Once the papers have been filed with the court, the question, How long does an uncontested divorce take? is completely out of the parties' hands. The amount of time it will take to finalize the divorce by having a judge approve and sign the judgment can take anywhere from six weeks to 12 months.nce the papers have been filed with the court, the question, How long does an uncontested divorce take? is completely out of the parties' hands. The amount of time it will take to finalize the divorce by having a judge approve and sign the judgment can take anywhere from six weeks to 12 months.