I heard about this a few days ago, and thought it was an awesome idea.
What you need:
a Rubbermaid tote with a lid (or a 5/6 gallon bucket with lid)
toilet plunger with red rubber suction cup on end
laundry soap
water
dirty clothes
Cut a hole in the top of the lid big enough for the wooden handle of the plunger to go through. A friend of mine suggested also drilling a few holes in the rubber part of the plunger to make the washing more efficient (haven’t tried this yet though). Add water, detergent, and clothes. “Plunge” the handle around 200 times (you don’t have to do this at a fast pace, and could even sit in a chair and plunge away!). Rinse the clothes, wring, and hang on a clothes line.
Be sure to stock up on extra clothes pins and clothes line. Also, something to use as a wringer (such as a mop bucket with wringer attached) would be helpful.