Sure! Let's solve the division of 13700 by 7 step-by-step using the long division method.
1. Set up the division:
- We write 13700 (the dividend) under the long division bar and 7 (the divisor) outside the bar.
2. Divide the first digit:
- The first digit of 13700 is 1. We ask, how many times does 7 go into 1? It doesn't, because 1 is smaller than 7. Therefore, we move to the first two digits (13).
- We note that 7 goes into 13 once. Write 1 above the division bar.
3. Multiply and subtract:
- Multiply 1 by 7 to get 7, and write it below 13.
- Subtract 7 from 13 to get the remainder: 13 - 7 = 6.
4. Bring down the next digit:
- Bring down the next digit which is 7, making the number 67.
5. Divide the current number:
- Now, how many times does 7 go into 67? It goes 9 times.
- Write 9 above the division bar, next to the 1.
6. Multiply and subtract:
- Multiply 9 by 7 to get 63, and write it below 67.
- Subtract 63 from 67 to get the remainder: 67 - 63 = 4.
7. Bring down the next digit:
- Bring down the next digit which is 0, making the number 40.
8. Divide the current number:
- How many times does 7 go into 40? It goes 5 times.
- Write 5 above the division bar, next to the 19.
9. Multiply and subtract:
- Multiply 5 by 7 to get 35, and write it below 40.
- Subtract 35 from 40 to get the remainder: 40 - 35 = 5.
10. Bring down the next digit:
- Bring down the next digit which is 0, making the number 50.
11. Divide the current number:
- How many times does 7 go into 50? It goes 7 times.
- Write 7 above the division bar, next to the 195.
12. Multiply and subtract:
- Multiply 7 by 7 to get 49, and write it below 50.
- Subtract 49 from 50 to get the remainder: 50 - 49 = 1.
The quotient is 1957 and the remainder is 1.
So, when 13700 is divided by 7, it equals 1957 with a remainder of 1.
