You can use the methods we mentioned above: broadcasting it or using a sump hole. Gray water is purified water that has oil, food particles, soap, sometimes hair, and whatever else in it from washing your dishes. You can easily dispose of it in a sump hole using a small strainer to catch any of the larger particles of food scraps. Or if it is mostly just the water then you can broadcast it away from your camp where it will evaporate outdoors faster.