A popular way to do this is with an overlay. When your create your div popup, also create a <div id="overlay"> immediately beneath it that takes up the whole screen:
div#overlay{
position:fixed;
left:0;
right:0;
top:0;
bottom:0;
}
Optionally, you can use this overlay to darken all other content with, for example, background:#000 and opacity:0.5.
After you've crafted your JavaScript to add this overlay right beneath your popup, add a click listener to it. When the user clicks the overlay, you'll know that s/he has clicked outside of your popup.
Note that position:fixed doesn't work in older browsers. One workaround is, when the overlay is visible, to instead set the overlay to position:absolute, then temporarily add overflow:hidden to <body> to prevent the user from scrolling down.