 and 0^0 and all sorts of other fun things such as that. But only for functions using limits. (It's called L'Hôpital's Rule). In short, math goes crazy when you try to actually divide real numbers by zero. As has already been mentioned, it's an exception. As for zero causing problems... Yes it does. But what where would we be without it? It's one of the most important concepts in pre-alegibraic math.
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