Spray a streak-free glass cleaner lightly over the stainless steel surface with the water or fingerprint marks. Dry the cleaner off of the appliance by gently rubbing a paper towel over the surface.
Create a gentle cleaning solution by mixing warm water with a few drops of mild liquid dish washing soap in a bowl. Dip a soft cloth into the soapy water and rub it into the stainless steel to remove any marks that the glass cleaner didn't remove. Go over the surface with a clean cloth saturated with plain water to remove any soap residue. Dry the surface with a dry cloth.
Polish the mark- and fingerprint-free stainless steel appliance with mineral oil. Pour mineral oil into a spray bottle and mist it over the surface of the appliance as a preventative measure.
Buff the stainless steel surface with a microfiber cloth until it shines.