jQuery count checked checkbox in next element

Question

My sample is counting every single checkbox on a page. How to count the checked checkboxes on next/sibling element with jQuery?

PS: I want this to work on multiple forms on a single page without calling the element(form) ID.

$(document).ready(function() {
  function countChecked() {
    var tCount = $("input:checked").length;
      $(".totalchecked").text( tCount + ' selected');
  }
  countChecked();
  var tCheck = $(".totalchecked");
  $(tCheck).next().find(":checkbox").click(countChecked);
});

<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<div>form 1:
  <div class="totalchecked">0 selected</div>
  <div>
    <input type="checkbox" class="class" name="1">
    <input type="checkbox" class="class" name="2">
    <input type="checkbox" class="class" name="3">
  </div>
</div>
<div>form 2:
  <div class="totalchecked">0 selected</div>
  <div>
    <input type="checkbox" class="class" name="4">
    <input type="checkbox" class="class" name="5">
    <input type="checkbox" class="class" name="6">
  </div>
</div>

/* Update */
I want something like this.

Answer 1

Check this working sample:

function checkTotalCheckedBoxes(){
$("div" ).each(function( ) {
  if(this.children.length === 3){ 
  var checked = 0;
	$(this.children).each(function() {
        this.checked ? checked++ : null;      
        $("input[name="+this.name+"]").parent().siblings().closest('.totalchecked')[0].innerText = (checked) + " selected"; 

  	    });
  }
});
}

<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<div>form 1:
  <div class="totalchecked">0 selected</div>
  <div>
<input type="checkbox" class="class" name="1"  onclick="checkTotalCheckedBoxes()">
<input type="checkbox" class="class" name="2"  onclick="checkTotalCheckedBoxes()">
<input type="checkbox" class="class" name="3"  onclick="checkTotalCheckedBoxes()">
  </div>
</div>
<div>form 2:
  <div class="totalchecked">0 selected</div>
  <div>
<input type="checkbox" class="class" name="4"  onclick="checkTotalCheckedBoxes()">
<input type="checkbox" class="class" name="5"  onclick="checkTotalCheckedBoxes()">
<input type="checkbox" class="class" name="6"  onclick="checkTotalCheckedBoxes()">
  </div>
</div>