IPA: /ɪɡˈzɔːstɪvli/
KK: /ɪɡˈzɔːstɪvli/
In a way that covers all possible details or aspects; completely and thoroughly.
The report examined the issue exhaustively, leaving no stone unturned.
Exhaustively → It is formed from "exhaust" (from Latin "exhaurire", meaning to draw out or drain) and the suffix "-ively" (meaning in a manner of). The word "exhaustively" means in a manner that completely draws out or covers all aspects.
Think of the word 'exhaust' as drawing out all the details completely, and the '-ively' shows how it's done — that's why exhaustively means covering everything.