Step 4: Slide removal and cleaning.

Picture of Slide removal and cleaning.
Step 4: Pull the metal slide out of the joystick.  At this point, you can clean all the parts with isopropyl alcohol using Q-tips.  You can skip to step 9 for simplicity, or if you really want to clean it all, you can continue to step 5.  You may want to continue dissemble if the shaft tends to not center properly.