Multiply 0 by any number to get 0. Both sides of the equation are multiplied by 0, and the result is that both sides are equal to 0, and 0=0, and the equation holds.

0 can't be divided, but the factor is ok.

of course can

Both sides of the equation are 0=0.

But it can't be used to solve problems, so it doesn't make sense, does it?