I have been an 07/02 for 15 years. This is how I have done it and been inspected multiple times with no problems. My bound books are kept in the consolidated format as required by ATF in ruling 2016-1.
Make, model, serial no., type (receiver) caliber (none or what is stamped on the receiver if marked), date received, name/address or name/license no.
Then book it out to yourself, i.e., date, name on license and license number.
Next line, make, model, serial no., type (rilfe) caliber (.308), date manufactured, your license name & license number.
If transferring to another licensee book it out name & license no. or on a 4473 complete the form, file, and book out name & address.