How to get the Hookshot in Ocarina of Time

Getting the Hookshot in The Legend of Zelda: Ocarina of Time remake is the first and most important thing you do after opening the Door of Time. The Hookshot is essential for reaching the Forest Temple and solving other mandatory puzzles, not to mention reaching harder-to-find collectibles, but the game is quite vague about where to find it. It points you to Kakariko Village, though depending on how thoroughly you investigate, you might miss some of the contextual clues entirely.