If any registration card or registration decal is stolen, lost, mutilated, or illegible, the registered owner of the manufactured home, mobilehome, commercial coach, truck camper, or floating home for which it was issued, as shown by the records of the department, shall immediately make application for, and may, upon the applicant furnishing information satisfactory to the department and paying the required fees, obtain a duplicate, substitute, or new registration under a new registration number, as determined by the department.