Whoever has the leftmost second card gets everything between their first and second cards.

After that point, whichever remaining person has the leftmost third card gets everything between their second and third cards.

After that point, whichever remaining person has the leftmost fourth card gets everything between their third and fourth cards.

And so forth.

I'm having a hard time explaining it concisely, but it should be pretty intuitive once you figure out what I'm babbling about.