Extend a tape measure to a length roughly equal to the estimated depth of the water in your well and coat the tape in carpenter's chalk. Insert the tape into the well until you feel resistance from the surface of the water.
Note the measurement at the top edge of the well casing and remove the tape. Compare the measurement at the point where the chalk is washed away to the first number to determine the surface depth.
Mount your oil skimmer unit over the well. The best method of doing this will vary depending on your situation. Screw the skimmer to a wall or other stable surface for an interior well, or employ a wooden post to a well that's outside. If the skimmer has a stand, you can simply set it on a level surface.
Adjust the length of the skimmer's belt so it will hang at least 2 inches below the surface of the water when you install it, using the measurements you found earlier. The steps necessary to do this will vary depending on the make and model of your skimmer. Consult the included documentation if necessary.
Lower the belt and tail pulley into the well. Connect the discharge tube to the included receptacle or an oil drum. Plug the skimmer into a power source and switch it on to remove oil from the surface of the water. Allow the skimmer to run until no more oil is flowing into the container.