That is Section 38 (Form is TM30) "NOTIFICATION FROM FOR HOUSE-MASTER, OWNER OR THE POSSESSOR OF THE RESIDENCE WHERE ALIEN HAS STAYED"
Most likely you go to the immigration office to submit the report, since only a few provinces allow the report at local police stations.
Or your landlord (or girlfriend) can do it online.
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About TM30 / Section 38, a great explanation is here
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(You may need to join the group if you're not in it already, but that post goes into great detail about the TM30 and includes a link to a video in Thai that explains it to landlords.)