Long division (relevant for 6Q 19.1-19.3)

To solve the long division problem shown in the image, we divide 12,345 by 5. The process begins by determining how many times 5 fits into the first digit or group of digits from the left. Here, 5 goes into 12 twice, so we write 2 above the line. We then multiply 2 by 5, giving us 10, which we subtract from 12, leaving a remainder of 2.

Next, we bring down the next digit, 3, making it 23. We see how many times 5 fits into 23, which is 4 times. We write 4 above the line, multiply 4 by 5 to get 20, and subtract it from 23, leaving a remainder of 3. We continue this process, bringing down the next digit each time, until all digits have been used. The final result is 2,469 with no remainder, indicating that 12,345 is exactly divisible by 5.