If you want to remove an Ashley Madison account, you can do that in the Settings page of your account.
I’ll show you below how I managed to close my profile using a desktop computer:
1 Log in to your account
by entering your Username (=not your email address!) and password on ashleymadison.com
2 Choose “Manage Profile” in the head menu
followed by “Delete profile” in the left menu
3 Hide profile from Search*
is the option we prefer in this example (Reason: it’s free, while the full removal would cost extra)
*Trick: If you don’t feel comfortable with the hide from Search, we consider you to remove all your personal details first (pictures, name, info,…). That way your profile cannot be recognized anymore.
4 Select a reason for removal
and click on the Permanently Hide button.
Your account has been permanently hidden from the system and your profile won’t be visible anymore.
I believe that this solution is better than the AM solution you have to pay for, but that’s my personal opinion.
Source screenshots (& thanks to): Ashleymadison.com