Record Nexus 10 screen
Your Nexus 10 should be able to upgrade to the newest Android 4.4 Kitkat any day now. It has a new option to record the screen, but you need to be/know someone who has basic knowledge about the Android SDK: http://developer.android.com/about/versions/kitkat.html#44-screen-recording

Since you did not accept an answer yet, hope this info still helps and I'm not necromancing your thread. ;)