Consider these mathematical laws:
1) Any real number, when divided by zero, produces modulus and quotient zero.
2) Any real number multiplied by zero is equal to zero.
Therefore, it logically follows, that zero divided by zero is equal to zero.
1) Any real number, when divided by zero, produces modulus and quotient zero.
2) Any real number multiplied by zero is equal to zero.
Therefore, it logically follows, that zero divided by zero is equal to zero.
Premise 1 is false, it presupposes you can divide by zero, this operation is undefined. The division algorithm states
a=bq + r, where b|a (b divides a), The set of R/0 is not closed under division, or the multiplication inverse.
R/0 is an indeterminate form. It is undefined. A limiting process can be applied to an indeterminate form, but remember the episilon-delta proof, the limit never actually gets to zero, only "as close as we like"
The whole process shoudl be restricted to integers anyway to eliminate irrational numbers in the real set.