Looks like what you need is a two way binding with the ng-model directive. So the idea would be that you bind the new div to a variable in your scope which is initially in an empty or undefined state (for example, there are better ways). When the hyperlink is clicked it calls the function specified by an ng-click directive which will fill your bound object, which in turn will cause the new div to be rendered.
EDIT:
Based on your comments here is a simple example.
HTML page:
<div id="newDiv" ng-repeat="item in items">
<!-- Div content -->
<!-- example -->
<input type="text" ng-model="item.name">
</div>
<input type="button" ng-click="addItem()">
Controller:
$scope.items=[];
$scope.addItem = function() {
var newItem = {};
newItem.name = "new item name";
$scope.items.push(newItem);
}
What's happening here is the data for each div is stored in an array of objects. The ng-repeat directive will repeat the div for each object in the array. You can then fill the elements in the div using the object. Adding a new div is as simple as adding a new item to the array and angular will take care of the rest for you. Please note that I have not tested this example, but hopefully it's enough to point you in the right direction.
RE aligning the divs horizontally, this will be done with CSS, using the inline-block display mode. So you could give the div a class of, for example, "horizontalDiv" and add the following class to your CSS file:
.horizontalDiv {
display: inline-block;
}