We're dividing 25255191 by 675 
We want to divide 25255191 by 675.

Let's proceed to step 1:
2 divided by 675 is 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 675

Moving on to step 2:
675 goes into 25 0 times with a remainder of 25.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 25 and we're left with 25.
Grab the next digit (2) from the dividend, add it to 25, then carry on: 252 / 675

Let's proceed to step 3:
675 goes into 252 0 times with a remainder of 252.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 252 leaves us with 252.
Include the next digit (5) from the dividend after 252, then repeat: 2525 / 675

Let's proceed to step 4:
2525 divided by 675 is 3 with a remainder of 500.
Use 3 as the next digit of our solution. 
Result so far: 3.0
The remainder is 500 after subtracting 2025 from 2525.
Bring next digit (5) of the dividend behind the 500 and repeat the process: 5005 / 675

Step 5:
5005 divided by 675 is 7 with a remainder of 280.
Record the quotient 7 as the next digit in the result. 
Result so far: 37.0
If we subtract 4725 from 5005, we get 280.
Bring next digit (1) of the dividend behind the 280 and repeat the process: 2801 / 675

Step 6:
If we divide 2801 by 675, we get 4 and a remainder of 101.
The next digit of our result is 4. 
Result so far: 374.0
If we take 2700 away from 2801, we end up with 101.
Take the next digit (9) from the dividend and append it to 101, then repeat: 1019 / 675

Step 7:
675 can be fit into 1019 1 times, resulting in a remainder of 344.
The number 1 becomes the next digit in our result. 
Result so far: 3741.0
If we take 675 away from 1019, we end up with 344.
Grab the next digit (1) from the dividend, add it to 344, then carry on: 3441 / 675

Advancing to step 8:
When dividing 3441 by 675, we get 5 with a remainder of 66.
Record the quotient 5 as the next digit in the result. 
Result so far: 37415.0
If we take 3375 away from 3441, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Going ahead to step 9:
When dividing 660 by 675, we get 0 with a remainder of 660.
The number 0 becomes the next digit in our result. 
Result so far: 37415.0
Deduct 0 from 660 and we're left with 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6600, and continue the process.

Step 10:
6600 divided by 675 is 9 with a remainder of 525.
The next digit of our result is 9. 
Result so far: 37415.09
Subtract 6075 from 6600 to get 525.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5250, and continue the process.

Going ahead to step 11:
675 goes into 5250 7 times with a remainder of 525.
Record the quotient 7 as the next digit in the result. 
Result so far: 37415.097
The remainder is 525 after subtracting 4725 from 5250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5250, and continue the process.

Step 12:
When dividing 5250 by 675, we get 7 with a remainder of 525.
Put 7 as the next digit of the answer. 
Result so far: 37415.0977
Subtracting 4725 from 5250 leaves us with 525.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5250, and continue the process.

In conclusion, the division gives 37415.0977 with a balance of 0.00525.