Working for Doric
First begin the quest by speaking to Doric in his little house just north of Falador. Tell him that you would like to use his anvils. If you accept a quick job of getting Doric some materials he will let you use his anvils.
He needs you to bring him 6 clay, 4 copper, and 2 iron ore; he hands you a bronze pickaxe. Tell him that you will be right back with his supplies.
Head to the Dwarven mines and mine all the materials. You can alternatively purchase the ores from the Grand Exchange or other players.
Take the ores to Doric and...