Hey guys! So to unlock this achievement, all you need to is to enable the "Show All Notes" option in the Game Options and play a Puzzle on Easy difficulty. That way you can see all the possible numbers that you could write in the empty squares.
Doing this you eliminate the time wasted in thinking what number goes where and you just type. Look for the squares with only ONE number and type it. While you add new number every box is updated with the new possible numbers.
Here's a the recording on how I did it step by step and at the end you can see the achievement unlocking:
Hopefully this helps. Happy Gaming!