I will have to do this at some point in the coming months 
I'm not far (flight is 1.5hrs) but how does it work in practice? Do you get "the call" then grab a bag then head to the airport and get some help from someone there to book you a flight? Or do you faff around looking at the airlines online? Can you even book online at such short notice? What if there are no late flights???
Then when you're blubbering your way through the airport, do you just try to hold it together and not think about it? Or do you tell someone? Is there someone who can help in such situations?
I'm a good traveller and fly regularly, but always planned at least a a few days in advance and without being heartbroken but I can't get my head around the logistics of this journey.