There are a few things you can do to clean stoneware dishes. First, use a dishwasher. This will clean the dishes and make them look new again. Second, use a plunger to suction onto the dish and push it all the way down into the water. This will cause the water to flow out from under the dish and make it easy to clean. Finally, use a vacuum cleaner with its hose to suck all of the dirt and debris out of the dish.