Measure the shower floor area with a tape measure. Cut the backerboard to these measurements. Cut the board by scoring it with a scoring tool and a drywall ruler, and then pulling upwards to snap the board.
Fit the board into the shower area. Check to ensure it extends all the way to the walls. If not, remeasure and recut the board to fit properly. Mark the location of the drain on the board by measuring its distance from each wall. Cut out this hole using a jig saw and a carbide blade.
Add a layer of thinset cement mortar to the subfloor with a trowel. Groove the mortar with a notched trowel by running the notched trowel over the wet mortar.
Lay the backerboard into place over the mortar and gently walk over the board to force it into the mortar.
Predrill holes in the backerboard with a drill and masonry bit along the edges and over the joists. Screw the boards into the subfloor with backerboard screws and a power screwdriver.