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Answer :
To find the quotient of [tex]\(82,596 \div 38\)[/tex], let's proceed step-by-step:
1. Understanding the problem: We need to divide 82,596 by 38 to find out how many times 38 fits into 82,596.
2. Performing the division: When we divide 82,596 by 38, we are looking for both the whole number part of the division and any remainder.
3. Calculating the result: Performing the division gives us an approximate quotient of [tex]\(2173.5789473684213\)[/tex].
4. Interpreting the result: From the quotient, we understand that 38 fits into 82,596 a total of 2,173 whole times, and there is still a part left over.
5. Expressing the remainder: The decimal part, [tex]\(0.5789473684213\)[/tex], indicates a remainder. To convert this into a fraction we check the options given. When calculated, [tex]\(38 \times 0.5789473684213 \approx 22\)[/tex].
6. Identifying the correct choice: The quotient, written as a mixed number with the whole number and the fraction that corresponds to the remainder, is [tex]\(2,173 \frac{22}{38}\)[/tex].
Therefore, the correct answer is:
C. [tex]\(82,596 \div 38 = 2,173 \frac{22}{38}\)[/tex]
1. Understanding the problem: We need to divide 82,596 by 38 to find out how many times 38 fits into 82,596.
2. Performing the division: When we divide 82,596 by 38, we are looking for both the whole number part of the division and any remainder.
3. Calculating the result: Performing the division gives us an approximate quotient of [tex]\(2173.5789473684213\)[/tex].
4. Interpreting the result: From the quotient, we understand that 38 fits into 82,596 a total of 2,173 whole times, and there is still a part left over.
5. Expressing the remainder: The decimal part, [tex]\(0.5789473684213\)[/tex], indicates a remainder. To convert this into a fraction we check the options given. When calculated, [tex]\(38 \times 0.5789473684213 \approx 22\)[/tex].
6. Identifying the correct choice: The quotient, written as a mixed number with the whole number and the fraction that corresponds to the remainder, is [tex]\(2,173 \frac{22}{38}\)[/tex].
Therefore, the correct answer is:
C. [tex]\(82,596 \div 38 = 2,173 \frac{22}{38}\)[/tex]
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