Sprinkle with a microfiber cleaning cloth. Use an ammonia-free electronic device cleaning wipe or lightly dampen a clean cloth with water and wipe it from top to bottom in an S shape. For many types of screens, non-ammonia window cleaner or isopropyl alcohol can do an excellent job of cleaning without damaging the screen. These can be a great alternative to commercial, sometimes expensive screen cleaners.
Always test in a small area to be sure. First you must vacuum and then blow to release more dust and end up vacuuming more. Do not vacuum hard, as this may loosen and damage parts of the device. Even though my countertops are absolutely clean and the floor is spotless, the electronics in my house are dirty and need to be cleaned.
Makeup sponges, which are soft but absorbent, can clean larger stains without letting the garment soak in the cleaning liquid, and a microfiber cloth can help with daily maintenance, such as dusting and polishing. In that case, you'll need to use a cleaning solvent, but use it with care, since most cleaning chemicals can damage electronic devices.