0/0 is indeterminate.
Definition of indeterminate form. : any of the seven undefined expressions 0/0, ∞/∞, 0·∞, ∞−∞, 00, ∞0, and 1∞ that a mathematical function may assume by formal substitution.
Let us consider a universe where division by zero is actually defined.
Note:
I know this isn't possible, but the resulting explanation turns out to be very simple.
0∗3=0
So, 3=0/0
But, 0∗69=0
So, 69=0/0
It is clear that zero divided by zero can take any value.
Thus, zero divided by zero is indeterminate.