Basement door rusty hinges

Go stainless for no more rust.

http://www.bosunsupplies.com/Stainless-Steel-Hinges/

I know that WD40 is not the best rust remover or lubricant, but keep in mind that the OP stated the stains are running down his painted door. I would be very careful what I sprayed on the hinge that could run onto the paint when he's doing it or later as it dripped.

I work on Ford Model T's so I am very used to dealing with rust. The best penetrating oil that we in the Model T world have found is a 50/50 mix of acetone and transmission fluid mixed in an oil can and applied to the rusted area. Any penetrating oil requires patience as none work instantly. Spray some on, wait a day then spray some more then try to move the rusted part. usually with the 50/50 mix, the parts break loose quickly.

Use a penetrating spray, and not wd40, you want a lube that will not attract dirt and grime.Do this two times a year and you won't be disappointed .

Get some WD40 or other lubricant with a spray tube and force it up into the hinges.