We look at the division of 397657 by 25 
We're looking to find how many times 25 goes into 397657.

Let's proceed to step 1:
3 divided by 25 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 25

Going ahead to step 2:
If we divide 39 by 25, we get 1 and a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 25 from 39, we get 14.
Append the next digit (7) from the dividend to 14 and continue with: 147 / 25

Let's proceed to step 3:
25 can be fit into 147 5 times, resulting in a remainder of 22.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Subtracting 125 from 147 leaves us with 22.
Bring next digit (6) of the dividend behind the 22 and repeat the process: 226 / 25

Advancing to step 4:
25 goes into 226 9 times with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 159.0
If we take 225 away from 226, we end up with 1.
Fetch the next digit (5) from the dividend, attach it to 1 and continue: 15 / 25

Going ahead to step 5:
25 goes into 15 0 times with a remainder of 15.
Use 0 as the next digit of our solution. 
Result so far: 1590.0
Deduct 0 from 15 and we're left with 15.
Take the next digit (7) from the dividend and append it to 15, then repeat: 157 / 25

Moving on to step 6:
The number 25 fits into 157 6 times, leaving a remainder of 7.
Record the quotient 6 as the next digit in the result. 
Result so far: 15906.0
Subtracting 150 from 157 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 7:
When dividing 70 by 25, we get 2 with a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 15906.2
If we subtract 50 from 70, 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:
The number 25 fits into 200 8 times, leaving a remainder of 0.
The number 8 becomes the next digit in our result. 
Result so far: 15906.28
The remainder is 0 after subtracting 200 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 9:
25 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 15906.28
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 10:
25 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 15906.28
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 15906.28, with a leftover of 0.0.