If you've also got some oily marks to get rid of, mix equal parts of distilled water and white vinegar or isopropyl alcohol for your cleaning solution, then follow these steps:
- Put the water (or water mix) into the spray bottle and spray it onto the cloth (Never on the screen!). The idea is to make it just slightly damp. Don't ever wipe the screen with a dry cloth.
- Wipe the screen with horizontal and vertical movements. If you find some area needs special treatment, go over it with circular movements.