put down vs fill in

put down and fill in both are verbs.

Word	Noun	Adjective	Verb	Adverb
put down	No	No	Yes	No
fill in	No	No	Yes	No

put down (verb)	fill in (verb)
put down in writing; of texts, musical compositions, etc.	supply with information on a specific topic
make a record of; set down in permanent form	write all the required information onto a form
put in a horizontal position	represent the effect of shade or shadow on
remove (cargo, people, etc.) from and leave	be a substitute
cause to sit or seat or be in a settled position or place
put (an animal) to death
reduce in worth or character, usually verbally
cause to come to the ground