[from here]

No delays so far.  Then again, he and Jack hadn't run into anything until they'd actually reached the kitchen either.  It was as he remembered it, and he hoped the cutlery would be in the same drawer as before.  Without pause, he started rummaging through the unlocked drawers, looking to pry open the others, which held the best supplies.  He'd rather not use his sword and damage it on something so simple, so searching for tools it would be.

[from here]

HK scanned the new area as soon as he entered, looking for any infrared signatures of living things in the vicinity. Nothing. Boring. He started heading for where the basement entrance was supposed to be hidden.

[From here.]

There was a very large pool of possible questions Mikami could start with, but for the moment, he only stepped further into the room, sweeping his flashlight back and forth in search of anything else which might disturb a conversation. He already disliked this room to begin with... the day-time memories he had created in its twin the day before weren't exactly pleasant. In any case, satisfied with his quick search, he then hung back, ready to shut the door. There was, of course, another doorway to this room too, but he didn't think it would be possible to overhear at that distance unless he and the Shinigami purposefully raised their voices.

Down to business. Mikami obviously wanted to ask Ryuk if he knew anything about Kira's current whereabouts, or, if that wasn't possible, any other plans and other information. After that... Mikami recognized a possibility that he could find a way to get back his Shinigami Eyes through Ryuk, and perhaps... even his Death Note. He noticed Ryuk had a twin to his own journal with him, and his eyes lingered on it for just a moment, the implications of getting his hands back on the tool Kira had sent him running through his head.

But for now, best to start with something simple. "How long have you been here?" he asked quietly and, while not quite kindly, not impolite either.