78434879 ÷ 825 
The aim is to understand the frequency of 825 in 78434879.

Step 1:
825 can be fit into 7 0 times, resulting in a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Take the next digit (8) from the dividend and append it to 7, then repeat: 78 / 825

Step 2:
The number 825 fits into 78 0 times, leaving a remainder of 78.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 78 to get 78.
Fetch the next digit (4) from the dividend, attach it to 78 and continue: 784 / 825

Moving on to step 3:
When dividing 784 by 825, we get 0 with a remainder of 784.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 784, we end up with 784.
Fetch the next digit (3) from the dividend, attach it to 784 and continue: 7843 / 825

On to step 4:
When dividing 7843 by 825, we get 9 with a remainder of 418.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
The remainder is 418 after subtracting 7425 from 7843.
Include the next digit (4) from the dividend after 418, then repeat: 4184 / 825

Advancing to step 5:
825 can be fit into 4184 5 times, resulting in a remainder of 59.
Write down 5 as next digit of the result. 
Result so far: 95.0
If we take 4125 away from 4184, we end up with 59.
Take the next digit (8) from the dividend and append it to 59, then repeat: 598 / 825

Going ahead to step 6:
The number 825 fits into 598 0 times, leaving a remainder of 598.
Record the quotient 0 as the next digit in the result. 
Result so far: 950.0
Deduct 0 from 598 and we're left with 598.
Append the next digit (7) from the dividend to 598 and continue with: 5987 / 825

Advancing to step 7:
When dividing 5987 by 825, we get 7 with a remainder of 212.
Write down 7 as next digit of the result. 
Result so far: 9507.0
The remainder is 212 after subtracting 5775 from 5987.
Append the next digit (9) from the dividend to 212 and continue with: 2129 / 825

Advancing to step 8:
825 can be fit into 2129 2 times, resulting in a remainder of 479.
The number 2 becomes the next digit in our result. 
Result so far: 95072.0
If we take 1650 away from 2129, we end up with 479.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4790, and continue the process.

Advancing to step 9:
4790 divided by 825 is 5 with a remainder of 665.
Use 5 as the next digit of our solution. 
Result so far: 95072.5
Subtract 4125 from 4790 to get 665.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6650, and continue the process.

Moving on to step 10:
825 goes into 6650 8 times with a remainder of 50.
The number 8 becomes the next digit in our result. 
Result so far: 95072.58
If we subtract 6600 from 6650, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 11:
825 can be fit into 500 0 times, resulting in a remainder of 500.
Put 0 as the next digit of the answer. 
Result so far: 95072.58
If we subtract 0 from 500, we 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.

Advancing to step 12:
5000 divided by 825 is 6 with a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 95072.5806
Subtract 4950 from 5000 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 13:
The number 825 fits into 500 0 times, leaving a remainder of 500.
Use 0 as the next digit of our solution. 
Result so far: 95072.5806
Deduct 0 from 500 and we're left with 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5000, and continue the process.

Let's proceed to step 14:
The number 825 fits into 5000 6 times, leaving a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 95072.580606
The remainder is 50 after subtracting 4950 from 5000.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 15:
When dividing 500 by 825, we get 0 with a remainder of 500.
Use 0 as the next digit of our solution. 
Result so far: 95072.580606
Deduct 0 from 500 and we're left with 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 16:
825 goes into 5000 6 times with a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 95072.58060606
Subtract 4950 from 5000 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The final result is 95072.58060606 with a remainder of 5e-08.