If you want the webview to scroll to the end after the download is complete, I find that I need to use pageDown (true) in onNewPicture. (I believe the event was fired when the view ended with drawing.)
So the code looks something like
webView.setPictureListener( new WebView.PictureListener() {
public void onNewPicture(WebView view, Picture picture) {
webView.pageDown(true);
}
}
pageDown ; - webView, , ! ( WebView javascript.)