This depends on what your LLC operating agreement states. Usually admitting a new member requires some consent by other members, but again this should be covered in the operating agreement.
This answer should not be construed as creating an attorney-client relationship, and is for informational purposes only.
As my colleague noted, your LLC's Operating Agreement should spell out how a member's shares can be transferred. Also, depending on whether your ex was your ex when you acquired the shares when the LLC was formed, your ex may already have a claim to those shares, which may have been addressed in your divorce judgement.
See a business lawyer, and/or the lawyer that helped you with the divorce, for help.
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You need to refer to the terms of your LLC operating agreent. If you are making this transfer to limit or avoid liability to a third party, the transfer must also satisfy the New York Debtor/Creditor Law.
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