When we talk about dividing, what we are really doing is multiplying by the inverse. By that I mean that 7/9 is shorthand for 7*(1/9). So when you ask why we cannot divide by 0, you are really asking why 1/0 isn’t defined.
The reason 1/0 isn’t defined is because imagine 1/0=x. Then multiple both sides by 0 to get 1=x*0. However anything times 0 is 0, so we get 1=0, which is clearly wrong. Therefore 1/0 must be undefined.
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