Lay a staircase stringer onto a length of 1-by-12-inch lumber, which becomes one of your star skirts. Trace the slope at both ends of the stringer onto the skirt with a pencil. Cut the skirt along the pencil marks with a circular saw. The skirt is now the same length, has the same landing angle at the bottom and the same rim joist attachment angle at the top, as does the stringer. Repeat the process with a second skirt board for the stairs’ other side.
Hold the skirt board against the wall in the same position it will be mounted. Use a straight edge and pencil for marking the location of the baseboard molding at the stairs’ bottom end onto the skirt. Cut a notch along the pencil lines with a circular saw, so that the baseboard and skirt board fit snugly together once installed.
Attach the stringers to the rim joist at the staircase’s top end and to the kickboard at the bottom end. Place a skirt board alongside the stringer nearest the wall, so that the top and bottom ends are both perfectly flush with the stringer. Fasten the skirt board to the stringer with a hammer and nails. Drive one nail every 8 inches or so through the stringer into the skirt board.
Place the second skirt board alongside the outer edge of the stringer furthest from the wall. Driving nails through the skirt into the stringer fastens it in place.