Hello @Zichako
Nice to hear from you again!
Divorce and marriage are two separate procedures. After divorce you will still have to hand in all the required documents at Standesamt in order to marry again (passport, certificate of birth, certificate of no impediment and maybe some others). Providing nothing but the divorce certificate is not going to be sufficient because Standesamt has to check your identity and they need to find out if there are other reasons for which you might not be able to marry.
Best regards,
Thorgen