It does not. If you enforce 0/0=1, then you end up in a situation where you can prove any two numbers are equal to each other and you end up with a useless system, so we do not allow for that.
e.g. 0=0*2 -> 0/0 = (0/0)2 -> 1=12 -> 1=2
If you get into calculus though, you’ll have ways to deal with this to some extent using limits.