In a public restroom, even if I only enter to find a tissue to blow my nose, or to use the mirror.. I do the following.
Turn on hot water (if its working)
Wet hands
Lather
Scrub hands whilst singing two verses of the birthday song (as is directed by the CDC); and sometimes I will add a long finish to the song with a long drown out --"....and many mooooooooooooooooorrrrre!" bit at the end.
Rinse thoroughly.
Dry with a towel if available.
Throw now semi wet towel away.
Obtain a fresh dry towel to turn off the water.
Open the door with the towel without touching it with my bare hands.
Throw towel away.
Most places are smart enough to know to place a garbage can near the door so I can easily throw the towel away after I've opened the door to exit. For those who are not, and don't, I toss the paper towel at the nearest garbage can. If it dosn't make it into the can and winds up on the floor, then so be it; I leave it there. You bastards should have placed the can where I could easily toss the paper towel away.
* Special note: In instances where their are no paper towels, I use my shirt to create a barrier between my hand and the spigot and my hand and the door handle. Or sometimes in a bust restroom, I'll leave the water running so some other poor sap can turn it off for the both of us when he is through.