Greetings @Padox,
There is quite a bit going on in the last bit of bolt closure in a Remington 700. One of these is the extractor being forced over the rim of the case. This can be read as a tight case when the case is still loose in the chamber. Generally a tight case will also show a rub mark (shiny patch) on the base usually on the outer edge. I have 3 Remington 700 rifles and this is what I have found with some. For this reason I would recommend the Hornady comparator so you can work to a measurement rather than feel. If you ask around locally you might be able to find someone who has one. Trimming cases to the correct length as @Moa Hunter suggests above is also essential.
Regards Grandpamac,
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