You go to a special facility and we explain how this works. You don't want to be part of the social contract in which, for example, you'd get rescued if you get lost in the wilderness and would otherwise die - and in exchange we agree that we'll accept that you want out of the contract. You get a period of time to think about it properly and make sure you want to go through with this before you have to make a final decision. Maybe there's a piece of paper to sign, or you just make a solemn declaration to a recording device.
And then you're quietly euthenised and we incinerate the body. Because if you don't want to be part of the social contract then that's definitely the simplest way for us to handle it and you're clearly OK with that.