Long division (relevant for 6Q 19.1-19.3)

To solve the division problem shown in the image, we are dividing 12,345 by 5. The process involves several steps:

1. Divide: Start with the first digit, 1. Since 1 is less than 5, consider the first two digits, 12. Divide 12 by 5, which goes 2 times (since $5\times 2=10$).
2. Multiply and Subtract: Multiply 2 by 5 to get 10, and subtract 10 from 12 to get a remainder of 2.
3. Bring Down: Bring down the next digit, 3, making it 23. Divide 23 by 5, which goes 4 times (since $5\times 4=20$).
4. Repeat: Multiply 4 by 5 to get 20, subtract from 23 to get a remainder of 3. Bring down the next digit, 4, making it 34. Divide 34 by 5, which goes 6 times (since $5\times 6=30$).
5. Continue: Multiply 6 by 5 to get 30, subtract from 34 to get a remainder of 4. Bring down the last digit, 5, making it 45. Divide 45 by 5, which goes 9 times (since $5\times 9=45$).
6. Finish: Multiply 9 by 5 to get 45, subtract from 45 to get a remainder of 0.

The quotient is 2,469, and there is no remainder. This completes the division process.