by the way vs remotely

by the way

adv
  • Irrelevantly, off-topic. 

prep
  • Incidentally; used in referencing a parenthetical statement not timely, central, or crucial to the topic at hand; foregone, passed by, something that has already happened. 

remotely

adv
  • Not much; scarcely; hardly. 

  • At a distance, far away. 

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