I was puzzling over this question that a friend suggested to me. I have come up with no definite answer. What I thought was that:
$x/x$ is $1$ and
$x/0$ is UNDEFINED (or some people say it's $\infty$)
To explain this you need some weird quantum mathematics. When I scoured the internet for answers, all I could find was exactly what I found myself. Does anyone have a definitive answer (even if it's just definitely impossible).
According to Wheel Theory, $0/0$ is designated the symbol $\bot$.