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Answer :
To solve the problem of dividing 5704 by 429 and finding the quotient and remainder, we need to perform the division step-by-step.
1. Quotient Calculation: First, we need to determine how many times 429 can fit into 5704 completely without exceeding it.
- Divide 5704 by 429 using integer division. This gives us the quotient.
- 429 fits into 5704 a total of 13 times because if you multiply 429 by 13, you get 5577, and 429 by 14 would exceed 5704.
2. Remainder Calculation: Next, we calculate the remainder by subtracting the product of the divisor and the quotient from the original number.
- Multiply 429 by the quotient (13): [tex]\(429 \times 13 = 5577\)[/tex].
- Subtract this product from 5704: [tex]\(5704 - 5577 = 127\)[/tex].
Thus, when you divide 5704 by 429, the quotient is 13 with a remainder of 127. Therefore, the correct answer is C. 13 r 127.
1. Quotient Calculation: First, we need to determine how many times 429 can fit into 5704 completely without exceeding it.
- Divide 5704 by 429 using integer division. This gives us the quotient.
- 429 fits into 5704 a total of 13 times because if you multiply 429 by 13, you get 5577, and 429 by 14 would exceed 5704.
2. Remainder Calculation: Next, we calculate the remainder by subtracting the product of the divisor and the quotient from the original number.
- Multiply 429 by the quotient (13): [tex]\(429 \times 13 = 5577\)[/tex].
- Subtract this product from 5704: [tex]\(5704 - 5577 = 127\)[/tex].
Thus, when you divide 5704 by 429, the quotient is 13 with a remainder of 127. Therefore, the correct answer is C. 13 r 127.
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