We look at the division of 687102 by 66 
Let's see how many times 66 fits into 687102.

Going ahead to step 1:
The number 66 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 66

Step 2:
If we divide 68 by 66, we get 1 and a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 66 from 68 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 66

Advancing to step 3:
When dividing 27 by 66, we get 0 with a remainder of 27.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we subtract 0 from 27, we get 27.
Take the next digit (1) from the dividend and append it to 27, then repeat: 271 / 66

Moving on to step 4:
66 can be fit into 271 4 times, resulting in a remainder of 7.
The next digit of our result is 4. 
Result so far: 104.0
Subtracting 264 from 271 leaves us with 7.
Bring next digit (0) of the dividend behind the 7 and repeat the process: 70 / 66

On to step 5:
If we divide 70 by 66, we get 1 and a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 1041.0
If we subtract 66 from 70, we get 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 66

On to step 6:
42 divided by 66 is 0 with a remainder of 42.
The next digit of our result is 0. 
Result so far: 10410.0
If we subtract 0 from 42, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 7:
When dividing 420 by 66, we get 6 with a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 10410.6
If we subtract 396 from 420, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 8:
66 goes into 240 3 times with a remainder of 42.
Record the quotient 3 as the next digit in the result. 
Result so far: 10410.63
The remainder is 42 after subtracting 198 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 9:
66 goes into 420 6 times with a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 10410.636
If we subtract 396 from 420, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 10:
66 goes into 240 3 times with a remainder of 42.
Record the quotient 3 as the next digit in the result. 
Result so far: 10410.6363
If we subtract 198 from 240, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 11:
The number 66 fits into 420 6 times, leaving a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 10410.63636
Deduct 396 from 420 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 12:
66 goes into 240 3 times with a remainder of 42.
The next digit of our result is 3. 
Result so far: 10410.636363
The remainder is 42 after subtracting 198 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 13:
66 goes into 420 6 times with a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 10410.6363636
Subtracting 396 from 420 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 14:
The number 66 fits into 240 3 times, leaving a remainder of 42.
Write down 3 as next digit of the result. 
Result so far: 10410.63636363
The remainder is 42 after subtracting 198 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

The final result is 10410.63636363 with a remainder of 4.2e-08.