Turn off the circuit breaker controlling the electrical circuit the Leviton 5613-W operates.
Pull out the ends of the two wire sets in the 5613-W switch's electrical box. One wire set contains two insulated wires and the other wire set has three insulated wires. Both wire sets also contain an uninsulated wire.
Remove 3/8 inch of the insulation from the end of each wire in the 5613-W's electrical box, using wire strippers. Keep the ends of the wires straight.
Loosen the electrical box's green screw, using the correct screwdriver. Wrap both uninsulated wires around the electrical box's green screw. Tighten the green screw with the screwdriver.
Combine the white wire from both wire sets in the electrical box. Twist a wire nut over the ends of the white wires. The white-colored wires act as the load circuit's neutral connection.
Push the end of the black wire in the wire set with two insulated wire strands into the 5613-W wire terminal with the "Common" label printed next to it. A Leviton 5613-W uses push-in wire slides, located on the back of the switch's housing, as its wire terminals.
Slide the end of the red-colored wire from the wire set with three insulated wire strands into either of the 5613-W's remaining push-in wire terminals.
Slip the end of the black-colored wire from the wire set with three insulated wire strands into the last 5613-W push-in wire terminal.
Hold the Leviton 5613-W against its electrical box. Align the switch's mounting screws, found on the switch's mounting brackets, with the electrical box's screw holes. Tighten the mounting screws with a Phillips screwdriver.
Position the Levitron 5613-W's cover plate over the switch. Tighten the cover plate's screws with a slotted screwdriver.