Besides, if you want to place a zero denominator on one side, you must place the entire side over zero, not just one number or the other. Then do the same to the other side of course (as in, the entire side).
0 x 1 = 0 x 2
so
0/0 x 1 = 0/0 x 2?
Nope. This is how it goes:
(0 x 1)/0 = (0 x 2)/0
Both sides equal 0 and thus, 0 = 0, not 1 = 2.
And technically speaking, division by zero is possible but ONLY when the numerator is zero or at least comes out to zero.