Stainless steel is a durable, versatile material that is ideally suited for use where there are going to be extreme conditions - temperature shifts, moisture, and heavy use - like those found in the kitchen or other utility areas. Heavy use can also mean extreme amounts of dirt. Although ideally all stains would be treated promptly while they are fresh and relatively easy to remove, busy schedules and divided attentions don't always allow for this perfect scenario, resulting in caked on grime. Removing caked on grime is always a little bit of a challenge, but at least in the case of stainless steel, we have a robust surface to work with that will respond well to cleaning methods and materials. Testing all materials and processes in an inconspicuous spot prior to using them in a wider area is still recommended, to help ensure that you achieve desirable results.
Remove any extra objects and loose debris that may be cluttering up your stainless steel sink or surface. Thoroughly soak a cotton ball with rubbing alcohol. Place the cotton ball soaked with rubbing alcohol directly onto the caked on grime. Allow to sit for up to five minutes. Remove and discard the cotton ball. Next, dampen a clean sponge or non abrasive scrub pad with rubbing alcohol and scrub the affected area. Once the grime has been loosened and removed, address any remaining minimal residue with a regular overall cleansing by thoroughly wetting the area and using a standard cleaner like Bon Ami or Barkeeper's Friend.
Caution: Never mix cleaning agents or chemicals, the result can be dangerous or deadly. Before cleaning, always test the agent on an inconspicuous location to determine its suitability and to make certain it does not damage the material. Wear appropriate clothing such as gloves and protective eyewear, and work in a well-ventilated area. Accidental inhalation or ingestion of cleaning agents can be hazardous and even fatal, particularly to pets and children.