Mathematics. Why we can not divide any number by 0?

After I started writing about math, I saw the paragraph that I shared below. It was discouraging but also it was utterly true.

It is a melancholy experience for a professional mathematician to find himself writing about mathematics. The function of a mathematician is to do something, to prove new theorems, to add to mathematics, and not to talk about what he or other mathematicians have done. Statesmen despise publicists, painters despise art-critics, and physiologists, physicists, or mathematicians have usually similar feelings: there is no…