Quit outs do not count for this achievement.
The quickest way to get this boosting is:
If you are the one winning, move the pawn in front of your king forward. Next turn move your queen all the way diagonally to checkmate the enemy king. Make sure that the player losing has moved both his pawns out of the wy though or else it will just be check.
If you are the one losing, move the pawn infront of your bishop that is next to your king forward. Next turn move the pawn infront of your horse forward twice.http://i199.photobucket.com/albums/aa33/Wbisbill/foolsm....gif
Here is a picture showing what it should end up looking like.