You can't divide by 0 for the following reasons:
i. 0 is not a true number.
ii. The unit cannot be divided into 0 equal parts and that's what
the denominator of any fraction means.
For example, 4/5 means 4 equal parts of the unit that has
been divided into 5 equal parts.
iii. Zero does not obey the properties of proportion.
iv. In the case of subtraction and addition, zero is a
NON-OPERATION (NOP). In the case of division and
multiplication it is absurd.
Zero is most useful as a place holder and for disambiguation in representation of numbers in a given radix system.