Go over the floor with a hammer and centerpunch, knocking down any raised nail heads that might tear the flooring screen.
Load a floor buffer with its medium refinishing screen. Start the machine and immediately begin going over the floor with it, moving it forward and back with the direction of the boards. It should take off most of the shine.
Vacuum thoroughly to pick up the dust.
Load the fine refinishing screen on the buffer. Screen the floor as before, removing the last of the gloss. Vacuum well.
Brush on polyurethane starting on the edge of the floor furthest from the entrance. Apply it in a thin, even coat, going with the direction of the boards. Continue across the whole floor. Let it dry for six hours.
Dull the dry gloss by hand with extra-fine sandpaper, sanding it just enough to take off the shine. Vacuum up the dust.
Apply a second coat of polyurethane in the same manner. Let it dry, hand-sand it, pick up the dust and apply a third coat. Let the final coat dry for 24 hours.