"To submit the paperwork" means to hand in or send the necessary documents or forms to the appropriate authority or person for processing or review. Full definition
Responsible for the accuracy of submitted paperwork for draft distribution. (resumemycareer.com)
I simply submitted my paperwork online and had my reimbursement check within 10 days. (healthypawspetinsurance.com)
If you have given a gift recently or in this calendar year, and did not submit your paperwork you may still be able to ask your company to match it! (anticruelty.org)