In mathematics, the remainder is the amount “left over” after performing some computation. In arithmetic, the remainder is the integer “left over” after dividing one integer by another to produce an integer quotient (integer division). In algebra, the remainder is the polynomial “left over” after dividing one polynomial by another. The modulo operation is the operation that produces such a remainder when given a dividend and divisor.
Formally it is also true that a remainder is what is left after subtracting one number from another, although this is more precisely called the difference. This usage can be found in some elementary textbooks; colloquially it is replaced by the expression “the rest” as in “Give me two dollars back and keep the rest.” However, the term “remainder” is still used in this sense when a function is approximated by a series expansion and the error expression (“the rest”) is referred to as the remainder term.
A part or parts remaining after some has/have been removed.
“My son ate part of his cake and I ate the remainder.”
“You can have the remainder of my clothes.”
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.”
The number left over after a simple subtraction
“10 minus 4 leaves a remainder of 6”
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.”
An estate in expectancy which only comes in its heir’s possession after an estate created by the same instrument has been determined
To mark or declare items left unsold as subject to reduction in price.
“The bookstore remaindered the unsold copies of that book at the end of summer at a reduced price.”
Someone or something that reminds.
“He left a note as a reminder to get groceries.”
Writing that reminds of open payments.
“She ignored first the reminder of 80 cents. At the end, she was sentenced to pay 200 euros!”
a part of something that is left over when other parts have been completed, used, or dealt with
“the remainder of the year”
“leave a few mushrooms for garnish and slice the remainder”
the number which is left over in a division in which one quantity does not exactly divide another
“23 divided by 3 is 7, remainder 2”
a copy of a book left unsold when demand has fallen
“it seems that buying and selling remainders is the lowest form of bookselling”
a property interest that becomes effective in possession only when a prior interest (created at the same time) ends.
dispose of (a book left unsold) at a reduced price
“titles are being remaindered increasingly quickly to save on overheads”