We divide 665767 by 25
We want to figure out the number of times 665767 can be divided by 25.

Moving on to step 1:
25 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 25

Step 2:
The number 25 fits into 66 2 times, leaving a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtract 50 from 66 to get 16.
Fetch the next digit (5) from the dividend, attach it to 16 and continue: 165 / 25

Let's proceed to step 3:
When dividing 165 by 25, we get 6 with a remainder of 15.
Record the quotient 6 as the next digit in the result. 
Result so far: 26.0
Subtract 150 from 165 to get 15.
Append the next digit (7) from the dividend to 15 and continue with: 157 / 25

Advancing to step 4:
The number 25 fits into 157 6 times, leaving a remainder of 7.
Write down 6 as next digit of the result. 
Result so far: 266.0
Subtract 150 from 157 to get 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 25

Step 5:
The number 25 fits into 76 3 times, leaving a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 2663.0
Subtracting 75 from 76 leaves us with 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 25

Step 6:
17 divided by 25 is 0 with a remainder of 17.
Use 0 as the next digit of our solution. 
Result so far: 26630.0
Subtract 0 from 17 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 7:
170 divided by 25 is 6 with a remainder of 20.
Write down 6 as next digit of the result. 
Result so far: 26630.6
Deduct 150 from 170 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
200 divided by 25 is 8 with a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 26630.68
If we take 200 away from 200, 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.

On to step 9:
0 divided by 25 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 26630.68
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.

Moving on to step 10:
When dividing 0 by 25, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 26630.68
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.

The final result is 26630.68 with a remainder of 0.0.