1. Don't wash dishes
When we have little access to water, we don't actually wash our dishes. Instead we use a spray bottle filled with a little bit of water and Dr. Bronner's soap, spray the dirty dishes and then use a paper towel to wipe them off. This gets off most of the worst offending foods, but very greasy dishes will need to be washed. If we do need to wash dishes, we use just a cup of two of hot water and a soapy sponge to scrub up and then a few cups more of warm or hot water to rinse.
2. Cook foods that don't require water
While camping we don't make too much pasta, rice or other dishes that require water. We tend to grill meat or vegetables on the stove or over the fire, and make dishes that use very little water like couscous or instant mashed potatoes. We also use our grill multiple times without having to clean it.
3. One pot showers
I've already done a post on my minimalist camp shower. We used to set up elaborate showers with solar shower bags, but I've come to the conclusion that simple is better. I take a small metal cooking pot and fill it with about four cups of water, heat it until warm on the stove, and take it and another cup into the camp shower. I've found out that it takes about 1.5 cups of water to get wet and soap up and another 2-3 cups to wash off the soap and shampoo.
4. Drink beer
Drink enough water to keep yourself hydrated. After that, drink beer. :-)