You should be looking at the back of the controller. Using a mini Phillips screwdriver, unscrew all five screws. The back cover should now be easy to remove. If not, probably the latch on the center (between the sticks) needs some light push with a screwdriver.
There should be two wires, one black and one red, connecting the battery to the logic board. Carefully pull the wires from where they connect to the logic board via plastic socket. Lift the battery from the logic board. Underneath the battery you will see white plastic frames. These detach after removing the battery.
On one side of the controller, pull the number 2 trigger (the bigger one) from the controller. Pull out the number 1 trigger (the smaller one). Repeat for the other side.
The motors will now be free of the plastic case, but still attached to the metal frames and logic board. The motors are attached to the metal frames with adhesive. To remove the frame from the motor, carefully pull it off the motor. To remove the motors from the logic board, desolder the wires from the board.
To remove the logic board, unscrew the screw, before lifting the logic board out. When you lift the logic board out of the controller, the joysticks will be attached to the logic board.
To remove them, simply pull them out.
Underneath the white frame there should be a thin, green, plastic film. There should also be two additional white plastic frames that hold the buttons. Lift and remove both of these from the controller as well. You should now see the back side of the buttons. These can be easily removed by turning the front part of the controller upside down. Keep in mind that there are smaller black pieces that keeps the buttons in place. These are easily removable.