check out vs remain

check out

verb
  • To leave in a hurry. 

  • To die. 

  • To examine, inspect, look at closely, ogle; to investigate; to gather information so as to make a decision. 

  • To obtain (source code or other material) from a repository so that one can modify it and later check it back in. 

  • To prove (after an investigation) to be the case, or to be in order. 

  • To visit the oche for the last time and clear one's remaining points to win the game. 

  • To record (someone) as leaving the premises or as taking something therefrom, as from a library or shop. 

  • To become uninterested in an activity and cease to participate in more than a perfunctory manner; to become uncooperative. 

  • To withdraw (an item), as from a library, and have the withdrawal recorded. 

  • To confirm and pay for goods and services at a facility (e.g.: supermarket, online store, hotel) when leaving. 

  • To become catatonic or otherwise nonresponsive. 

remain

verb
  • To await; to be left to. 

  • To continue in a state of being. 

  • To continue unchanged in place, form, or condition, or undiminished in quantity; to abide; to stay; to endure; to last. 

  • To be left after a number or quantity has been subtracted or cut off; to be left as not included or comprised. 

  • To stay after others or other parts have been removed or otherwise disappeared. 

noun
  • That which is left; relic; remainder. 

  • That which is left of a human being after the life is gone; relics; a dead body. 

  • Posthumous works or productions, especially literary works. 

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