If you were both in Florida and never actually got divorced then you are his legal spouse. Florida does not have legal separation. Therefore, you are entitled to inherit based on being his spouse. What you will inherit depends upon what assets/liabilities he held before he died.
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Florida law will govern the distribution of assets between spouses, when one of the spouses has passed away and there is no will. If you were only separated and not legally divorced, then you would be entitled to your share of his assets as his spouse. I recommend you initiate a probate, have the court determine whether there was a will and disburse your spousal share accordingly.
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I agree with Attorneys Trabin and Oughton, separated is not divorced. You are his spouse and have rights. You should hire an attorney now to pursue them, assuming your husband had assets.
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