We look at the division of 876824 by 76 
We want to figure out the number of times 876824 can be divided by 76.

Step 1:
When dividing 8 by 76, we get 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 76

Let's proceed to step 2:
When dividing 87 by 76, we get 1 with a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 76 from 87 to get 11.
Bring next digit (6) of the dividend behind the 11 and repeat the process: 116 / 76

On to step 3:
When dividing 116 by 76, we get 1 with a remainder of 40.
The next digit of our result is 1. 
Result so far: 11.0
Subtract 76 from 116 to get 40.
Bring next digit (8) of the dividend behind the 40 and repeat the process: 408 / 76

On to step 4:
If we divide 408 by 76, we get 5 and a remainder of 28.
The next digit of our result is 5. 
Result so far: 115.0
The remainder is 28 after subtracting 380 from 408.
Include the next digit (2) from the dividend after 28, then repeat: 282 / 76

Moving on to step 5:
76 can be fit into 282 3 times, resulting in a remainder of 54.
The number 3 becomes the next digit in our result. 
Result so far: 1153.0
If we take 228 away from 282, we end up with 54.
Include the next digit (4) from the dividend after 54, then repeat: 544 / 76

Step 6:
When dividing 544 by 76, we get 7 with a remainder of 12.
Use 7 as the next digit of our solution. 
Result so far: 11537.0
If we subtract 532 from 544, 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.

Step 7:
76 can be fit into 120 1 times, resulting in a remainder of 44.
The number 1 becomes the next digit in our result. 
Result so far: 11537.1
The remainder is 44 after subtracting 76 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 8:
76 can be fit into 440 5 times, resulting in a remainder of 60.
The number 5 becomes the next digit in our result. 
Result so far: 11537.15
If we subtract 380 from 440, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 9:
76 goes into 600 7 times with a remainder of 68.
Record the quotient 7 as the next digit in the result. 
Result so far: 11537.157
Subtracting 532 from 600 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Advancing to step 10:
680 divided by 76 is 8 with a remainder of 72.
The next digit of our result is 8. 
Result so far: 11537.1578
If we take 608 away from 680, we end up with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 11:
The number 76 fits into 720 9 times, leaving a remainder of 36.
The next digit of our result is 9. 
Result so far: 11537.15789
Subtract 684 from 720 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 12:
If we divide 360 by 76, we get 4 and a remainder of 56.
Use 4 as the next digit of our solution. 
Result so far: 11537.157894
Subtracting 304 from 360 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 13:
76 can be fit into 560 7 times, resulting in a remainder of 28.
Put 7 as the next digit of the answer. 
Result so far: 11537.1578947
Subtract 532 from 560 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 14:
If we divide 280 by 76, we get 3 and a remainder of 52.
Put 3 as the next digit of the answer. 
Result so far: 11537.15789473
If we take 228 away from 280, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

The final result is 11537.15789473 with a remainder of 5.2e-08.