Pagination is a common subject and this can be solved by either adding logic to the PHP/MySQL, adding logic to the Javascript/jQuery, or a combination of the two. I'm sure there are several reasons dependent on situation and what is trying to be achieved so I will just present a simplified version of a possible Javascript/jQuery solution without plugins. I'm sure there are several jQuery plugins for pagination out there as well.
I would start by adding identifiers to your div so we can get a good selector with jQuery for your divs.
<div class="channel_block">...</div>
This would allow us to select all of these elements and preform a slice operation to obtain our desired div elements
$channels = $(".channel_block").slice(start, start+limit);
This should be enough information to handle the information set that you are looking for and the rest can be modified based on the stylization that you are looking for. In my example I simply added a hiding class to all of the irrelevant channel_blocks and removed that class from our relevant set.
I attached a fiddle that elaborates on this example. The important function being the T.showSet()
http://jsfiddle.net/B86w9/1/