var a=new Draggable(newElement,{
                        handle: 'drag-'+rand,
                        starteffect: function() {
	                        $('contents-'+rand).hide();
                        },
                        endeffect : function () {
							$('contents-'+rand).show();
                        },
                        onEnd: function(element,event) {

                            var $viewport=document.viewport;
                            var rightpos=Math.floor((parseFloat($('container-'+rand).getStyle('left')) + parseFloat($('container-'+rand).getStyle('width')))+2); // plus 2 adds for the borders
                        if( rightpos >=$viewport.getWidth() )
                            {
                            	var newLeft=Math.floor(( $viewport.getWidth()-$('container-'+rand).getWidth() ));
                            	$('container-'+rand).setStyle({'left': newLeft+'px'});
                            }
                            if(parseFloat($('container-'+rand).getStyle('left')) < 0)
                                {
                                    $('container-'+rand).setStyle({'left': '0px'});
                                }
                            if(parseFloat($('container-'+rand).getStyle('top')) < 0)
                                {
                                    $('container-'+rand).setStyle({'top': '0px'});
                                }
                            // bottom
                            var allowedContainment=Math.floor(($viewport.getHeight() - $('taskbar').getHeight() ));
                            var bottomPos=$('container-'+rand).getHeight() + parseFloat($('container-'+rand).getStyle('top'));
                            if(bottomPos >=allowedContainment) {
                                var newTop=(allowedContainment-$('container-'+rand).getHeight());
                                $('container-'+rand).setStyle({'top' : newTop+'px'});

                            }


												},// end onEnd
												onDrag : function() {

													if($('suggestiveResults-'+rand)) {

															$('suggestiveResults-'+rand).remove();
													}
												}


        });

Where container-+rand is the element you want it contained in....

You can forget the onDrag: as its just to remove some suggestive search boxes i insert!