What happens
The King fears Hamlet's madness poses a danger and decides to send him to England. Rosencrantz and Guildenstern receive their orders to escort him. After they leave, Polonius arrives to tell the King he'll eavesdrop on Hamlet's conversation with Gertrude. Alone, the King kneels to pray but finds himself unable to repent, since he still possesses the crown and queen he murdered to obtain. He recognizes his guilt but cannot bring himself to give them up.
Why it matters
This scene crystallizes the King's paralysis between conscience and desire. Claudius is not a tyrant indifferent to his crimes; he feels their weight acutely. His soliloquy—'My words fly up, my thoughts remain below'—captures a man whose language performs contrition while his will refuses it. The very act of kneeling to pray becomes theatrical rather than redemptive. Claudius understands theologically that genuine repentance requires renouncing his gains, yet he cannot release the crown and queen. This internal deadlock makes him more tragic than purely villainous: he is trapped by his own desires.
The scene also reveals how Claudius's guilt renders him reactive rather than commanding. He sends Hamlet to England not from secure authority but from anxious self-protection. His reliance on Rosencrantz and Guildenstern—and his need to hide behind Polonius's spying—shows a king who has lost control of events. The irony deepens: Hamlet, whom Claudius judges as mad and dangerous, moves with clearer purpose. By the scene's end, Claudius has set in motion the very forces that will destroy him, all while recognizing their moral cost.