If you want to remove a friend from Facebook here are some simple steps that help you do that. Logon to your Facebook account, select Account -> Edit friends.
When you do, this will show you the list of friends that you have added in your Facebook account. Just mouse over the details of the name that you want to remove, you will see the x button. Click that, you will be asked for the confirmation message whether to be removed. Confirm that to remove the friend from your Facebook.