Remainder

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.

REFERENCES:

Nagell, T. "Remainders." §2 in Introduction to Number Theory. New York: Wiley, pp. 12-13, 1951.