686142 ÷ 66 
Our goal is to divide 686142 by 66.

Moving on to step 1:
When dividing 6 by 66, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (8) from the dividend, add it to 6, then carry on: 68 / 66

Going ahead to step 2:
66 goes into 68 1 times with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 2 after subtracting 66 from 68.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 66

Advancing to step 3:
66 goes into 26 0 times with a remainder of 26.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we take 0 away from 26, we end up with 26.
Take the next digit (1) from the dividend and append it to 26, then repeat: 261 / 66

Advancing to step 4:
66 can be fit into 261 3 times, resulting in a remainder of 63.
Record the quotient 3 as the next digit in the result. 
Result so far: 103.0
Deduct 198 from 261 and we're left with 63.
Grab the next digit (4) from the dividend, add it to 63, then carry on: 634 / 66

Going ahead to step 5:
If we divide 634 by 66, we get 9 and a remainder of 40.
Record the quotient 9 as the next digit in the result. 
Result so far: 1039.0
Subtract 594 from 634 to get 40.
Take the next digit (2) from the dividend and append it to 40, then repeat: 402 / 66

On to step 6:
402 divided by 66 is 6 with a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 10396.0
Deduct 396 from 402 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 7:
66 goes into 60 0 times with a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 10396.0
Subtracting 0 from 60 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 8:
The number 66 fits into 600 9 times, leaving a remainder of 6.
The number 9 becomes the next digit in our result. 
Result so far: 10396.09
If we take 594 away from 600, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 9:
60 divided by 66 is 0 with a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 10396.09
Subtract 0 from 60 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 10:
66 can be fit into 600 9 times, resulting in a remainder of 6.
Write down 9 as next digit of the result. 
Result so far: 10396.0909
If we take 594 away from 600, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 11:
When dividing 60 by 66, we get 0 with a remainder of 60.
The next digit of our result is 0. 
Result so far: 10396.0909
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 12:
When dividing 600 by 66, we get 9 with a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 10396.090909
If we take 594 away from 600, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 13:
If we divide 60 by 66, we get 0 and a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 10396.090909
Deduct 0 from 60 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 14:
The number 66 fits into 600 9 times, leaving a remainder of 6.
Write down 9 as next digit of the result. 
Result so far: 10396.09090909
The remainder is 6 after subtracting 594 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

After the division, we end up with 10396.09090909 and a remainder of 6e-09.