829104 divided by 41 
The aim is to understand the frequency of 41 in 829104.

Let's proceed to step 1:
41 can be fit into 8 0 times, resulting in a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Bring next digit (2) of the dividend behind the 8 and repeat the process: 82 / 41

Going ahead to step 2:
The number 41 fits into 82 2 times, leaving a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtracting 82 from 82 leaves us with 0.
Append the next digit (9) from the dividend to 0 and continue with: 9 / 41

Let's proceed to step 3:
41 can be fit into 9 0 times, resulting in a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 20.0
If we take 0 away from 9, we end up with 9.
Take the next digit (1) from the dividend and append it to 9, then repeat: 91 / 41

Let's proceed to step 4:
91 divided by 41 is 2 with a remainder of 9.
Put 2 as the next digit of the answer. 
Result so far: 202.0
Subtract 82 from 91 to get 9.
Fetch the next digit (0) from the dividend, attach it to 9 and continue: 90 / 41

Let's proceed to step 5:
The number 41 fits into 90 2 times, leaving a remainder of 8.
The next digit of our result is 2. 
Result so far: 2022.0
Subtracting 82 from 90 leaves us with 8.
Append the next digit (4) from the dividend to 8 and continue with: 84 / 41

Going ahead to step 6:
The number 41 fits into 84 2 times, leaving a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 20222.0
Deduct 82 from 84 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
The number 41 fits into 20 0 times, leaving a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 20222.0
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 8:
41 goes into 200 4 times with a remainder of 36.
Put 4 as the next digit of the answer. 
Result so far: 20222.04
If we subtract 164 from 200, we 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.

On to step 9:
41 can be fit into 360 8 times, resulting in a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 20222.048
Deduct 328 from 360 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 10:
320 divided by 41 is 7 with a remainder of 33.
Use 7 as the next digit of our solution. 
Result so far: 20222.0487
Subtracting 287 from 320 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 11:
If we divide 330 by 41, we get 8 and a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 20222.04878
Subtracting 328 from 330 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 12:
When dividing 20 by 41, we get 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 20222.04878
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 13:
When dividing 200 by 41, we get 4 with a remainder of 36.
The next digit of our result is 4. 
Result so far: 20222.0487804
If we subtract 164 from 200, we 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.

Step 14:
When dividing 360 by 41, we get 8 with a remainder of 32.
The next digit of our result is 8. 
Result so far: 20222.04878048
Subtracting 328 from 360 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final outcome is 20222.04878048, with a leftover of 3.2e-08.