Will happen with the natural achievement progress as you need to play to reach Zone 10. The end of a Zone is signified by a red portal that you will walk through.
You will naturally do enough damage to reach Zone 5 without any real difficulty. You can open chests along the way to unlock new weapons or ways to enhance the weapon, but it isn't needed as you will do enough damager naturally.
You also can't die so leaving a plugged in controller and walking away will get this naturally even if you do nothing but... idle