necessity vs remainder

necessity

noun
  • Something which makes an act or an event unavoidable; an irresistible force; overruling power. 

  • Greater utilitarian good; used in justification of a criminal act. 

  • Indispensable requirements (of life). 

  • The negation of freedom in voluntary action; the subjection of all phenomena, whether material or spiritual, to inevitable causation; necessitarianism. 

  • The condition of being needy; desperate need; lack. 

  • Something necessary; a requisite; something indispensable. 

  • The quality or state of being necessary, unavoidable, or absolutely requisite. 

remainder

verb
  • To mark or declare items left unsold as subject to reduction in price. 

adj
  • Remaining. 

noun
  • Excess stock items left unsold and subject to reduction in price. 

  • 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. 

  • An estate in expectancy which only comes in its heir's possession after an estate created by the same instrument has been determined 

  • A part or parts remaining after some has/have been removed. 

  • The number left over after a simple subtraction 

How often have the words necessity and remainder occurred in a corpus of books? (source: Google Ngram Viewer )