Talk them through the story of your thought process!
Don't just talk about where you put the buttons etc- tell a story and take them along the journey (hate that word but couldn't think of a better one) you just went on.
Agree with @SteveCrow 's points about the wireframes. Not only does it go against the point but also runs the risk of being distracting. Showing people wireframes or visual designs too soon can lead to them fixating on visual details (like shapes and colours) and miss the value of the overall process.
You could show the wireframes AFTER you've told the story of your process if they really do need to see them. That could be a good compromise.