Theory:

M x 0 = M
M/0 = M

7 x 0 = 7
7/0 = 7

I don’t believe you are performing a valid operation when you multiply by zero. After all, aren’t we just taking “7” and not multiplying it at all?

If so 7 x 0 = 7

When we divide by 0, aren’t we just dividing something zero times?

If so 7/0 = 7

Pretend the line segment below is 15cm long.

———————————

What happens when we divide it Zero times? Well the line segment is 15.

There is a multiplicative inverse of “Zero” shown in the OP picture. There is a multiplicative inverse of “Zero”. The multiplicative inverse of “Zero” equals 1 given these parameters.