Man, the problem is not 0/0, the problem is: You can't divide any number by zero!
You remember me a fun example of n/0 in the book "Fermat Theorem" (I don't know if the title in english is this). Just take a look, I will show you that 2=1

First, let's start with a simple declaration:
a = b

Now we multiply both by a, getting:
a^2 = ab

Now we add a^2 - 2ab in both sides:
a^2 + a^2 - 2ab = ab + a^2 - 2ab

This can be simplified to:
2(a^2 - ab) = a^2 - ab

Finally we divide both sides by a^2 - ab and we get:
2 = 1

Can you find where's the error?! Very fun, not? :-P

Graciliano M. P.
"The creativity is the expression of the liberty".