Soak the stainless steel in a sink filled with warm water and a few drops of dish soap. The detergent in the dish soap helps break up the glues in tape while also removing dirt that the glue attracts. Wipe the stains with a soft sponge and rinse the steel with water to remove any detergent residue.
Spray any tape stains with white vinegar and let the vinegar sit for several minutes. The acidity in the vinegar helps break up any remaining glue or stains from the tape and won't damage the metal. Wipe the vinegar away with a soft cloth, and any remaining stains should be taken away with it.
Apply a methyl ethyl ketone-based cleaner to the metal if tape stains are still a problem. These cleaners are highly corrosive, so wear protective gloves and follow all instructions on the packaging to prevent skin exposure and inhalation. The cleaner should dissolve any remaining stains on the steel.