There are various tutorials and resources that explore and explain the PBR process far better than I ever could. Instead of trying to explain things myself, I thought it would be better for everyone if I just pointed to some excellent Physically-Based Rendering resources and let you have a go at it that way. 🙂
PBR Theory by Marmoset
This article covers some of the theory behind the PBR process.
Unreal Engine and PBR
The folks at Epic talk about a basic PBR workflow with Unreal Engine.
Unity PBS Breakdown
Unity uses what they call PBS or Physically-Based Shading, and this is a good read on their approach.
PBR Maya Workflow Video
This is a good breakdown showing the PBR workflow in Maya using Arnold.
PBR in Blender
Here is a look at using PBR maps in Blender
Maya PBR in Arnold
This breakdown of what is what in PBR is a good read by Autodesk.
PBR in 3ds Max
This even shows the textures on this site and how to use them. 🙂