Android 3.0 and higher have support for overflow:scroll, on < 3.0 it’s another story. You might have some success with polyfills like iScroll, however that does come at a cost. It’s difficult to implement on sites with complex layouts, and you need to a call a method everytime the content on your site changes. Memory use is also an issue: on already underpowered devices performance may lag because of these kinds of polyfills.
I would recommend a different approach: use Modernizr to detect support for overflow scrolling , add a class to your html tag and use that to rewrite your CSS so that pages scroll ‘normally’ instead of in a box.
/* For browsers that support overflow scrolling */
#div {
height: 400px;
overflow: auto;
}
/* And for browsers that don't */
html.no-overflowscrolling #div {
height: auto;
}