25917 ÷ 91 
We want to divide 25917 by 91.

On to step 1:
When dividing 2 by 91, we get 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 91

Going ahead to step 2:
91 goes into 25 0 times with a remainder of 25.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 25 to get 25.
Include the next digit (9) from the dividend after 25, then repeat: 259 / 91

Step 3:
The number 91 fits into 259 2 times, leaving a remainder of 77.
Use 2 as the next digit of our solution. 
Result so far: 2.0
The remainder is 77 after subtracting 182 from 259.
Append the next digit (1) from the dividend to 77 and continue with: 771 / 91

On to step 4:
771 divided by 91 is 8 with a remainder of 43.
Write down 8 as next digit of the result. 
Result so far: 28.0
Subtract 728 from 771 to get 43.
Take the next digit (7) from the dividend and append it to 43, then repeat: 437 / 91

Moving on to step 5:
91 goes into 437 4 times with a remainder of 73.
Write down 4 as next digit of the result. 
Result so far: 284.0
If we take 364 away from 437, we end up with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

On to step 6:
91 can be fit into 730 8 times, resulting in a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 284.8
If we take 728 away from 730, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
If we divide 20 by 91, we get 0 and a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 284.8
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
If we divide 200 by 91, we get 2 and a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 284.802
If we subtract 182 from 200, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 9:
If we divide 180 by 91, we get 1 and a remainder of 89.
Write down 1 as next digit of the result. 
Result so far: 284.8021
If we take 91 away from 180, we end up with 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

Let's proceed to step 10:
91 can be fit into 890 9 times, resulting in a remainder of 71.
The next digit of our result is 9. 
Result so far: 284.80219
Subtracting 819 from 890 leaves us with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

On to step 11:
The number 91 fits into 710 7 times, leaving a remainder of 73.
The next digit of our result is 7. 
Result so far: 284.802197
Subtract 637 from 710 to get 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Going ahead to step 12:
730 divided by 91 is 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 284.8021978
Subtract 728 from 730 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 13:
The number 91 fits into 20 0 times, leaving a remainder of 20.
The next digit of our result is 0. 
Result so far: 284.8021978
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

In conclusion, the division gives 284.8021978 with a balance of 2e-08.