2. Avoid chewing on the painful area. Until you can get rid of the tooth pain, you should chew on the other side of your mouth. 1  In addition to avoiding the hurt area of your mouth, cover any exposed holes responsible for causing the pain.ou may need to get professional dental treatment in order to get rid of the pain permanently, but in the meantime, there are plenty of first aid and alternative home treatments you can try to soothe the ache.