When you pick off dry scales, it can result in the appearance of dots of blood. This is called pinpoint bleeding. To prevent it, you should first soften the dead skin with moisture before you pick it. Apply a heavy ointment or oil, such as vitamin E. Then cover the area with plastic wrap for a few hours or overnight.
Once the skin is loose, use a clean fingernail or tweezers to gently push away the scale. It should slide off easily. Don’t force it. Too much pressure can cause pain and bleeding.