ATLANTA — In a further sign of the sprawling nature of the Justice Department’s effort to collect voting records in North Carolina, prosecutors demanded eight years of information from the state’s Division of Motor Vehicles, according to a copy of the subpoena obtained by The New York Times.

The newly disclosed order, along with subpoenas sent to the state’s elections board and counties, appears linked to a federal inquiry into illegal voting by noncitizens.

Under federal law, residents seeking to obtain or renew a driver’s license must be offered a chance to register to vote. The demand from the government seeks voter-registration forms submitted to the North Carolina D.M.V. by an array of applicants since 2010. The applicants include those who are foreign-born, said they were not citizens, did not produce a driver’s license as proof of identification, or displayed nonimmigrant visas or other documents “that reflect the applicant was not a United States citizen.”

The order also asks for applications completed in a language other than English, and for applications that had been revoked, denied, deemed fraudulent, incorrectly filed or “found to have other irregularities.”