Unplug the drill battery charger from the wall socket. Also remove the slide on battery from the drill.
Use a screwdriver to take apart the drill casing or the drill battery charging base. The location of the LED light will depend upon your specific brand of drill.
Plug the soldering iron in, allow it to heat up and then touch the tip to the LED connectors on the circuit board.
Pull the LED out with a pair of tweezers once the solder connections have softened.
Re-assemble the drill or drill charging base with the screwdriver.