J.L.
I either use degreaser or lysol kitchen cleaner. I spray it on the spills then leave a wet paper towel over it (usually warm water). After a few minutes, or longer depending on how bad the spills, it comes off pretty easy. Plus if you don't want to use a brillow pad, but want something with some oomph try using grooved dish towel. Its stronger then sponges, paper towels, etc. Good Luck.