We're dividing 9976514 by 829 
The aim is to understand the frequency of 829 in 9976514.

Advancing to step 1:
If we divide 9 by 829, we get 0 and a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Bring next digit (9) of the dividend behind the 9 and repeat the process: 99 / 829

Step 2:
When dividing 99 by 829, we get 0 with a remainder of 99.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 99 leaves us with 99.
Append the next digit (7) from the dividend to 99 and continue with: 997 / 829

Advancing to step 3:
997 divided by 829 is 1 with a remainder of 168.
The next digit of our result is 1. 
Result so far: 1.0
If we take 829 away from 997, we end up with 168.
Include the next digit (6) from the dividend after 168, then repeat: 1686 / 829

Advancing to step 4:
829 goes into 1686 2 times with a remainder of 28.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
If we take 1658 away from 1686, we end up with 28.
Fetch the next digit (5) from the dividend, attach it to 28 and continue: 285 / 829

Step 5:
The number 829 fits into 285 0 times, leaving a remainder of 285.
Record the quotient 0 as the next digit in the result. 
Result so far: 120.0
The remainder is 285 after subtracting 0 from 285.
Include the next digit (1) from the dividend after 285, then repeat: 2851 / 829

Let's proceed to step 6:
The number 829 fits into 2851 3 times, leaving a remainder of 364.
Use 3 as the next digit of our solution. 
Result so far: 1203.0
If we take 2487 away from 2851, we end up with 364.
Take the next digit (4) from the dividend and append it to 364, then repeat: 3644 / 829

Going ahead to step 7:
829 goes into 3644 4 times with a remainder of 328.
Use 4 as the next digit of our solution. 
Result so far: 12034.0
If we subtract 3316 from 3644, we get 328.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3280, and continue the process.

Step 8:
When dividing 3280 by 829, we get 3 with a remainder of 793.
The next digit of our result is 3. 
Result so far: 12034.3
Subtract 2487 from 3280 to get 793.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7930, and continue the process.

Advancing to step 9:
829 can be fit into 7930 9 times, resulting in a remainder of 469.
Use 9 as the next digit of our solution. 
Result so far: 12034.39
If we take 7461 away from 7930, we end up with 469.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4690, and continue the process.

On to step 10:
When dividing 4690 by 829, we get 5 with a remainder of 545.
The next digit of our result is 5. 
Result so far: 12034.395
Subtracting 4145 from 4690 leaves us with 545.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5450, and continue the process.

Advancing to step 11:
If we divide 5450 by 829, we get 6 and a remainder of 476.
Put 6 as the next digit of the answer. 
Result so far: 12034.3956
If we take 4974 away from 5450, we end up with 476.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4760, and continue the process.

On to step 12:
When dividing 4760 by 829, we get 5 with a remainder of 615.
The number 5 becomes the next digit in our result. 
Result so far: 12034.39565
If we subtract 4145 from 4760, we get 615.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6150, and continue the process.

Step 13:
The number 829 fits into 6150 7 times, leaving a remainder of 347.
Use 7 as the next digit of our solution. 
Result so far: 12034.395657
If we subtract 5803 from 6150, we get 347.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3470, and continue the process.

Going ahead to step 14:
The number 829 fits into 3470 4 times, leaving a remainder of 154.
The next digit of our result is 4. 
Result so far: 12034.3956574
If we subtract 3316 from 3470, we get 154.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1540, and continue the process.

Moving on to step 15:
829 can be fit into 1540 1 times, resulting in a remainder of 711.
The next digit of our result is 1. 
Result so far: 12034.39565741
Subtracting 829 from 1540 leaves us with 711.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7110, and continue the process.

After the division, we end up with 12034.39565741 and a remainder of 7.11e-07.