Open the door.
Measure the threshold and place a mark in the center of its length.
Set the blade of a saw on this mark and cut the threshold in half using a hand saw. Avoid cutting the flooring inside the door and the sub-sill beneath the threshold.
Unscrew all screws holding the threshold to the sub-sill with an electric screw gun.
Place a flathead chisel down in the groove between the back of the threshold and the inside flooring. Hit the chisel with a hammer to force the threshold to move outward. Lift the chisel and do this every inch along the groove between the inner flooring and the threshold.
Slide a pry bar beneath the threshold after the groove between the inner flooring and the threshold is wide enough to accommodate one. Strike the end of the pry bar with a hammer to help lift it up. Repeat this process until you can remove the two halves of the threshold.
Pull one half of the threshold out from under the door jam and then pull the other half out.