When you clean your cast iron skillet, you can use a mild dish soap. Then, use a scouring pad or a cleaning brush that is cast iron friendly. Wash the pan, scrub the food bits off, rinse it, and then wipe it with a cloth to make sure it is dry. Finally, add a few more drops of oil and smooth out the layer with a paper towel to protect the cast iron skillet. If you have food pieces that are burnt into the skillet, you can use steel wool to remove them.