Stairs with landings are very common in residential homes. Landing Platforms are used in areas of a stairway where the staircase changes direction. Changing the direction of the stairs allows stairs to fit where they would not otherwise, or provides privacy to the upper level as visitors downstairs cannot simply look up the stairs to the upper level due to the change in direction. A landing can be located anywhere within the stairway.
Hardwood floor will always be the best way to cover stair landings.