Source : Webster's Revised Unabridged Dictionary (1913)

Deeply \Deep"ly\, adv.
   1. At or to a great depth; far below the surface; as, to sink
      deeply.

   2. Profoundly; thoroughly; not superficially; in a high
      degree; intensely; as, deeply skilled in ethics.

            He had deeply offended both his nobles and people.
                                                  --Bacon.

            He sighed deeply in his spirit.       --Mark viii.
                                                  12.

   3. Very; with a tendency to darkness of color.

            The deeply red juice of buckthorn berries. --Boyle.

   4. Gravely; with low or deep tone; as, a deeply toned
      instrument.

   5. With profound skill; with art or intricacy; as, a deeply
      laid plot or intrigue.

Source : WordNet®

deeply
     adv 1: to a great depth psychologically; "They felt the loss
            deeply" [syn: {profoundly}]
     2: to a great depth; "dived deeply"; "dug deep" [syn: {deep}]
     [also: {deeper}]