Fetching details from the dictionary...

to turn over; to turn (pages); to leaf through (a book, etc.)
to tear off; to strip off; to take off; to pull off (e.g. a blanket); to pull up (e.g. floorboards); to tear up
「捲る」 has another reading with different meanings.
本のページを一枚ずつ捲った。
I turned the pages of the book one by one.
カレンダーを捲って日付を確認した。
I turned the calendar and checked the date.
雑誌を捲りながら写真を探している。
I am looking for photos while flipping through the magazine.