Place masking tape on the floor boards surrounding the broken floor board. This protects the surrounding floor boards from damage when prying up the broken board.
Insert a 1/4-inch paddle bit into your drill. Drill two holes next to each other 2 inches from one end of the broken floorboard. Position the end of a wood chisel over the small space between the two holes. Tap the chisel with a hammer to cut through the board between the two holes.
Position a pry bar into the cut section of the broken floor board, and pry the board out of the floor. Remove the small portion left on the floor joist with the pry bar as well.
Hammer down any nails left in the joist from the removed floor board. Measure the length of the area for the new board with a tape measure.
Transfer the measurement to the new floor board and cut it with a hand saw. Fit the new floor board into the empty space. If necessary, sand down the edges with 220-grit sandpaper until the board fits snugly into the floor.
Drive spiral floor board nails into each end of the board and into the floor joist with a hammer, leaving the head of the nail slightly above the floor board surface.
Place a nail set over the head of the nail and tap the nail set with a hammer to drive the nail into the floor board, slightly countersinking the nail head. A nail set looks similar to a center punch.
Finish the new floor board with a matching stain, if you purchase an unstained replacement board.