This is a story related achievement which will unlock with natural story progression.
The puzzle looks confusing at first, though it is quite simple. You need to match the number at the top of the metal box, you can move the metal surround with the number around the box. If the top number is 6, when you will need to match it by selecting several tiles which will result in a number which ends in 6. So 16, 26, 36 and so on.
You can do this puzzle quickly by click on all the squares until the combination is complete. You can't make any mistakes but it's easy enough to work out. The video below will show you both techniques.