To divide 2342 by 9, follow these steps:
1. Division step-by-step:
- Start by looking at the first digit of the dividend: 2. Since 2 is less than 9, it cannot accommodate the divisor, move to the next digit.
2. Combine the first and second digit:
- Now consider the first two digits: 23.
- Determine how many times 9 fits into 23 without exceeding it.
- [tex]\(9 \times 2 = 18\)[/tex] and [tex]\(9 \times 3 = 27\)[/tex], so 9 fits into 23, 2 times because 27 is too large.
3. Subtract and bring down the next digit:
- Subtract [tex]\(9 \times 2 = 18\)[/tex] from 23 to get the remainder.
- [tex]\(23 - 18 = 5\)[/tex].
- Bring down the next digit from the dividend, which is 4, making the number 54.
4. Repeat the process with 54:
- Determine how many times 9 fits into 54 without exceeding it.
- [tex]\(9 \times 6 = 54\)[/tex], so 9 fits into 54 6 times.
- Subtract [tex]\(9 \times 6 = 54\)[/tex] from 54 to get the remainder.
- [tex]\(54 - 54 = 0\)[/tex].
- Bring down the next digit from the dividend, which is 2, making 02.
5. Repeat the process with 02:
- Since 2 is less than 9, 9 fits into 2 zero times.
- Subtract [tex]\(9 \times 0 = 0\)[/tex] from 2 to get the remainder.
- [tex]\(2 - 0 = 2\)[/tex].
6. Final result:
- The quotient is the combination of the results from each step: 260.
- The remaining value, after the last subtraction, is 2.
So, the quotient is 260 and the remainder is 2. Therefore, [tex]\( 2342 \div 9 \)[/tex] results in 260 with a remainder of 2.
