The men paid 'dearly' for their crimes. [=they were punished severely]
her 'dearly' beloved husband [=her husband, whom she loved very much]
He 'dearly' wanted to believe that it was true.
(..) who that teacher might be? You didn't bring Professor Slughorn back simply to teach potions, did you, sir? No, I did not. You see, Professor Slughorn possesses something that I desire very dearly. He will not give it out easily. You said Professor Slughorn would try to collect to me. I did. (..)2009 Harry Potter and the Half-Blood Prince