To get to Quemchi - Isla de Chiloé, you can take a flight from Santiago to Puerto Montt and from there, take a bus or rent a car to travel around the island.
Another option is to take a ferry from Puerto Montt to Chiloé and then travel by bus or in your own vehicle to Quemchi.
There are also buses that directly connect Santiago with Chiloé. Once on the island, you can find local transportation by buses and buses.
See places to visit in Quemchi - Isla de Chiloé
See also information on Puerto Montt.