Let's divide 725674 by 66
Our goal is to divide 725674 by 66.

Let's proceed to step 1:
7 divided by 66 is 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Grab the next digit (2) from the dividend, add it to 7, then carry on: 72 / 66

Going ahead to step 2:
When dividing 72 by 66, we get 1 with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 66 from 72 to get 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 66

On to step 3:
If we divide 65 by 66, we get 0 and a remainder of 65.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtracting 0 from 65 leaves us with 65.
Fetch the next digit (6) from the dividend, attach it to 65 and continue: 656 / 66

Moving on to step 4:
The number 66 fits into 656 9 times, leaving a remainder of 62.
The number 9 becomes the next digit in our result. 
Result so far: 109.0
Subtract 594 from 656 to get 62.
Include the next digit (7) from the dividend after 62, then repeat: 627 / 66

Moving on to step 5:
66 can be fit into 627 9 times, resulting in a remainder of 33.
Record the quotient 9 as the next digit in the result. 
Result so far: 1099.0
Subtract 594 from 627 to get 33.
Append the next digit (4) from the dividend to 33 and continue with: 334 / 66

Going ahead to step 6:
The number 66 fits into 334 5 times, leaving a remainder of 4.
The next digit of our result is 5. 
Result so far: 10995.0
If we take 330 away from 334, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 7:
66 goes into 40 0 times with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 10995.0
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 8:
When dividing 400 by 66, we get 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 10995.06
If we subtract 396 from 400, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 9:
66 can be fit into 40 0 times, resulting in a remainder of 40.
The next digit of our result is 0. 
Result so far: 10995.06
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 10:
66 goes into 400 6 times with a remainder of 4.
The next digit of our result is 6. 
Result so far: 10995.0606
If we take 396 away from 400, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 11:
40 divided by 66 is 0 with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 10995.0606
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 12:
66 goes into 400 6 times with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 10995.060606
Subtracting 396 from 400 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 13:
When dividing 40 by 66, we get 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 10995.060606
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 14:
66 can be fit into 400 6 times, resulting in a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 10995.06060606
Subtract 396 from 400 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 10995.06060606 with a balance of 4e-09.