We divide 677125 by 25
We want to divide 677125 by 25.

On to step 1:
If we divide 6 by 25, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 25

Going ahead to step 2:
67 divided by 25 is 2 with a remainder of 17.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 50 from 67 to get 17.
Bring next digit (7) of the dividend behind the 17 and repeat the process: 177 / 25

Advancing to step 3:
25 goes into 177 7 times with a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 27.0
Deduct 175 from 177 and we're left with 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 25

Let's proceed to step 4:
21 divided by 25 is 0 with a remainder of 21.
Record the quotient 0 as the next digit in the result. 
Result so far: 270.0
Deduct 0 from 21 and we're left with 21.
Grab the next digit (2) from the dividend, add it to 21, then carry on: 212 / 25

Step 5:
212 divided by 25 is 8 with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 2708.0
Subtracting 200 from 212 leaves us with 12.
Grab the next digit (5) from the dividend, add it to 12, then carry on: 125 / 25

Step 6:
If we divide 125 by 25, we get 5 and a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 27085.0
Subtract 125 from 125 to 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.

Going ahead to step 7:
0 divided by 25 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 27085.0
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.

Let's proceed to step 8:
When dividing 0 by 25, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 27085.0
Subtract 0 from 0 to 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.

In conclusion, the division gives 27085.0 with a balance of 0.0.