Doing your laundry is really easy in the All you need is a lake or a stream and you basically have clothes for as long as you are out there. Clean ones to boot. Cleaning your clothes is as easy as shaking them in a bag, quite literally. Bring a really big zip lock bag with you on your trip as well as some special biodegradable washing powder.
Depending on how long you plan on staying out in the wild and where you will be, a proper shower might not be available