Let's divide 2307 by 7 step-by-step to obtain the quotient and remainder.
1. Setup: Write 2307 as the dividend and 7 as the divisor.
2. First step: Look at the first digit of the dividend, which is 2. Since 2 is less than 7, we can't divide it, so we consider the first two digits, 23.
3. Divide: Determine how many times 7 can go into 23.
- 7 goes into 23 three times because \(7 \times 3 = 21\).
4. Subtract: Subtract 21 from 23.
- \(23 - 21 = 2\).
5. Bring down: Bring down the next digit of the dividend, which is 0, making the new number 20.
6. Next Division: Divide 20 by 7.
- 7 goes into 20 two times because \(7 \times 2 = 14\).
7. Subtract: Subtract 14 from 20.
- \(20 - 14 = 6\).
8. Bring down: Bring down the next digit of the dividend, which is 7, making the new number 67.
9. Final Division: Divide 67 by 7.
- 7 goes into 67 nine times because \(7 \times 9 = 63\).
10. Subtract: Subtract 63 from 67.
- \(67 - 63 = 4\).
Putting it all together, the quotient when 2307 is divided by 7 is 329 and the remainder is 4.
So, [tex]\(2307 \div 7 = 329\)[/tex] with a remainder of 4.
