Pull the drawer by the handle or handles out toward your body as far as you can. In some cases, you can simply pull the drawer off its track and all the way out of the dresser in this fashion. However, usually stops installed on the track will stop the drawer before this happens.
Grasp the front of the drawer firmly on either side. Give the drawer a firm tug, moving back with your body, to remove it from the stops. If pulling straight out doesn't work, try slanting the drawer upward as you pull.
Check the drawer for catches or latches. If the drawer doesn't come off its track with a firm tug, it may be secured by a catch or latch. Feel the rear of the drawer with your hands; latches are usually located near the rear of the drawer on either side. Once you've located the latch by touch, press the latch inward toward the drawer to release it. Try pulling the drawer off its tracks once more.
Spray the tracks with spray lubricant if you encounter a stubborn dresser drawer. Equip the spray with a straw nozzle, if it has one. Gently lift the draw upward off the track and spray the tracks secured to the dresser and the tracks on the drawer with a light coat of lubricant. Repeat the drawer removal process once the tracks have been lubricated.