871177 ÷ 76 
We want to figure out the number of times 871177 can be divided by 76.

Step 1:
76 can be fit into 8 0 times, resulting in a remainder of 8.
Record the quotient 0 as the next digit in the result. 
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 / 76

Going ahead to step 2:
The number 76 fits into 87 1 times, leaving a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 76 from 87 and we're left with 11.
Grab the next digit (1) from the dividend, add it to 11, then carry on: 111 / 76

Going ahead to step 3:
76 can be fit into 111 1 times, resulting in a remainder of 35.
The next digit of our result is 1. 
Result so far: 11.0
If we take 76 away from 111, we end up with 35.
Grab the next digit (1) from the dividend, add it to 35, then carry on: 351 / 76

Going ahead to step 4:
When dividing 351 by 76, we get 4 with a remainder of 47.
The number 4 becomes the next digit in our result. 
Result so far: 114.0
If we take 304 away from 351, we end up with 47.
Bring next digit (7) of the dividend behind the 47 and repeat the process: 477 / 76

Moving on to step 5:
If we divide 477 by 76, we get 6 and a remainder of 21.
Put 6 as the next digit of the answer. 
Result so far: 1146.0
The remainder is 21 after subtracting 456 from 477.
Include the next digit (7) from the dividend after 21, then repeat: 217 / 76

Step 6:
If we divide 217 by 76, we get 2 and a remainder of 65.
The next digit of our result is 2. 
Result so far: 11462.0
Subtracting 152 from 217 leaves us with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Going ahead to step 7:
650 divided by 76 is 8 with a remainder of 42.
The next digit of our result is 8. 
Result so far: 11462.8
Deduct 608 from 650 and we're left with 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 8:
The number 76 fits into 420 5 times, leaving a remainder of 40.
Use 5 as the next digit of our solution. 
Result so far: 11462.85
Subtracting 380 from 420 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.

Going ahead to step 9:
When dividing 400 by 76, we get 5 with a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 11462.855
Subtracting 380 from 400 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

After the division, we end up with 11462.855 and a remainder of 0.002.