Here it is ... the last moments of Jay Gruden in D.C. right before he boarded a plane and got the hell out of town.
The footage was shot Monday at Dulles International Airport ... just hours after Jay got the chop in Washington. Jay was heading for Orlando, where he has a home.
And, ya gotta hand it to the guy, because despite JUST losing his job -- we're told he couldn't have been nicer to people who recognized him in the airport.
He even posed for pics and shook some hands before getting on the plane.