Only the purest of pure mathematicians would agree with you, engineers would say say it was infinity.

Well I

*am *an engineer....

It's trivial to show that for a/b = c and therefore a =bc, if b = 0 there is

*no value of c* which will satisfy the equation a =bc for the case or a <> 0....., not even infinity;

*all values of c* will satisfy the case of a= 0... therefore undefined.

Slightly edited...