We look at the division of 871666 by 66 
We want to figure out the number of times 871666 can be divided by 66.

Going ahead to step 1:
The number 66 fits into 8 0 times, leaving a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 66

Moving on to step 2:
66 goes into 87 1 times with a remainder of 21.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 21 after subtracting 66 from 87.
Bring next digit (1) of the dividend behind the 21 and repeat the process: 211 / 66

On to step 3:
If we divide 211 by 66, we get 3 and a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
The remainder is 13 after subtracting 198 from 211.
Grab the next digit (6) from the dividend, add it to 13, then carry on: 136 / 66

Advancing to step 4:
66 can be fit into 136 2 times, resulting in a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 132.0
If we subtract 132 from 136, we get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 66

Step 5:
If we divide 46 by 66, we get 0 and a remainder of 46.
Record the quotient 0 as the next digit in the result. 
Result so far: 1320.0
Subtracting 0 from 46 leaves us with 46.
Append the next digit (6) from the dividend to 46 and continue with: 466 / 66

Advancing to step 6:
When dividing 466 by 66, we get 7 with a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 13207.0
The remainder is 4 after subtracting 462 from 466.
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 7:
66 goes into 40 0 times with a remainder of 40.
The next digit of our result is 0. 
Result so far: 13207.0
Subtracting 0 from 40 leaves us 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 8:
66 goes into 400 6 times with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 13207.06
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.

Step 9:
66 goes into 40 0 times with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 13207.06
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.

Step 10:
66 goes into 400 6 times with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 13207.0606
Deduct 396 from 400 and we're left 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.

Step 11:
If we divide 40 by 66, we get 0 and a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 13207.0606
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:
400 divided by 66 is 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 13207.060606
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.

Let's proceed to step 13:
If we divide 40 by 66, we get 0 and a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 13207.060606
Deduct 0 from 40 and we're left 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 14:
The number 66 fits into 400 6 times, leaving a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 13207.06060606
Deduct 396 from 400 and we're left 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.

After the division, we end up with 13207.06060606 and a remainder of 4e-09.