1 British English
to make a formal or official complaint, protest etc
lodge a complaint/protest/appeal etc with
He lodged an appeal with the High Court.
lodge a complaint/protest/appeal etc against
They lodged a complaint against the doctor for negligence.
to become firmly stuck somewhere, or to make something become stuck [≠ dislodge]
become stuck[intransitive always + adverb/preposition, transitive usually passive]
The fishbone lodged in her throat.
be lodged in/between/behind etc something
The bullet was lodged in his spine.
to provide someone with a place to stay for a short time:
put somebody somewhere[transitive]
a building used to lodge prisoners of war
lodge somebody in/at something
The refugees were lodged in old army barracks.
to put something important in an official place so that it is safe
put something somewhere[transitive] British English formal
lodge something with somebody
Be sure to lodge a copy of the contract with your solicitor.
lodge something in something
The money was lodged in a Swiss bank account.
to pay to live in a room in someone's house
stay somewhere[intransitive always + adverb/preposition] old-fashioned
lodge at/with etc
John lodged with a family in Bristol when he first started work.