An example of into is someone working past their normal hours in a day to enter overtime hours.
An example of into is walking through the front door of a house.
Went into the house.
Crashed into a tree.
The number 3 goes into 9 three times.
Well into the week.
Walked into the house, jumped into the lake.
Dancing far into the night.
Turned into a swan, divided into parts.
To bump into a door.
To go into teaching.
The road leads into town.
3 into 21 is 7
Looked into the distance; pointed into the sky.