Probate is simply a court process of paying your debts and distributing your remaining assets at the time of your death to the correct beneficiaries. The court distributes your assets according to the terms of your Will. If you do not have a Will, the court distributes your assets according to the laws of intestate succession.
In either case, your executor or administrator, as the case may be, first assembles your assets. Next, the executor pays the costs of the probate, taxes, and your debts. If there are not enough assets to pay the costs of probate, taxes and debts then the assets will be prorated based on a schedule established by the Ohio Revised Code.