Below I leave the links to the 4 parts post from Chris Coulson that explains all the necessary steps to configuring forms based authentication (FBA) in SharePoint 2013.
The post is based on the Visigo’s SharePoint 2013 FBA Pack and you can get it from Codeplex.
Part 1 – Creating the Membership Database
Part 2 – Adding Users to the Membership Database
Part 3 – Editing the Web.Config Files
Part 4 – Configuring SharePoint
NOTE: You can do the step 3 with more ease using the FBA Configuration Manager.