The owner of each motorboat requiring numbering by this chapter shall file an application for a number with the department on forms approved by it. The application shall be signed by the owner of the motorboat and shall be accompanied by a fee of thirty dollars. Upon receipt of the application in approved form, the department shall enter the same upon the records of its office and issue to the applicant a certificate of number stating the number awarded to the motorboat and the name and address of the owner. The certificate of number shall be pocket size.