Yes, you can claim spousal maintenance which supports yourself, and you can also claim child maintenance too.
If you disagree and cannot come to an agreement, you can ask the family court to assess a split of the finances. Assuming your ex eventually agrees to a settlement then you can have a consent order drawn up to bind the parties to the agreed terms.
The court will consider Section 25 of the Matrimonial Causes Act 1973 when it assesses a financial settlement. Therefore your ages, length of marriage, any children under 18, your earnings (if you work) and earning potential (same for your ex), the assets including the former matrimonial home and pensions if applicable, any debts, financial and non-financial contributions to the marriage, your standard of living enjoyed before the marriage breakdown, your financial needs in future and your housing needs, and so on.
The starting point is 50% for assets but if there is a disparity in earnings or you have paid more in the way of mortgage/rent, etc, you can ask for more than 50% of the former matrimonial home. It would be worth speaking with him to see if he would agree to any split.
If not then you would need to tick the box for a financial order when you come to issue the divorce petition.
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