What You'll Need
Kitchen cleaner OR hot soapy water
Paper towel OR soft rag
Wash the sink thoroughly: Clean the sink with a spray kitchen cleaner or hot soapy water. (See our tips here for cleaning stainless steel with vinegar, too.)
Dry the sink: Buff the sink dry with a clean towel. Do not skip this step! It sounds silly, but any water left in your sink will instantly turn the flour into goo and things will not end well. Don't forget the sides of the sink and the top of the drain.
Sprinkle the sink with flour: Sprinkle your sink with a thick dusting of flour. (Yes, this will feel intrinsically wrong. You can do half the sink at a time if you feel extra uneasy about it!)
Buff the flour: Using a paper towel or soft cloth, buff the flour into the sink like you are waxing a car. Keep buffing and don't forget the drain, rim around the top of the sink, handles, knobs, and little grooves where dirt likes to hide. You'll see bits of food start to disappear and things begin to get shiny.
Forbid anyone from using it: Just kidding!
In my own home, I use this trick once a month. The flour buffs the micro-grooves in the sink's surface and also pulls out residual dirt and grime that your basic sponge and soap can't get to.