It is not possible to do a Full Farm SharePoint Installation without an Active Directory Controller. But in some cases you wish to install SharePoint in Farm Mode on a developer machine. Only in this installation mode it is possible to leverage an existing MS SQL Server for the new SharePoint Farm. Otherwise you have to do a complete installation with the Built-In DataBase. This means that you cannot use an existing MS SQL Server.
At first you can try to setup an AD on your local machine, but it is not recommended to install SharePoint directly on a Domain Controller. The second option is to setup a second machine as AD-Controller. But in this scenario you have to manage two servers :-(
The problem with the Farm Installation without an Active Directory occurred during the creation of the Sharepoint Configuration Database. If you try to do a SharePoint Farm installation without an AD User Account you will receive the following error message:
The specified user XXX is a local account. Local accounts should only be used in stand alone mode.

But in stand alone mode you cannot use an existing MS SQL Server
Workaround for this Issue (Please notice: This installation mode is only applicable for development environments!)
The setup Wizard is not able to create the SharePoint Configuration Database, but it is possible to create the necessary Database manually:
- Open a SharePoint Powershell Command prompt (run as admin)
- Type the command New-SPConfigurationDatabase
- Enter the necessary information

- After the SharePoint Configuration Database is created, start the SharePoint Installation Wizard (SharePoint 2013 Products Configuration Wizard)
- The Wizard detects now the new SharePoint Configuration Database:

- Click Next to start the setup ...
Issue: Some Ribbon Commands are disabled
It is not possible to create a new Web-Application or some other Ribbon Commands are disabled after the Installation, try to disable the User Access Control (UAC) and restart the server. More Information about UAC and how to disable UAC ...