By using “Blue Magic” metal polish we purchased at Farm & Fleet, we used a stainless steel cleaner such as Bar Keeper’s Friend and finished it with Blue Magic polish.  We used a scrubbie sponge such as Chore Boy on the rough side and got as much off as possible.  Then using a clean soft cotton cloth, we polished it by rubbing it in.  Voila!  Good as new!

By the way, the bottom picture is a reflection of taking the picture, not more burnt pan!