What Lies Below/Quick guide

Starting out

 * Talk to Rat Burgiss, between Varrock and Lumbridge

Helping Rat

 * Immediately West of the grand exchange is a camp. Kill 5 outlaws there
 * Take all 5 rat papers that they drop
 * Use the 5 papers on the folder
 * Talk to Rat

Surok Magis

 * Varrock palace library, talk to Surok Magis
 * Search the eastern bookcases in the library for the Dagon'hai history
 * Use any method to enter the chaos altar
 * Use the wand on the altar
 * Return to Surok Magis
 * Take the letter to Rat
 * Varrock staff shop, talk to Zaff
 * Talk to Surok Magis
 * Attack the King and select "Summon" on the ring when he is weak

Finishing up

 * Talk to Rat
 * Quest complete!