What's the best way to get rid of an extremely puffed up battery?​

If it is rechargable, there should be instructions on it, but I believe you can recycle it. For single use batteries, they need to be put into a safe location as they can actually explode sometimes, and acid leaks can also occur.

Normally, you can use put something like electrical tape or a nonconductive material on top of both of the battery nodes and you can just toss it into a trash can.  

Explanation:

do you have any options?