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Answer :
Answer: 47 with a remainder of 131
Step-by-step explanation: To find the quotient and remainder when dividing 8241 by 173, we can use long division. Here's how:
1. First, divide the leftmost digit of the dividend (8241) by the divisor (173). In this case, 8 divided by 173 is 0, as 8 is smaller than 173. So, the quotient for this step is 0.
2. Write the quotient (0) above the dividend and multiply it by the divisor (173). The result, 0 times 173, is 0. Write this below the dividend.
3. Subtract the product (0) from the current portion of the dividend (8241) to get the remainder. In this case, the remainder is still 8241.
4. Bring down the next digit of the dividend (2) and place it next to the remainder (8241), resulting in 82412.
5. Divide the leftmost two digits of the new dividend (82) by the divisor (173). The quotient is 0, as 82 is smaller than 173. Write this quotient above the new dividend.
6. Multiply the new quotient (0) by the divisor (173). The product, 0 times 173, is 0. Write this below the new dividend.
7. Subtract the product (0) from the current portion of the dividend (82412) to get the new remainder, which is still 82412.
8. Bring down the next digit of the dividend (4) and place it next to the new remainder (82412), resulting in 824124.
9. Divide the leftmost three digits of the new dividend (824) by the divisor (173). The quotient is 4, as 824 divided by 173 is 4. Write this quotient above the new dividend.
10. Multiply the new quotient (4) by the divisor (173). The product, 4 times 173, is 692. Write this below the new dividend.
11. Subtract the product (692) from the current portion of the dividend (824124) to get the new remainder. In this case, the remainder is 13112.
12. Continue bringing down digits from the dividend until the entire dividend is divided.
In the case of 8241 divided by 173, the quotient is 47 and the remainder is 131. So, the answer is 47 with a remainder of 131.
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