As nouns the difference between remainder and remains
is that
remainder is a part or parts remaining after some has/have been removed while
remains is what is left after a person (or any organism) dies; a corpse.
As verbs the difference between remainder and remains
is that
remainder is (commerce) to mark or declare items left unsold as subject to reduction in price while
remains is (
remain).
As a adjective remainder
is remaining.
Other Comparisons: What's the difference?
remainder Alternative forms
* R (mathematics)
Noun
( en noun)
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.
*
 Thirdly, I continue to attempt to interdigitate the taxa in our flora with taxa of the remainder of the world.
(mathematics) 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.
(mathematics) The number left over after a simple subtraction
 ''10 minus 4 leaves a remainder of 6
(commerce) Excessive stock items left unsold and subject to reduction in price.
 ''I got a really good price on this shirt because it was a remainder .
(legal) An estate in expectancy which only comes in its heir's possession after an estate created by the same instrument has been determined
Synonyms
* (a part or parts remaining) remnant, residue, rest
* surplus
Derived terms
* remainderman
* contingent remainder
See also
* addition, summation: (augend) + (addend) = (summand) × (summand) = (sum, total)
* subtraction: (minuend) ? (subtrahend) = (difference)
* multiplication: (multiplier) × (multiplicand) = (factor) × (factor) = (product)
* division: (dividend) ÷ (divisor) = (quotient), remainder left over if divisor does not divide dividend
* modulus
See also
* remainderman
Adjective
()
remaining
Synonyms
* leftover
Verb
( en verb)
(commerce) 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.

remains Noun
( enplural noun)
What is left after a person (or any organism) dies; a corpse.

 The victim's remains were one small piece of bone.
Historical or archaeological relics.
(senseid)The extant writings of a deceased person.

All that is left of the stock of some things; remnants.
* {{quotebook, year=1963, author=(Margery Allingham)
, title=( The China Governess)
, chapter=Foreword citation
, passage=Everything a living animal could do to destroy and to desecrate bed and walls had been done. […] A canister of flour from the kitchen had been thrown at the lookingglass and lay like trampled snow over the remains of a decent blue suit with the lining ripped out which lay on top of the ruin of a plastic wardrobe.}}

(rare) .
Verb
( head)
(remain)
 We'll go ahead, while she remains here.
