In Star Trek TNG, the crew would often ask the computer to perform certain searches. Usually the computer would respond, "Working..." and after a few moments give the answer.
I vaguely remember an episode where the ship's computer took hours to search records. I think the senior staff were informed when the search was complete and then reconvened.
But it's only a vague memory. Did that really happen? I'm interested because it would be one example where modern technology (e.g. Google) is way ahead of Star Trek technology.