Technically, there is no minimum debt required to file but it becomes less worthwhile if your debts are low. You should discuss your situation with a bankruptcy attorney to see if the costs are worth the benefits. You should also review what steps you can take to get your ex to pay his share. Did you sign a settlement or is there an order requiring him to pay his share of the marital debts?
For informational purposes only. Not legal advice.
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There is no minimum figure. Simply, if you have more than you can pay, then it is reasonable to look at the options. One option is bankruptcy. Yours is a common bankruptcy scenario.
My response is general information not intended as legal advice or to create an attorney-client relationship. Seek advice from a qualified attorney to see how the law fits your specific facts. I am licensed to practice law in Washington and Oregon.