We look at the division of 7708592 by 876 
Let's see how many times 876 fits into 7708592.

Advancing to step 1:
The number 876 fits into 7 0 times, leaving a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 876

Going ahead to step 2:
876 goes into 77 0 times with a remainder of 77.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 77 leaves us with 77.
Include the next digit (0) from the dividend after 77, then repeat: 770 / 876

Moving on to step 3:
The number 876 fits into 770 0 times, leaving a remainder of 770.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 770, we get 770.
Append the next digit (8) from the dividend to 770 and continue with: 7708 / 876

On to step 4:
When dividing 7708 by 876, we get 8 with a remainder of 700.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
The remainder is 700 after subtracting 7008 from 7708.
Append the next digit (5) from the dividend to 700 and continue with: 7005 / 876

On to step 5:
7005 divided by 876 is 7 with a remainder of 873.
Put 7 as the next digit of the answer. 
Result so far: 87.0
The remainder is 873 after subtracting 6132 from 7005.
Bring next digit (9) of the dividend behind the 873 and repeat the process: 8739 / 876

Let's proceed to step 6:
When dividing 8739 by 876, we get 9 with a remainder of 855.
Write down 9 as next digit of the result. 
Result so far: 879.0
If we subtract 7884 from 8739, we get 855.
Append the next digit (2) from the dividend to 855 and continue with: 8552 / 876

Let's proceed to step 7:
876 goes into 8552 9 times with a remainder of 668.
Use 9 as the next digit of our solution. 
Result so far: 8799.0
The remainder is 668 after subtracting 7884 from 8552.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6680, and continue the process.

Let's proceed to step 8:
When dividing 6680 by 876, we get 7 with a remainder of 548.
The number 7 becomes the next digit in our result. 
Result so far: 8799.7
The remainder is 548 after subtracting 6132 from 6680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5480, and continue the process.

Advancing to step 9:
When dividing 5480 by 876, we get 6 with a remainder of 224.
The next digit of our result is 6. 
Result so far: 8799.76
If we take 5256 away from 5480, we end up with 224.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2240, and continue the process.

Let's proceed to step 10:
2240 divided by 876 is 2 with a remainder of 488.
The number 2 becomes the next digit in our result. 
Result so far: 8799.762
If we subtract 1752 from 2240, we get 488.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4880, and continue the process.

On to step 11:
When dividing 4880 by 876, we get 5 with a remainder of 500.
Use 5 as the next digit of our solution. 
Result so far: 8799.7625
Subtract 4380 from 4880 to get 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5000, and continue the process.

Step 12:
876 goes into 5000 5 times with a remainder of 620.
Put 5 as the next digit of the answer. 
Result so far: 8799.76255
Deduct 4380 from 5000 and we're left with 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6200, and continue the process.

Our division results in 8799.76255 with a remaining 0.00062.