I agree.... this is not punishment. It is a tough row of life though. Please be sure to tell the judge that your spouse isn't providing for the kids or paying alimony (I assume, since you are so destitute.)
Try and keep an appreciative heart for being out of the abusive home, for the kids. You can live through anything with the right spirit, even when it seems impossible.
(((hug))) Make sure the local churches and organizations know you are needing, and with children.