Can't you just install it on the new/other device?
Are you actually asking about your progress or saves? Those are more difficult - you could see if the game offers cloud sync, you could also try using an app such as Helium to back up the game and its data to copy to the new/replacement device.
If you need additional help or have more questions or details to share, please join the site so you can reply in this thread. See
this link for instructions on how to join Android Central.