Each Area in the game is broken up into a number of Stages. You complete Stages by earning points in Battle. Once enough points have been gained, you will then move on to the next Stage.
As you progress through each Area, you will be given opportunities to gain additional Gold and Gems.
After you have completed all Stages in an Area, you have the chance to Battle against the Dark Demon. Defeating the Dark Demon completes the Area, allowing you to continue to the next.