We look at the division of 25911321 by 654 
Let's see how many times 654 fits into 25911321.

Step 1:
654 goes into 2 0 times with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 654

Advancing to step 2:
25 divided by 654 is 0 with a remainder of 25.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 25 to get 25.
Fetch the next digit (9) from the dividend, attach it to 25 and continue: 259 / 654

On to step 3:
When dividing 259 by 654, we get 0 with a remainder of 259.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 259 after subtracting 0 from 259.
Fetch the next digit (1) from the dividend, attach it to 259 and continue: 2591 / 654

Step 4:
The number 654 fits into 2591 3 times, leaving a remainder of 629.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 1962 from 2591 and we're left with 629.
Include the next digit (1) from the dividend after 629, then repeat: 6291 / 654

Moving on to step 5:
654 can be fit into 6291 9 times, resulting in a remainder of 405.
Put 9 as the next digit of the answer. 
Result so far: 39.0
If we take 5886 away from 6291, we end up with 405.
Bring next digit (3) of the dividend behind the 405 and repeat the process: 4053 / 654

Advancing to step 6:
654 can be fit into 4053 6 times, resulting in a remainder of 129.
The next digit of our result is 6. 
Result so far: 396.0
If we subtract 3924 from 4053, we get 129.
Bring next digit (2) of the dividend behind the 129 and repeat the process: 1292 / 654

Let's proceed to step 7:
654 can be fit into 1292 1 times, resulting in a remainder of 638.
Write down 1 as next digit of the result. 
Result so far: 3961.0
If we subtract 654 from 1292, we get 638.
Take the next digit (1) from the dividend and append it to 638, then repeat: 6381 / 654

Let's proceed to step 8:
When dividing 6381 by 654, we get 9 with a remainder of 495.
The next digit of our result is 9. 
Result so far: 39619.0
Subtracting 5886 from 6381 leaves us with 495.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4950, and continue the process.

Step 9:
The number 654 fits into 4950 7 times, leaving a remainder of 372.
Use 7 as the next digit of our solution. 
Result so far: 39619.7
If we subtract 4578 from 4950, we get 372.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3720, and continue the process.

Let's proceed to step 10:
The number 654 fits into 3720 5 times, leaving a remainder of 450.
The next digit of our result is 5. 
Result so far: 39619.75
Subtracting 3270 from 3720 leaves us with 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4500, and continue the process.

Advancing to step 11:
When dividing 4500 by 654, we get 6 with a remainder of 576.
Record the quotient 6 as the next digit in the result. 
Result so far: 39619.756
The remainder is 576 after subtracting 3924 from 4500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5760, and continue the process.

Let's proceed to step 12:
When dividing 5760 by 654, we get 8 with a remainder of 528.
The number 8 becomes the next digit in our result. 
Result so far: 39619.7568
Deduct 5232 from 5760 and we're left with 528.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5280, and continue the process.

Moving on to step 13:
654 can be fit into 5280 8 times, resulting in a remainder of 48.
Use 8 as the next digit of our solution. 
Result so far: 39619.75688
The remainder is 48 after subtracting 5232 from 5280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

In conclusion, the division gives 39619.75688 with a balance of 4.8e-05.