Sure, let's solve the division problem step-by-step.
We need to divide 449 by 23.
1. Determine how many times 23 can go into the first part of 449.
- Look at the first two digits, 44.
- 23 goes into 44 one time because [tex]\(23 \times 1 = 23\)[/tex], which is less than 44.
- Write 1 above the 44.
2. Subtract 23 from 44.
- [tex]\(44 - 23 = 21\)[/tex].
- Write 21 below 44.
3. Bring down the next digit (which is 9) to make the new number 219.
4. Determine how many times 23 can go into 219.
- 23 goes into 219 nine times because [tex]\(23 \times 9 = 207\)[/tex], which is less than 219.
- Write 9 above the 9 in 449.
5. Subtract 207 from 219.
- [tex]\(219 - 207 = 12\)[/tex].
- Write 12 below 219.
So, the division is done, and we find that:
- The quotient is 19.
- The remainder is 12.
In conclusion, [tex]\( 449 \div 23 = 19 \text{ with a remainder of } 12 \)[/tex].
