As you can see, it's a rather lengthy interview - which we've kept intact for your viewing pleasure - in which they talk about life, the universe and everything. Then things got a bit emotional, with the President of the United States saying: "I can't believe you're leaving before me. In fact, I'm issuing a new executive order that Jon Stewart cannot leave the show."
In case you've been living under a rock, Stewart is set to leave the show next month.