Handwash in lukewarm with Woolite (protects the colors, etc) and yeah, dunk it. Getting dry is the hard part. Forced warm air drying is better to get the innards dry. (hair dryer, room heater with fan ... the best is an old-style hair drying helmet but they're about impossible to find now)
edit: I was wrong, apparently they're still on the market:
http://www1.macys.com/shop/product/l...FQmCQgodX3sAyA