His promotion is long 'overdue'. = He is long 'overdue' for a promotion. [=he should have been given a promotion by now]
Her baby is 'overdue' by one week. [=her baby has not been born yet and it is a week since its birth was expected]
She reminded him that the rent was 'overdue'.
(..) after the Wayne Foundation event. That's a job for the police? When you and Dent cleaned up the streets, you cleaned them good. And pretty soon we'll be chasing down, uh, overdue library books. And yet, here you are, like we're still at war. - What's your name, son? - Blake, sir. You have something (..)2012 The Dark Knight Rises