971569 divided by 41 
The aim is to understand the frequency of 41 in 971569.

Advancing to step 1:
When dividing 9 by 41, we get 0 with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Bring next digit (7) of the dividend behind the 9 and repeat the process: 97 / 41

Advancing to step 2:
When dividing 97 by 41, we get 2 with a remainder of 15.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we take 82 away from 97, we end up with 15.
Include the next digit (1) from the dividend after 15, then repeat: 151 / 41

Let's proceed to step 3:
41 can be fit into 151 3 times, resulting in a remainder of 28.
Put 3 as the next digit of the answer. 
Result so far: 23.0
Subtracting 123 from 151 leaves us with 28.
Include the next digit (5) from the dividend after 28, then repeat: 285 / 41

Let's proceed to step 4:
The number 41 fits into 285 6 times, leaving a remainder of 39.
The next digit of our result is 6. 
Result so far: 236.0
Subtract 246 from 285 to get 39.
Grab the next digit (6) from the dividend, add it to 39, then carry on: 396 / 41

Let's proceed to step 5:
41 can be fit into 396 9 times, resulting in a remainder of 27.
Use 9 as the next digit of our solution. 
Result so far: 2369.0
Deduct 369 from 396 and we're left with 27.
Append the next digit (9) from the dividend to 27 and continue with: 279 / 41

Advancing to step 6:
41 can be fit into 279 6 times, resulting in a remainder of 33.
Put 6 as the next digit of the answer. 
Result so far: 23696.0
Subtract 246 from 279 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 7:
When dividing 330 by 41, we get 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 23696.8
If we subtract 328 from 330, we get 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 8:
41 can be fit into 20 0 times, resulting in a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 23696.8
If we take 0 away from 20, we end up 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.

Moving on to step 9:
41 can be fit into 200 4 times, resulting in a remainder of 36.
Record the quotient 4 as the next digit in the result. 
Result so far: 23696.804
Deduct 164 from 200 and we're left with 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 10:
360 divided by 41 is 8 with a remainder of 32.
The next digit of our result is 8. 
Result so far: 23696.8048
If we subtract 328 from 360, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 11:
41 can be fit into 320 7 times, resulting in a remainder of 33.
Use 7 as the next digit of our solution. 
Result so far: 23696.80487
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.

Advancing to step 12:
The number 41 fits into 330 8 times, leaving a remainder of 2.
The next digit of our result is 8. 
Result so far: 23696.804878
If we take 328 away from 330, we end up 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 13:
20 divided by 41 is 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 23696.804878
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.

Going ahead to step 14:
The number 41 fits into 200 4 times, leaving a remainder of 36.
The next digit of our result is 4. 
Result so far: 23696.80487804
If we take 164 away from 200, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

In conclusion, the division gives 23696.80487804 with a balance of 3.6e-08.