We look at the division of 12665775 by 725 
Our goal is to divide 12665775 by 725.

Advancing to step 1:
If we divide 1 by 725, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 725

Step 2:
725 goes into 12 0 times with a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Bring next digit (6) of the dividend behind the 12 and repeat the process: 126 / 725

Going ahead to step 3:
725 goes into 126 0 times with a remainder of 126.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 126 to get 126.
Fetch the next digit (6) from the dividend, attach it to 126 and continue: 1266 / 725

Advancing to step 4:
1266 divided by 725 is 1 with a remainder of 541.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 725 from 1266 and we're left with 541.
Include the next digit (5) from the dividend after 541, then repeat: 5415 / 725

Moving on to step 5:
725 can be fit into 5415 7 times, resulting in a remainder of 340.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
Subtract 5075 from 5415 to get 340.
Fetch the next digit (7) from the dividend, attach it to 340 and continue: 3407 / 725

Step 6:
725 can be fit into 3407 4 times, resulting in a remainder of 507.
The next digit of our result is 4. 
Result so far: 174.0
Subtracting 2900 from 3407 leaves us with 507.
Take the next digit (7) from the dividend and append it to 507, then repeat: 5077 / 725

Going ahead to step 7:
The number 725 fits into 5077 7 times, leaving a remainder of 2.
The next digit of our result is 7. 
Result so far: 1747.0
If we take 5075 away from 5077, we end up with 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 725

Step 8:
725 can be fit into 25 0 times, resulting in a remainder of 25.
Use 0 as the next digit of our solution. 
Result so far: 17470.0
Subtracting 0 from 25 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 9:
The number 725 fits into 250 0 times, leaving a remainder of 250.
Record the quotient 0 as the next digit in the result. 
Result so far: 17470.0
The remainder is 250 after subtracting 0 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2500, and continue the process.

Advancing to step 10:
The number 725 fits into 2500 3 times, leaving a remainder of 325.
Write down 3 as next digit of the result. 
Result so far: 17470.03
Subtract 2175 from 2500 to get 325.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3250, and continue the process.

Let's proceed to step 11:
The number 725 fits into 3250 4 times, leaving a remainder of 350.
Write down 4 as next digit of the result. 
Result so far: 17470.034
Deduct 2900 from 3250 and we're left with 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3500, and continue the process.

Step 12:
725 can be fit into 3500 4 times, resulting in a remainder of 600.
Put 4 as the next digit of the answer. 
Result so far: 17470.0344
If we subtract 2900 from 3500, we get 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6000, and continue the process.

Our division results in 17470.0344 with a remaining 0.006.