Dampen a soft rag or sponge with club soda. Rub the dark spots with the rag or sponge, and apply more club soda as needed. Repeat this three or four times to remove the dark heat stains on stainless steel.
Wash the stainless steel with vinegar. Dilute it first with equal parts water, and then dip a rag in it. Liberally wash the stainless steel. Afterward, rinse with warm water or by wiping it with a moist rag.
Fill stainless steel cookware with water. For every quart of water, add 2 tablespoons of cream of tartar, and stir until it's dissolved. Bring the mixture to a boil, and let it simmer for 10 to 15 minutes. This gets rid of many of the dark spots and restores the shine on stainless steel.
Cut a lemon in eighths. Then, rub the stainless steel with the lemon piece, squeezing the juice out a bit in the process. Lemon can turn a dark and dull stainless steel object into a bright and shiny one.
Clean dark spots off with a special cleaner designed for stainless steel. Dab a little bit on a sponge or rag, and rub it onto the stainless steel according to the label instructions. If you see a grain in the stainless steel item, rub in the same direction as it. Afterward, buff the stainless steel with a dry rag. For cookware, utensils and other small items, wash them in hot, soapy water, and then rinse.