To clean stainless steel jewelry, start by wiping it with a soft cloth to remove loose dirt and dust. Then, prepare a solution of warm water and a few drops of mild dish soap, or use a specialized stainless steel jewelry cleaner according to BriteCo Insurance. Gently scrub the jewelry with a soft-bristled toothbrush, paying attention to crevices, and then rinse thoroughly with lukewarm water. Finally, dry the jewelry completely with a lint-free cloth. Never clean a stone with anything but a soft cloth.