Remove the door hinges from the door frame by removing the screws that secure the hinges to the frame with a screwdriver.
Find a wooden dowel that matches the diameter of the screw holes within the door frame.
Apply wood glue to the end of the dowel.
Insert the tip of the dowel that is covered with glue into the screw hole. Then lightly tap the dowel into the frame.
Cut away the excess portion of the dowel with a utility knife. The goal here is to trim the excess dowel until the remaining portion is flush with the door frame.
Drill a small hole into the center of the dowel to accommodate the hinge screw.
Position the door hinges against the frame and tighten the hinge screws into the dowel.