Get a "Save As" dialog to save a part of a webpage?

Get a "Save As" dialog to save a part of a webpage?

Before I experiment, I need to know if this is even possible .

Let's say I have a webpage with a hidden DIV that's styled with Bootstrap. And let's say when a user clicks a hyperlink that the hidden DIV displays. Let's refer to the hidden DIV as "printMe".

Now, Inside the hidden div is some content, and a button that says "Save/Print".

When the user clicks this button, I'd like to be presented with a "Save As" dialog, but just for the "printMe" DIV.

Is this even possible? And if so, could I hide the "Save As" button when I actually print?