How should one proceed if after arriving there are not the required ten for a minyan for let's say Shacharit or Mincha?
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As a matter of practice at the daily minyon at the military post where I worked, we would have to continue davening individually until Yishtabach and usually we would get a minyon by Borchu. If a minyon does not come, then we have to daven the rest individually and do not say Borchu, Chazoras Hashatz, read the Torah, or say kadish. We do all daven together so that we stay at the same place, so that if a tenth person comes, we can continue with the minyon.
At the mincha minyon, everyone would daven individually because we would have to get back to work and could not wait.