An -ly test with an exclusion list
Adverbs are found by looking for words ending in "-ly" that are longer than three characters and are not on an exclusion list. That list exists because "-ly" is not a reliable adverb marker in English: "family", "supply", "reply", "early" and "jelly" all end in it without being adverbs. The list is short, so adjectives such as "friendly", "costly" and "likely" are still counted.
Strict mode adds one more rule: the part before "-ly" must be at least three letters long. That drops short words such as "only", "duly", "idly" and "rely" and nothing else; it does not check the stem against a dictionary of adjectives. The two modes usually differ by very little, so use the same one whenever you compare drafts.
What to do with the ones it finds
The useful ones to cut are the intensifiers propping up a weak verb: "walked slowly" wants "ambled", "said loudly" wants "shouted", "very quickly" wants "instantly". Replacing the pair with one precise verb is almost always an improvement, and that is the edit the tool is really pointing at.
The ones to keep are adverbs carrying information the verb cannot: "she deliberately misread it" means something different without "deliberately", and no verb replaces it. Sentence adverbs — "however", "consequently", "arguably" — are structural signposts and cutting them damages the argument.
A high count is a prompt to look, not a fault to fix. Fiction runs higher than technical writing and that is a genre difference, not a defect.