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As to your question, a divorce that takes place during the I-751 process means you are not eligible for the joint I-751. If you intend to get divorced, you need to inform the USCIS and let them know that you are in the middle of a divorce and you no longer doing a joint application. They should tell you that your case is going to be held up inutil the divorce is finalized and then you will file for a waiver of the joint filing requirement, showing that you got married in good faith, but that now, your marriage ended in divorce.
If that waiver request is accepted, the case will be considered without the joint filing requirement and if approved, you will get the 10-year green card.
I know you probably want to know if you can just continue this and then get a divorce right after. My advice to that question would be not to do that. IF you get a divorce right after you are approved for the 10-year card, it will look like you filed a joint case when you never intended to remain married. That can be the basis for denial of your naturaization in the future and revocation of your green card.
So step 1 it to write a letter to the USCIS office where the I-751 is being processed. Inform them that recently, things have not been going well in the marriage, and that you have decided to file for divorce and will seek a waiver of the joint filing requirement. Ask for the case to be held in abeyance until such time that the divorce is finalized. Once it is finalized, send in a certified copy of the divorce decree and request that the I-751 be considered with the waiver of the joint filing requirement.
You should be proactive about this, instead of reactive. Otherwise, they might think you were trying to hide it to gain immigration benefits.
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