If you are legally married then you can get a divorce in the UK. You will need to seek the advice of a matrimonial solicitor who will be able to advise on the process. Depending on your income, you may be able to get legal help so your won't have to pay for your legal costs.
If you do not want him to be a dependent on your application anymore, it is a good idea to write to the Home Office and notify them of this so you will no longer be responsible for him. It is unlikely that they will remove him but at least this may release you from any potential responsibility for him.
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It depends on the specifics of the case but an average divorce with no disputes financial or otherwise can take from 3 to 6 months. It would be a good idea to take advice from a matrimonial solicitor as they will be able to advise you properly and deal with the divorce for you.
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