try this instead...
<?php $count=1; ?>
<?php do { ?>
<?php if($count==1) { ?>
<div>
<ul>
<?php } ?>
<li><?php echo $row_rsname['column']; ?></li>
<?php $count ++; ?>
<?php if($count==6) { ?>
</ul>
</div>
<?php $count=1; ?>
<?php } ?>
<?php } while ($row_rsname = mysql_fetch_assoc($rsname)); ?>