Divide by Zero. Divide by zero. I want to use the phrase 'divide by zero' to indicate a physically impossible task. Subtraction is the opposite of addition, as division is the opposite of multiplication.
Any number multiplied by zero gives zero.
In essence, the field axioms lay down a set of rules, i.e., basic assumptions, about how to put numbers together to get other numbers. As such, we disallow it as a valid operation on numbers. Division by 0 is not so much a phenomenon as it is a supposed construction, which is provably contradictory to a given set of rules and therefore not permitted within the system upon which the rules are imposed.