can you grab screen shot of the mesh as I am having trouble visualizing why this would be such an ordeal.
You have a single 2048x2048 plane (with no divisions in width or height) and you simply want to divide it evenly in each dimension by 16?
If it has divisions and has been manipulated in the y-axis then you are kind of screwed as you cannot evenly distributed the edges without changes the shape.
I need to see what you are trying to do to be able to help.
"If I have seen further it is by standing on the shoulders of giants." Sir Isaac Newton, 1675