We divide 677660 by 25
We want to figure out the number of times 677660 can be divided by 25.

Advancing to step 1:
6 divided by 25 is 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 25

Let's proceed to step 2:
When dividing 67 by 25, we get 2 with a remainder of 17.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we subtract 50 from 67, we get 17.
Fetch the next digit (7) from the dividend, attach it to 17 and continue: 177 / 25

Step 3:
177 divided by 25 is 7 with a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 27.0
Deduct 175 from 177 and we're left with 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 25

Step 4:
When dividing 26 by 25, we get 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 271.0
If we subtract 25 from 26, we get 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 25

Let's proceed to step 5:
If we divide 16 by 25, we get 0 and a remainder of 16.
Write down 0 as next digit of the result. 
Result so far: 2710.0
Subtracting 0 from 16 leaves us with 16.
Include the next digit (0) from the dividend after 16, then repeat: 160 / 25

Let's proceed to step 6:
25 can be fit into 160 6 times, resulting in a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 27106.0
If we take 150 away from 160, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 7:
The number 25 fits into 100 4 times, leaving a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 27106.4
If we take 100 away from 100, 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.

Moving on to step 8:
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: 27106.4
If we subtract 0 from 0, 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.

Going ahead to step 9:
25 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 27106.4
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.

Our division results in 27106.4 with a remaining 0.0.