In general, a remainder is a quantity "left over" after performing a particular algorithm. The term is most commonly used to refer to the number left over when two integers are divided by each other in integer division. For example, , with a remainder of 6. Of course in real division, there is no such thing as a remainder since, for example, .

The term remainder is also sometimes applied to the residue of a congruence.

 

Division, Integer Division, Polynomial Remainder, Quotient, Residue