Actions are louder than words
When seeking help, it is essential to assess the history of the person; does he know how to clean up after himself; I ask because my ex, did not know how; it was done for him, from his mother to a professional cleaning service; he did not have a clue how to accomplish simple tasks; I understood it more as my circle began to include men of similar backgrounds, they did not know how, it was never expected of them; therefore, they did not. I knew that nagging would not achieve my desired results; I introduced the art of housekeeping in a very sensual manner, we played adult games centered around housework; role-playing, I did not want him to be overwhelmed so I incorporated both of our interests. To keep it going, I would assign him chores to complete while I cleaned; he did not feel intimidated, when I asked him to clean the bathroom while I cleaned the stove and mopped the floor. He admitted that he did not have a problem helping me clean, as long as, we did it together... after awhile, he valued the art of housework.
My husband will not clean, unless, I am present. He will keep up the dishes without my presence simply because he desires my undivided attention.
Prayer, if you are a praying woman, will do wonders without fail. Simply make you petition known, leave it alone, expect to see a miracle and you shall.
You don't have to divorce him
If your'e serious then stop talking, arguing, pleading, pouting, and slaving. Get on the phone and get some professional help. There are housecleaning companies out there. Call one. You both work, you go to school and raise the kids. Get a housekeeper and tell him if he doesn't like it... pick up a mop, broom, or roll up his sleeves and help. Stand your ground. Some men don't listen or have these antiquated ideas that housework is woman's work... Whatever his issue don't let it become your issue... get some help and let him be mad if he needs to he'll get over it. I have observed that men somehow have a no nonsense approach to meeting their needs, I think that we women need to adopt some of that attitude. Trust me if the shoe were on the other foot, he would find a way of meeting his need and would not waste a lot of time arguing/talking/obsessing over it.
Stop trying to be superwoman and don't let him make you feel you should be.