After cleaning and drying the cut, you should apply a thin layer of petroleum jelly or an antibiotic ointment to keep the wound moist and help the healing process. Then, cover the cut with a clean bandage or sterile dressing to protect it from dirt and bacteria, prevent it from reopening, and promote faster healing. Change the bandage daily or sooner if it becomes wet or dirty. Avoid scratching or picking at the scab to prevent infection and scarring. Keep the wound clean and monitor for signs of infection, and seek medical attention if the wound is deep, bleeding heavily, or shows signs of infection.