To solve this division problem, where we need to divide 108,000 by 26, we can follow these steps:
1. Set up the division: Place 108,000 (the dividend) inside the long division symbol and 26 (the divisor) outside.
2. Divide 108 by 26: Determine how many times 26 can fit into 108. It fits approximately 4 times, since 26 multiplied by 4 equals 104, which is close to 108.
3. Subtract the result: Subtract 104 from 108, which leaves 4.
4. Bring down the next digit: Bring down the next digit from 108,000, which is 0, making the new number 40.
5. Divide 40 by 26: Determine how many times 26 can fit into 40. It fits once, since 26 multiplied by 1 equals 26.
6. Subtract the result: Subtract 26 from 40, which leaves 14.
7. Continue the process: Bring down the next digit, which is again 0, making the new number 140.
8. Divide 140 by 26: Determine how many times 26 can fit into 140. It fits approximately 5 times, since 26 multiplied by 5 equals 130.
9. Subtract the result: Subtract 130 from 140, which leaves 10.
10. Bring down the next digit: Bring down the next digit, which is another 0, making the new number 100.
11. Divide 100 by 26: Determine how many times 26 can fit into 100. It fits 3 times, since 26 multiplied by 3 equals 78.
12. Subtract the result: Subtract 78 from 100, which leaves 22.
13. Bring down the next digit: Bring down the next digit, which is another 0, making the new number 220.
14. Divide 220 by 26: Finally, determine how many times 26 can fit into 220. It fits exactly 8 times, since 26 multiplied by 8 equals 208.
15. Subtract the result and complete the division: Subtract 208 from 220, which leaves 12. Since no more digits remain to be brought down, we can stop here.
So, the quotient when dividing 108,000 by 26 is approximately 4153.846153846154.
