Unplug the Kenmore dryer power cord. Remove the screws holding the rear access panel in place with the nut driver. Set the panel aside.
Disconnect the wire connectors leading to the heater assembly. The heater assembly is a narrow metal case inside the dryer cabinet.
Remove the screws connecting the assembly to the Kenmore dryer cabinet. Lift the assembly out through the rear access panel opening.
Place the new heater assembly inside the dryer cabinet. Install the screws that hold the assembly in place.
Plug the wire connectors into their sockets in the new heater assembly.
Replace the rear access panel. Install the screws that hold the panel in place.