Etymology From Middle English remaindre, remeigner, from Anglo-Norman remaindre, with infinitive used as noun.
1
A part or parts remaining after some has/have been removed or already occurred.
My son ate part of his cake and I ate the remainder.
You can have the remainder of my clothes.
3 more examples
He spent the remainder of the war in a prisoner-of-war camp.
When the clocks are put forward at the introduction of summer time, the long-distance night trains automatically become one hour late, and continue to run late for the remainder of their journeys. […] Similarly, when the clocks are put back in the autumn, the night trains become one hour early.1951 June, “The Why and the Wherefore: Railways and Summer Time”, in Railway Magazine, page 429:
Thirdly, I continue to attempt to interdigitate the taxa in our flora with taxa of the remainder of the world.1992, Rudolf M[athias] Schuster, The Hepaticae and Anthocerotae of North America: East of the Hundredth Meridian, volume V, Chicago, Ill.: Field Museum of Natural History, →ISBN, page viii:
2
Mathematics, Sciences The amount left over after subtracting the divisor as many times as possible from the dividend without producing a negative result. If n (dividend) and d (divisor) are integers, then n can always be expressed in the form n = dq + r, where q (quotient) and r (remainder) are also integers and 0 ≤ r < d.
17 leaves a remainder of 2 when divided by 3.
11 divided by 2 is 5 remainder 1.
3
Mathematics, Sciences The number left over after a simple subtraction
10 minus 4 leaves a remainder of 6
4
Business, Commerce Excess stock items left unsold and subject to reduction in price.
I got a really good price on this shirt because it was a remainder.
5
Law An estate in expectancy which only comes in its heir's possession after an estate created by the same instrument has been determined