Bit like most others I guess. I give my brush a good rinse under the hot tap (hot enough to bare my hands under that is). Then give it a good couple of shakes followed by a 'foof' as Stubear put it. This usually gets it nicely dry. After that I just rest it on top of the soap dish of my shaving scuttle.
I always like to sniff my brushes after drying, I love the nice clean fresh smell of badger. Also it tells me if they've not been dried properly before.