I have had good luck making a baking soda paste with a little water and just leaving it for an hour or so. It works remarkably well on anything scorched, and you won't have to ignore your computer while it's soaking. Baking soda is definitely the cheapest and least toxic way. I have used it on totally encrusted roasting pans as well as for mishaps like yours. I would not put full strength dishwasher detergent on anything because it's too caustic. Also, if you have a DH who tastes stuff he might find in a pan, better warn him.