Get a $3 stainless steel wire brush that fits into your drill. It will be polished in seconds.
Sprinkle baking soda over the scorched area then drizzle vinegar on that, it will fizz up nicely. Give it 5 mins then scrub clean.
Primary: Beer, Beer
Bottled: Beer, Beer, Beer, Beer
Oven cleaner with lye in it (If the pot is stainless) - spray it on, let it set overnight if necessary - clean it off. Read the precautions on the bottle and use personal protective equipment.