Measure the height and width of the wall area along and above your basement stairway. Record the height and width per each step so you're able to cut the drywall to fit along the corners of the stairway. Use a ladder with legs that adjust individually so you can safely measure the higher areas of the wall.
Transfer your measurements to the drywall with a T-square to help you draw lines for the corners that will fit along the stairs.
Score the drywall with a utility knife along the measurement lines. Snap the drywall at the scored edges.
Have someone help you hold the drywall sheet in place. Attach the sheet to the stud with a power screwdriver and drywall bit. Screw the drywall screws in approximately 1 foot apart along the length of the stud. Continue attaching drywall sheets until the wall is completely covered.
Mix drywall finishing compound per the manufacturer's directions. Smooth the finishing compound along the drywall seams and over the indentations created by the drywall screws with a drywall knife.
Apply drywall tape over the seams. Smooth the tape to ensure there are no wrinkles or bumps that can affect the finish.
Add a thin coat of finishing compound over the tape and smooth it out over the edges. Allow the drywall to dry completely before continuing.
Sand the dried finishing compound with fine-grit sandpaper to remove any visible lines or bumps.
Apply a primer and sealant combination to the drywall to even out the texture and prepare the surface for painting. Allow the primer and sealant combination to dry for 24 hours.
Add one coat of paint at a time to achieve the desired color. Allow the paint to dry for six to 12 hours between coats.