How soon after the air date can you see Stephen Colbert on Youtube?

I found a Colbert segment while searching, but it was from last week. How soon is a given show available after its original air date? How can I find the show from a specific date in the past?

Colbert is on YouTube the day after broadcast. We always watch the previous night’s monologue. (He’s been off this week.) Can’t advise you on how to find a show of a specific date since I’ve never checked, but YouTube goes pretty far back.

Normally at least the monologue is up the next day, but Colbert has been in reruns this week. That may be why you can’t find a monologue dated from this week.