To solve the problem of finding the partial quotient in the first step of dividing 4357 by 21 while subtracting 4200, we'll focus on the division itself before considering any adjustments.
The first step in determining a partial quotient in the division of 4357 by 21 involves estimating how many times 21 fits into 4357.
- First, let's make a rough estimate. We know that 21 is close to 20. So we can use 20 for our estimation.
- Calculate \( 21 \times 20 = 420 \). This gives us a sense of how many times 21 might fit into 4357.
- Now, we can also consider 400 as a more substantial partial quotient because \( 21 \times 400 = 8400 \), which is significantly larger than our starting number.
However, in terms of straightforward partial quotients, if we simply use the initial more manageable number, we could take 200.
By re-evaluating, the options given can be settled into estimating:
- 2: Too small.
- 20: Possible as it's the first identifiable.
- 100: Basically a rough estimate but less probable.
- 200: Closer as we proceed with the divisions.
Given the options, in the first step, the likely partial quotient is:
20.
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