It can take as much as 90 days. Call the judge's clerk and explain your desire to remarry. A nice clerk can sometimes expedite the handling.
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You can call the judge's clerk to see the status of your judgment, but usually these are processed in the order received, and the fact that's it's been 6 weeks doesn't sound like that long a time. So while you can ask for preferential processing because you actually have a reason for wanting the dissolution to be finalized, it may not be done.
Disclaimer: Please note that this answer does not constitute legal advice, and should not be relied on, since each state has different laws, each situation is fact specific, and it is impossible to evaluate a legal problem without a comprehensive consultation and review of all the facts and documents at issue. This answer does not create an attorney-client relationship.