Nokia Lumia :: Clean / Remove Skin Grease Stains?

I wonder if you know how one could clean the Lumia 800 or 900 from skin grease stains. As soon as you pick the phone up with your bare fingers, the normal skin grease leaves a mark on the phone and when you take a cloth to wipe it off it seems to be worked into the polycarbonate shell and leaves stains. In German I would say it looks "speckig".

That's why the wonderful looking nice matte finish of my Lumia was gone within 5 minutes of unpacking it. Is there a foolproof way to remove these stains? I think everybody will suffer more or less from it depending on the condition of your skin. It is probably very bad for women who have the habit of bathing their hands in skin cream every 20 minutes.

As Nokia is always imaging people using the Lumias without the rubber case as protection I wonder if they just ignore the issue (and expect the buyer to do the same) or if they have a method of getting rid of the grease stains I don't know.