In such a case, you will be allowed to file Form I-751 alone, without needing to involve your abusive spouse in the process.
What's more, you don't need to wait to file this form. U.S. Citizenship and Immigration Services (USCIS, the immigration authority) will accept the I-751 petition at any time prior to your deportation (“removal”) from the U.S., whether your marriage has ended or not. (You will still be required to show that the qualifying marriage was entered into in good faith.)
Filing your I-751 early might help you get out of an abusive situation. Let's look closer at how to do this.
If your spouse abused you or your child at any time during your marriage, but before the 90-day period preceding your conditional resident card’s expiration date, you have the option to file Form I-751 “early.”
(By contrast, if he or she had abused you when you were dating but stopped as soon as you became married, then you would not be eligible for the abuse waiver.)
Before any such filing, take the time to build and gather supporting evidence. For example, it's good to write up a detailed account of your abuse and, if you have not already done so but believe you can proceed safely, get help from the police, the courts, medical personnel, licensed therapists, social workers, school officials, and/or clerics, if you are religious. These institutions and figures will provide you not only with the care and protection that you need but also with credible official records to document your case.
Evidence that you sought shelter for domestic violence victims could also make your claim more plausible. However, USCIS understands that victims of domestic abuse are not always in a position to take such concrete self-protective steps. So, if you are still living with your abuser, USCIS will not necessarily hold this against you. Likewise, if you are still married to your abuser, this should not suffice to deny your abuse waiver request.
For details on filing procedures, see Filling Out Form I-751 With a Waiver Based on Abuse or Battering.
If you chose instead to obtain a divorce (and even to marry someone else), rest assured that this will not automatically hurt your case; though it could cause USCIS to try to terminate your status early.
It also makes you eligible for a separate divorce waiver. This is an alternative process that will require only showing that your marriage was entered into in good faith. It will spare you the distress of revisiting and exposing the painful memories of your abuse.
But, though this option might on the surface seem preferable to the abuse waiver process, such a broad comparison would be misleading. In fact, obtaining an abuse waiver to remove the conditions on your residence would carry its own benefit, by speeding up your eligibility for naturalization. (See When VAWA Green Card Holders Can Apply for U.S. Citizenship.)
For details on how to prepare this filing, see Divorce and Your Conditional Residence Status: How to File a Divorce Waiver With Form I-751.