What's wrong with racking the pump once (assuming you haven't fired and your tube is at full capacity) to eject the currently chambered round and chamber the next (thus 'making space'), popping the desired round into the magazine from below ala on-the-fly reload, and repeating to load the newly inserted round? This has the benefit of never leaving you with a round out of the chamber and avoids all the shaking and slapping which sounds rather fiddly.
I'm not familiar with Remingtons, though, so this may only be easier with Mossberg pumps.
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twisted no more
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