Soaking is the key here. If you try to clean it off straight away, you will end up with sticky dough clogging your sponges and sink. Simply soak the dishes and utensils in cold water for a few hours (I usually leave them overnight), and in the morning the flour will gather at the bottom of the bowl rather than sticking to everything in sight. Result!
To clean wet dough off your hands, use cold water and a bit of body scrub or salt. It always keep some by the kitchen sink to make things quick and easy.