Why can’t you divide by zero? Not for the reason most people think. Division asks: how many copies of the divisor sum to the dividend? When we say 10÷2=5, we mean two groups of 5 add back to 10. For 1÷0, we’re asking: how many zeros add to 1? Add zero plus zero, you’re still at zero. Add infinitely many more, and you never reach anything other than zero. No value satisfies the basic definition. That’s why 1÷0 is undefined. The meaning of division fails to produce a consistent answer. Here’s the

Why can’t you divide by zero? | StarTalk

Division by Zero | Arithmetic #131