We're dividing 682696 by 66 
We're looking to find how many times 66 goes into 682696.

Moving on to step 1:
66 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 66

On to step 2:
66 goes into 68 1 times with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 2 after subtracting 66 from 68.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 66

Let's proceed to step 3:
22 divided by 66 is 0 with a remainder of 22.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtract 0 from 22 to get 22.
Fetch the next digit (6) from the dividend, attach it to 22 and continue: 226 / 66

Advancing to step 4:
The number 66 fits into 226 3 times, leaving a remainder of 28.
The next digit of our result is 3. 
Result so far: 103.0
The remainder is 28 after subtracting 198 from 226.
Append the next digit (9) from the dividend to 28 and continue with: 289 / 66

Moving on to step 5:
66 goes into 289 4 times with a remainder of 25.
Record the quotient 4 as the next digit in the result. 
Result so far: 1034.0
If we take 264 away from 289, we end up with 25.
Bring next digit (6) of the dividend behind the 25 and repeat the process: 256 / 66

Advancing to step 6:
When dividing 256 by 66, we get 3 with a remainder of 58.
Write down 3 as next digit of the result. 
Result so far: 10343.0
Subtract 198 from 256 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 7:
66 goes into 580 8 times with a remainder of 52.
Use 8 as the next digit of our solution. 
Result so far: 10343.8
The remainder is 52 after subtracting 528 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 8:
66 can be fit into 520 7 times, resulting in a remainder of 58.
Put 7 as the next digit of the answer. 
Result so far: 10343.87
Subtracting 462 from 520 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Step 9:
The number 66 fits into 580 8 times, leaving a remainder of 52.
The number 8 becomes the next digit in our result. 
Result so far: 10343.878
If we subtract 528 from 580, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 10:
66 can be fit into 520 7 times, resulting in a remainder of 58.
The next digit of our result is 7. 
Result so far: 10343.8787
Subtract 462 from 520 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 11:
66 goes into 580 8 times with a remainder of 52.
The next digit of our result is 8. 
Result so far: 10343.87878
If we take 528 away from 580, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 12:
If we divide 520 by 66, we get 7 and a remainder of 58.
Write down 7 as next digit of the result. 
Result so far: 10343.878787
Subtracting 462 from 520 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 13:
When dividing 580 by 66, we get 8 with a remainder of 52.
Put 8 as the next digit of the answer. 
Result so far: 10343.8787878
Deduct 528 from 580 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 14:
The number 66 fits into 520 7 times, leaving a remainder of 58.
Use 7 as the next digit of our solution. 
Result so far: 10343.87878787
Subtract 462 from 520 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

In conclusion, the division gives 10343.87878787 with a balance of 5.8e-08.