How did Gulliver land in Lilliput?

Gulliver's ship hits a rock and is split. Six of the crew members, including Gulliver, get into a small boat and row until they are overturned by a "sudden Flurry." Gulliver swims until he is nearly exhausted, at which point he finds an island, comes across a patch of grass, and sleeps for what he estimates is more than nine hours.

When Gulliver awakens, he is lying on his back. He finds himself unable to sit up or move at all. His "Arms and Legs were strongly fastened on each side to the Ground; and [his] Hair, which was long and thick, tied down in the same manner." He feels something moving along his body almost up to his chin, at which point he sees that it is "a human Creature not six Inches high, with a Bow and Arrow in his Hands, and a Quiver at his Back." Gulliver will later learn that these creatures are called Lilliputians.