https://en.wikipedia.org/wiki/Division_by_zero https://en.wikipedia.org/wiki/Division_by_zero says > There are mathematical structures in which a/0 is defined

https://en.wikipedia.org/wiki/Division_by_zero https://en.wikipedia.org/wiki/Division_by_zero says > There are mathematical structures in which a/0 is defined for some a such as in the Riemann sphere (a model of the extended complex plane) and the Projectively extended real line; however, such structures do not satisfy every ordinary rule of arithmetic (the field axioms). ... > This definition leads to many interesting results. However, the resulting algebraic structure is not a field, and should not be expected to behave like one. For example, ∞ + ∞ is undefined in this extension of the real line. ... > Although division by zero cannot be sensibly defined with real numbers and integers, it is possible to consistently define it, or similar operations, in other mathematical structures.