Optional thought: Just read it.
Student couldn’t *quite* remember how she had remembered why you can’t divide by zero, and she started by saying “I knew 0 / 9 was zero because …” and she drew a 9 and the “gazinta” and the 0, and yes, you could put a “zero” on top and do standard long division.
So, taking that cue, I put the zero on the out side and asked, “what would you put on top so that 0 x that was 9? ” And since nothing made sense…
A nice visual…