remains vs residue

remains

noun
  • All that is left of the stock of some things; remnants. 

  • What is left after a person (or any organism) dies; a corpse. 

  • Historical or archaeological relics. 

  • The extant writings of a deceased person. 

residue

noun
  • Whatever remains after something else has been removed. 

  • A molecule that is released from a polymer after bonds between neighbouring monomers are broken, such as an amino acid in a polypeptide chain. 

  • Whatever property or effects are left in an estate after payment of all debts, other charges and deduction of what is specifically bequeathed by the testator. 

  • A form of complex number, proportional to the contour integral of a meromorphic function along a path enclosing one of its singularities. 

  • The substance that remains after evaporation, distillation, filtration or any similar process. 

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