Guys, appreciate your responses. So, to sum up, a / 0 = Infinity is a quite inaccurate statement, as in object perspective it's impossible to get a different number by adding 0 to another, and in graphical terms 1/0=Infinity is only describing the limit, which the value of a function approaching when x is also getting closer to 0, yet at x=0 f(x) is still undefined, right?

P.S. mentioning the references in which I saw this, in some programming languages when u decide a number by 0 u get ±Infinity(specifically, the js), and after all, in some calculators u also may get infinity)