Small pieces get rinsed in the sink. These pieces get wrung out and I then flatten them on a towel. Roll the towel up and wring the towel. Most of the water comes out and they can be ironed dry.
Larger pieces go in the washer, cold water. I dry them in the hot dryer but take them out before they are crisp. Smooth and fold to make future ironing easier. No detergent, no softener, no dryer sheet (in case I want to applique).