Generally, you don't have to pay taxes on any gain or loss you have from the buyout. That's true even if the house is just one part of the bigger plan to divvy up your assets and debts — for example, if you get the house because you agreed to give your ex-spouse cash or to pay off the debt you both owe.
A buyout as a result of a divorce settlement is not taxable as this is a result of the division of the assets of the marriage and not a sale. If the property is sold and you are paid your portion from the sale of the property, then you do report it as a gain or loss.
@rarevalo
