In school, they also say that it is impossible to divide by zero. A lot more they say.
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Such operations of division by zero are not defined, in the school are not empty. What you mean is not zero, but infinitely small.

The anecdote.

Over the engineer, physicist and mathematician conducted an experiment:
They placed them in an isolated room, placed a food box there and gave them a pen and a notebook.
After a few hours, I decided to see the results.
Enter the room with the engineer. He sits satisfied and satisfied. "How did you do this?" – they ask him. "Yes, I was putting a pen here, here a fake notebook and the box opened."
The physicist is in the same condition, the whole notebook is printed. The answer to the question is: "I calculated the point, hit it and the box broke up."
The mathematician is wicked and hungry, the notebook is all written, he feverishly writes something on the wall. Look at the beginning of the records: "Suppose the box is open".