Someone tells you they used to spend time in a recording studio as a kid. You could say “That's interesting” and move on. If you really want to hear the story, there is an opening for another question.
“What do you remember most?”
That asks for a detail the person can choose. They might talk about a voice, a piece of equipment, or the feeling of being allowed into the room. You do not have to guess the answer before you ask.
“Tell me a little more about that.”
This can work when you want to leave the direction open. If there is one part that caught your attention, name it: “What was it like hearing him through the speakers?”
The second question shows what you heard. It is often easier to answer than a string of broad questions delivered one after another.
Give the person time to respond. A follow-up loses some of its welcome if you ask it while checking a message or planning the story you want to tell next.
You can offer a small response before the question: “I can see why that stayed with you. What do you remember most?” Use that only when it fits what they have actually said. There is no need to dress every reply in a feeling you do not have.
Questions can also get too personal. If the person gives a short answer or changes the subject, let the conversation move. Interest does not give you a claim on every detail.
For practice, listen to a short story and pick one thing you genuinely want to know. Ask about that detail. Then leave enough room to hear the answer.
A good follow-up can be simple. What matters is that it comes from the story in front of you.