Question - Division Approximation Problem

Solution:

Given the numbers 628941 and 128378, to find the approximation of the division of 628941 by 128378, we perform the following calculations:

628941 \approx 629000

128378 \approx 128000

\frac{629000}{128000} = \frac{629}{128} \approx \frac{630}{130} = \frac{63}{13}

63 \div 13 = 4 \text{ remainder } 11

\frac{63}{13} \approx 4 + \frac{11}{13}

Since \frac{11}{13} is close to \frac{12}{13}, which is approximately 1, we have:

4 + \frac{11}{13} \approx 4 + 1 = 5

Therefore, the approximation of the division is 5.

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