66871 ÷ 76 
We're looking to find how many times 76 goes into 66871.

Step 1:
6 divided by 76 is 0 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.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 76

Step 2:
The number 76 fits into 66 0 times, leaving a remainder of 66.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 66, we end up with 66.
Grab the next digit (8) from the dividend, add it to 66, then carry on: 668 / 76

Let's proceed to step 3:
If we divide 668 by 76, we get 8 and a remainder of 60.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Deduct 608 from 668 and we're left with 60.
Take the next digit (7) from the dividend and append it to 60, then repeat: 607 / 76

Advancing to step 4:
If we divide 607 by 76, we get 7 and a remainder of 75.
Put 7 as the next digit of the answer. 
Result so far: 87.0
Subtracting 532 from 607 leaves us with 75.
Append the next digit (1) from the dividend to 75 and continue with: 751 / 76

Moving on to step 5:
76 goes into 751 9 times with a remainder of 67.
Record the quotient 9 as the next digit in the result. 
Result so far: 879.0
Subtracting 684 from 751 leaves us with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Moving on to step 6:
76 can be fit into 670 8 times, resulting in a remainder of 62.
The next digit of our result is 8. 
Result so far: 879.8
Subtracting 608 from 670 leaves us with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Let's proceed to step 7:
When dividing 620 by 76, we get 8 with a remainder of 12.
The next digit of our result is 8. 
Result so far: 879.88
If we subtract 608 from 620, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final result is 879.88 with a remainder of 0.012.