To use partial quotients for dividing 2,378 by 22, we want to choose a number that is easy to work with and will help us subtract a large portion of 2,378.
Let's consider the options given:
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22: This is a small number and may need many iterations to reduce 2,378 significantly.
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220: This could be a reasonable start, as it is a multiple of 22.
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2,000: This is a larger number and would quickly reduce 2,378, but we need to see how close we can get to 2,378 without exceeding it.
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2,200: This is too large since 2,200 is greater than 2,378.
Given this analysis, 220 is the best choice for the first number to subtract from 2,378 when using partial quotients. It efficiently reduces the number while keeping the division manageable.