You could dampen the cloth a bit more and give it a little elbow grease, but be sure not to get liquid inside the case
You do not want the sponge to drip water in to the laptop because it may damage the computer. Lightly wipe the sponge over the laptop's cover. Do not use the sponge under the cover as it may damage the computer. Wipe off the laptop's cover with a soft lint-free cloth to remove any excess moisture. If you choose to clean the leather, first remove the cover/case from your iPad. Use a clean cloth with warm water and mild hand soap to gently clean the leather. Wipe the outside and the inside with a soft, lint-free cloth to remove any dirt. You can also use a mild cleaner along with a dry clean cloth. To clean the Home button (allowing Touch ID to work optimally), wipe it with a soft lint-free cloth. iPhone 5c. Clean iPhone immediately if it comes into contact with contaminants that might cause stains, such as ink, dyes, makeup, dirt, food, oils, and lotions. To clean iPhone, unplug all cables and turn it off. Mix a 50/50 solution of distilled water and isopropyl alcohol in a spray bottle. Alternatively, use a 50/50 solution of distilled water and vinegar. Avoid using tap water or harsh cleaning solutions, such as ammonia-based cleaners, ethyl alcohol or acetone. Step 4. Spray the solution onto a clean, 100 percent cotton cloth until the cloth is moist. Avoid using paper towels, tissues or polyester that can scratch the screen. Don't spray the solution directly on the screen. Dust, fingerprints, and smudges are all attracted to a laptop screen, so get a better view with a cleaner screen. Step 1: Read computer manual. Read your computer's manual for cleaning product restrictions before you clean your screen. Step 2: Wipe the screen. Turn off your monitor. Wipe the screen softly with a dry cotton ball or dry cotton cloth to remove any dust. Step 3: Mix solution. Mix a solution of 50 percent distilled water with 50 percent isopropyl alcohol in a spray bottle. Tip. You can also use 50 percent vinegar and a 50 percent distilled water solution How to clean a PC or laptop. As well as the PC tower, you should also clean your mouse, keyboard and monitor on a regular basis. The PC's main enemy is dust, and fans quickly become covered in dirt and fluff if you have your PC under your desk. You can clean the outside of your PC using a damp cloth. If you want to try a detergent such as washing up liquid, or an anti-bacterial cleaner, test on a small area first to make sure it won't damage metal or plastic. To remove dust any ports at the front or back, use the compressed air rather than a brush. Step 1. Turn off the laptop, so the screen is black which makes fingerprints and dust particles more obvious. Step 2. Spray the screen with canned air to remove any loose particles that could scratch the screen when you wipe it. Step 4. Spray the solution onto a clean, 100 percent cotton cloth until the cloth is moist. Avoid using paper towels, tissues or polyester that can scratch the screen. Don't spray the solution directly on Dust, fingerprints, and smudges are all attracted to a laptop. So get a better looking screen and keyboard. Get that coffee and coke off your computer laptop quickly. Extract from video: Dilute isopropyl alcohol (rubbing alcohol) into a mix with no more than 10% alcohol and the rest 90% tap or distilled water. How to clean your computer laptop fast in 3 minutes or less. Clean a computer for free. In this tutorial I will show you how to get a better looking laptop case, screen and keyboard within minutes. How to clean your computer for free is easy to do and only takes a few minutes. Matt Elliott/CNET. After removing any dust from your screen with a dry cloth, dip the other cloth in your dish soap solution, wring it out, and gently wipe your display. Next, rinse out your soapy cloth, wring it out again, and wipe your display to remove any soap residue.  Cleaning the Exterior, Screen, and Keyboard. Every three months or so, you should clean off the dirt, dust, fingerprints, residue, food particles, and other detritus that your laptop has accumulated during its travels. Start with the LCD screen and the touchpad (if your laptop has one), since they are the most sensitive areas of your laptop's chassis. Lightly dampen the lint-free cloth with your homebrewed or store-bought cleaning solution, and gently wipe the screen and touchpad. For the remainder of the laptop, you could dampen the cloth a bit more and give it a little elbow grease, but be sure not to get liquid inside the case
http://www.ehow.com/how_6948402_clean-laptop-cover.html https://support.apple.com/en-us/HT204172 http://smallbusiness.chron.com/clean-fingerprints-off-laptop-screen-70336.html http://www.youtube.com/watch?v=8pj9SCgTkh8 http://www.pcadvisor.co.uk/how-to/laptop/how-clean-your-pc-gadgets-3469333/ http://smallbusiness.chron.com/clean-fingerprints-off-laptop-screen-70336.html http://www.youtube.com/watch?v=bhA_Tu3ET9g http://www.cnet.com/how-to/how-to-clean-your-monitor-or-tv-screen/ http://www.pcworld.com/article/260438/zen_and_the_art_of_laptop_maintenance.html
how to clean fingerprints off your laptop case