We're dividing 99596689 by 825 
The aim is to understand the frequency of 825 in 99596689.

Step 1:
If we divide 9 by 825, we get 0 and a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Bring next digit (9) of the dividend behind the 9 and repeat the process: 99 / 825

Advancing to step 2:
99 divided by 825 is 0 with a remainder of 99.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 99 to get 99.
Fetch the next digit (5) from the dividend, attach it to 99 and continue: 995 / 825

Advancing to step 3:
When dividing 995 by 825, we get 1 with a remainder of 170.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 825 away from 995, we end up with 170.
Fetch the next digit (9) from the dividend, attach it to 170 and continue: 1709 / 825

Going ahead to step 4:
If we divide 1709 by 825, we get 2 and a remainder of 59.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Deduct 1650 from 1709 and we're left with 59.
Take the next digit (6) from the dividend and append it to 59, then repeat: 596 / 825

Moving on to step 5:
The number 825 fits into 596 0 times, leaving a remainder of 596.
The number 0 becomes the next digit in our result. 
Result so far: 120.0
If we take 0 away from 596, we end up with 596.
Append the next digit (6) from the dividend to 596 and continue with: 5966 / 825

Step 6:
When dividing 5966 by 825, we get 7 with a remainder of 191.
The next digit of our result is 7. 
Result so far: 1207.0
Subtract 5775 from 5966 to get 191.
Take the next digit (8) from the dividend and append it to 191, then repeat: 1918 / 825

Moving on to step 7:
825 goes into 1918 2 times with a remainder of 268.
The next digit of our result is 2. 
Result so far: 12072.0
Deduct 1650 from 1918 and we're left with 268.
Include the next digit (9) from the dividend after 268, then repeat: 2689 / 825

Step 8:
825 can be fit into 2689 3 times, resulting in a remainder of 214.
Use 3 as the next digit of our solution. 
Result so far: 120723.0
The remainder is 214 after subtracting 2475 from 2689.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2140, and continue the process.

Moving on to step 9:
The number 825 fits into 2140 2 times, leaving a remainder of 490.
The number 2 becomes the next digit in our result. 
Result so far: 120723.2
Subtracting 1650 from 2140 leaves us with 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4900, and continue the process.

On to step 10:
The number 825 fits into 4900 5 times, leaving a remainder of 775.
The next digit of our result is 5. 
Result so far: 120723.25
The remainder is 775 after subtracting 4125 from 4900.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7750, and continue the process.

Advancing to step 11:
When dividing 7750 by 825, we get 9 with a remainder of 325.
Put 9 as the next digit of the answer. 
Result so far: 120723.259
Deduct 7425 from 7750 and we're left with 325.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3250, and continue the process.

On to step 12:
3250 divided by 825 is 3 with a remainder of 775.
The number 3 becomes the next digit in our result. 
Result so far: 120723.2593
Subtracting 2475 from 3250 leaves us with 775.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7750, and continue the process.

Let's proceed to step 13:
825 goes into 7750 9 times with a remainder of 325.
Put 9 as the next digit of the answer. 
Result so far: 120723.25939
The remainder is 325 after subtracting 7425 from 7750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3250, and continue the process.

Let's proceed to step 14:
When dividing 3250 by 825, we get 3 with a remainder of 775.
Write down 3 as next digit of the result. 
Result so far: 120723.259393
Subtracting 2475 from 3250 leaves us with 775.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7750, and continue the process.

On to step 15:
The number 825 fits into 7750 9 times, leaving a remainder of 325.
The number 9 becomes the next digit in our result. 
Result so far: 120723.2593939
The remainder is 325 after subtracting 7425 from 7750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3250, and continue the process.

On to step 16:
When dividing 3250 by 825, we get 3 with a remainder of 775.
Write down 3 as next digit of the result. 
Result so far: 120723.25939393
Deduct 2475 from 3250 and we're left with 775.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7750, and continue the process.

After the division, we end up with 120723.25939393 and a remainder of 7.75e-07.