I rinse my brush, facing down, under the cold tap to get most of the lather out, then swirl it around in a basin of very warm (not hot) water. The water is usually clear after the swirling so most of the lather has gone by then anyway. Then a few good shakes, and I run my hand over the top of the bristles, give another shake or two, and dry the brush on its stand on the windowsill.
I rinse my brush under the cold tap. Then I swirl the brush in a basin of very warm, but not hot, water. This clears most of the lather. Then a few good shakes.