Hardy Peterson
06/21/2024 · Senior High School

For problems 7 and 8, divide. Write the quotient and the remainder on separate lin \( \begin{array}{ll}\text { 7. } 6,874 \div 3 & \text { 8. } 10,580 \div 6 \\ \text { Quotient: } & \text { Quotient: } \\ \text { Remainder: } \\ \text { Remainder: }\end{array} \)

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Step-by-step Solution

Let's solve the division problems one by one. **7. \( 6,874 \div 3 \)** To divide 6,874 by 3: 1. 3 goes into 6 two times (3 x 2 = 6). 2. Subtract 6 from 6 to get 0. Bring down the next digit (8). 3. 3 goes into 8 two times (3 x 2 = 6). 4. Subtract 6 from 8 to get 2. Bring down the next digit (7). 5. 3 goes into 27 nine times (3 x 9 = 27). 6. Subtract 27 from 27 to get 0. Bring down the next digit (4). 7. 3 goes into 4 one time (3 x 1 = 3). 8. Subtract 3 from 4 to get 1. So, the quotient is 2,291 and the remainder is 1. **8. \( 10,580 \div 6 \)** To divide 10,580 by 6: 1. 6 goes into 10 one time (6 x 1 = 6). 2. Subtract 6 from 10 to get 4. Bring down the next digit (5). 3. 6 goes into 45 seven times (6 x 7 = 42). 4. Subtract 42 from 45 to get 3. Bring down the next digit (8). 5. 6 goes into 38 six times (6 x 6 = 36). 6. Subtract 36 from 38 to get 2. Bring down the next digit (0). 7. 6 goes into 20 three times (6 x 3 = 18). 8. Subtract 18 from 20 to get 2. So, the quotient is 1,763 and the remainder is 2. Now, let's summarize the results: \[ \begin{array}{ll} \text{7. } 6,874 \div 3 & \\ \text{Quotient: } & 2,291 \\ \text{Remainder: } & 1 \\ \\ \text{8. } 10,580 \div 6 & \\ \text{Quotient: } & 1,763 \\ \text{Remainder: } & 2 \\ \end{array} \]

Quick Answer

7. Quotient: 2,291, Remainder: 1 8. Quotient: 1,763, Remainder: 2
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