Why division by zero is not permissible?

Answer 1

If you just want an answer for it - because anything divided by zero is infinite. It can be put in such simple terms.

However, if you want somewhat logical explanation, you should understand what does division mean? Division means dividing some quantity of something (numerator) in equal parts.

Let us take an example of 1/2 (half). This means quantity of 1 is divided equally among 2.
Or similarly 1/4 or 1/3.

Same is the case with 1 or 2. If you have 2 chocolates, it can be said 2 chocolates are divided equally among 1, that's you, in this case. (2/1 = 2)

Now, the same happens when the denominator is zero. This means whatever is the quantity, is to be divided among 0, that is nothing.