Just go for jquery ajax;as it provides a simple and easy way to do ajax call
$(document).ready(function(){
$("#your_submit_button_id").click(function(){
$.ajax({
url:"Your url",
mType:"POST",
data:{var1:var1_data,var2:var2_data},
success:function(data){
$("#results").html(data);
}
});
});
});
#your_submit_button_id should be different for different buttons.In url section of ajax call specify the controller along with action name or else your requested file neme in server.