Gúthi made for the Cross-roads of Ash to join his fellow dwarves and formulate a new plan to smash the presence of Ghâsh-hai in Flaming Deeps.
Gúthi went off to the Cross-roads of Ash to meet others to formulate a new plan to get rid of the Orc presence in Flaming Deeps. Go to the Cross-roads of Ash, which can be found to the north-west of Hurmulkezer and speak with Gúthi to hear the new plan.
The Cross-roads of Ash can be found by following the road west from Durin's Court. Gúthi's score-marks can be found along the way.
You should keep an eye out for Gúthi's score marks on the walls, which should help to guide you along the path to the Cross-roads of Ash.
Gúthi is at The Cross-roads of Ash, in the south-west quadrant of the Flaming Deeps.
You should speak with Gúthi.