1
general::
Also, quite a few;quite a lot. A considerable or moderate amount, as in There's still quite a bit of snow on the ground, or Quite a few parking spaces are open. [Second half of 1800s]
American Heritage Idioms
2
general::
Phrase(s): quite a bit
Go to quite a few and quite a lot; quite a bit; quite a number
McGrawhill's American Idioms And Phrasal Verbs