We look at the division of 205177 by 25 
We're looking to find how many times 25 goes into 205177.

Let's proceed to step 1:
If we divide 2 by 25, we get 0 and 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.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 25

Moving on to step 2:
25 goes into 20 0 times with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 20 leaves us with 20.
Append the next digit (5) from the dividend to 20 and continue with: 205 / 25

Advancing to step 3:
205 divided by 25 is 8 with a remainder of 5.
Write down 8 as next digit of the result. 
Result so far: 8.0
Deduct 200 from 205 and we're left with 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 25

Step 4:
25 goes into 51 2 times with a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 82.0
Subtracting 50 from 51 leaves us with 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 25

Let's proceed to step 5:
The number 25 fits into 17 0 times, leaving a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 820.0
The remainder is 17 after subtracting 0 from 17.
Fetch the next digit (7) from the dividend, attach it to 17 and continue: 177 / 25

Let's proceed to step 6:
When dividing 177 by 25, we get 7 with a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 8207.0
Deduct 175 from 177 and we're left 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.

Going ahead to step 7:
If we divide 20 by 25, we get 0 and a remainder of 20.
The next digit of our result is 0. 
Result so far: 8207.0
Subtract 0 from 20 to 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.

On to step 8:
25 goes into 200 8 times with a remainder of 0.
The number 8 becomes the next digit in our result. 
Result so far: 8207.08
If we subtract 200 from 200, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 9:
When dividing 0 by 25, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 8207.08
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 10:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 8207.08
Deduct 0 from 0 and we're left 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 8207.08, with a leftover of 0.0.