Episode 177
After failing to capture Pikachu, Jessie, James, and Meowth go their separate ways. Butch and Cassidy also split which leads to Jessie teaming up with Butch and James with Cassidy. Both teams then try to prove who is better by capturing Pikachu and Pokémon that trainers are using in a fake battle tournament set up by them.
Aired 11/05/2006EP 177 - Episode 177

Pokémon the Series: Ruby and Sapphire
After participating in the Johto League, Ash decides to begin anew in yet another journey; this time by himself and Pikachu, in the land of Hoenn. Though he isn't alone for long, as 10-year-old May (who dislikes Pokemon, but just wants to come along to see the world) travels with him after Pikachu destroys her bicycle. Ash also meets up with his old companion, Brock, and May's younger brother, Max. Together, they travel along in Hoenn, battling Gym Leaders, entering Contests, and other events on the way to the Hoenn League.
(Source: Anime News Network)