This page explains how to complete the level 80 post-Shadowbringers quest "When the Dust Settles".
Requirements
This quest is available if you have completed the quest The Flames of War.
Starting the Quest
Talk to Alphinaud in Ul'dah to begin the quest. There will be a cutscene.
Speak with the Phronistery Chirurgeon
Go north to the gate icon on the map and talk to Nanahomi. Ride the lift to the Hustings Strip. Go east until you can go south to the Aethernet Shard, and use it to go to the Alchemists' Guild. Go to the quest icon and talk to the Phronistery Chirurgeon. There will be a cutscene.
Speak with Alphinaud
Talk to Alphinaud to proceed. There will be a cutscene.
Speak with Alisaie
Talk to Alisaie to proceed. There will be a cutscene.
Return to the Rising Stones
Teleport to Mor Dhona and go south to enter the Rising Stones. There will be a cutscene.
Speak with Tataru
Talk to Tataru to complete the quest.
Next Main Scenario Quest
After you complete the quest, talk to Alisaie to accept the next quest: The Company We Keep. There will be a cutscene.