White cloudy areas on bottom of new stainless steel skillet
Sprinkle the 'cleaned' dry pan with coarse salt - add any kind of inexpensive vinegar, just enough to wet the salt to a wet paste, scrub the pan with this paste with a paper towel for 30 seconds or so, using the salt as a mild "abrasive", while the vinegar dissolves the cloudiness.  Rinse with water and dry.  Voilá.  

This is simpler and cheaper than using any kind of kitchen cleanser, and no toxic residue.