Its simple
x / 0 = infinity
-x / 0 = -infinity
0 / x = 0
but
0 / 0 = nullity according to this guy
Personally I would guess there is nothing to devide in the first place. 0 / x is always 0

So why isnt this 0 but nullity?
*edit*
At work they are telling me
0 /x is not 0.. But what is it then? They dare defy me, but cant disagree with my view but cannot explain their one bit...