code doesnt work

code doesnt work

Pls help...

I have HTML
<div id="somegroup">
<div id="step1">Step 1</div>
<div id="step2">Step 2</div>
</div>

I have code (add div):
$('#somegroup').append('<div class=\"choosen\" id=\"step3\">Step 3</div>');
and it works correctly.

But this:
$( "#somegroup div" ).click(function() {  
    $('#somegroup div').removeClass('choosen');
    $(this).addClass('choosen');
});
works for step1, step2 but not for step3.

I need change class "choosen"

Thank you very much for help.