Thanks, her contribution and deposit would be taken in to account but that is only one factor the family court would consider. You should ask for 50% of the property however if you wanted the family court to get involved, the court will consider the factors contained within 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 and earning potential (same for your ex Wife), 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% 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 her to see if she would agree to any split without having to involve the court.
If nothing can be agreed then you would need to issue financial remedy proceedings - I note you are already divorced. Until a consent order is signed and approved by the court then either party can make a claim on the other for finances. It is therefore important to deal with a financial order in the near future.
Before you involve the court with the finances you need to contact a local mediator which is compulsory before you ask the court to intervene in the financial aspect. You can find a local mediator here :