Move the Maytag LDG8604AAE dryer away from the wall and unplug the power cord from the wall outlet.
Remove the two screws from the bottom of the front panel, using a Phillips screwdriver.
Lift up the front panel. Detach the wire connector from the door switch by pulling out the wire with your hand.
Remove the front panel from the dryer. Locate the thermostat cover next to the blower assembly on the bottom front of the dryer.
Remove the screws from the thermostat cover. Detach the wires connected to the thermostat, using needle-nose pliers.
Remove the screws from the mounting plate holding the thermostat to the blower assembly.
Lift up and remove the thermostat. Insert the new thermostat part into the same position on the mounting plate.
Reinsert the screws into the mounting plate, then reconnect the wires to the thermostat.
Place the thermostat cover back on and secure it with the screws. Slide the front panel back on half way.
Reconnect the wire connector to the door switch, then place the front panel all the way on.
Reinsert the screws in the front panel, then reconnect the power supply to the wall outlet.