Questions & Answers about Когда я подошёл к двери, домофон снова зазвонил.
Подошёл is the masculine past-tense form of подойти, a perfective verb meaning to come up to / approach / walk up to.
Here it implies a completed movement: the speaker reached the door. It is not just was walking toward the door, but got to the door.
Compare:
- я подходил к двери = I was approaching the door / I used to approach the door
- я подошёл к двери = I approached the door / I came up to the door
Because this sentence describes one completed event in the past, подошёл is the natural choice.
The preposition к requires the dative case.
So:
- дверь = door (dictionary form, nominative)
- к двери = to the door / toward the door (dative)
This is a very common pattern:
- к дому = to the house
- к окну = to the window
- к человеку = to the person
So подойти к двери is the standard way to say approach the door.