It isn't quite that simple. :P
The truth is always simple, although unpalatable to many a flim-flam man... Can you demonstrate infinity? Typical example : slice up a watermelon into an infinite number of pieces by cutting off zero pieces...how much air do you want to wear out... until the world wears flat or hell glaciates? Can you think of any other examples? Thus n/0=n-0-0-...=n because division is repetitive subtraction and nx0=n+0=n because multiplication is repetitive addition in a magnitude sense(rotate the symbols 45 degrees : / to - and x to +). Agree or disagree?