A friend has a Samsung Note android tablet, which continually failed to install any apps from Play Store, with an error message like "...There is insufficient space on the device."
To fix (or workaround) the problem, go to Settings, Apps, find Google Play Service. Then, clear cache and uninstall updates. Now, try to install apps again from Play Store.
Sometimes, this only temporarily work around the problem. If you have a chance to install Clean Master, before the problem reappears again, Clean Master is able to reveal to you the actual cause of the problem. In the case of my friend's Samsung Note, it's really the lacking of user memory that causes the problem. It's actually a design problem!