Stephen Colbert Went On David Letterman's Show: Watch The Full Interview (VIDEO)

WATCH: Stephen Colbert's Full Interview With David Letterman

We're used to seeing him in character as the right-wing host of 'The Colbert Report', so it's nice to get a glimpse of Stephen Colbert as himself - and as a result, a taster of what's in store when he takes over from David Letterman as host of 'The Late Show'.

Check out what happened when Colbert was a guest on the show on Tuesday night, regaling Letterman with anecdotes about applying for an internship on 'The Late Show', his family's reaction to his new job, his work-related injury - and even a 'Top Ten' list he submitted to the show many years ago.

Oh, and yes - he took a selfie with Dave. Which, as he points out, is a very "retro" thing to do these days.

Marvellous.

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