The first step is to stop the bleeding by applying very slight pressure on the area with clean gauze. You can also try using a cold compress outside the mouth to alleviate the pain. The sharp edges of a broken tooth may hurt your tongue, so you might want to purchase dental wax from a pharmacy and apply it to the tooth. Pain may not always be present. However, the internal parts of the tooth are still at risk of decay if left unprotected. Consult an emergency dentist to determine how serious the problem is.