What is the name of the mathematical operator that performs division and returns the remainder?

The mathematical operator that performs division and returns the remainder is referred to as the Modulo operator. This operator is commonly represented by the symbol %. When the Modulo operator is applied between two numbers, it divides the first number by the second and returns the remainder of that division rather than the quotient.

For example, using the Modulo operation, 5 % 2 yields a result of 1 because when 5 is divided by 2, the quotient is 2 and the remainder is 1. This operator is particularly useful in programming and mathematics for tasks that require cyclical operations or checking whether a number is even or odd, among other applications.