We look at the division of 971081 by 41 
The aim is to understand the frequency of 41 in 971081.

Going ahead to step 1:
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: 0.0
Subtracting 0 from 9 leaves us with 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 41

Moving on to step 2:
The number 41 fits into 97 2 times, leaving a remainder of 15.
Put 2 as the next digit of the answer. 
Result so far: 2.0
The remainder is 15 after subtracting 82 from 97.
Take the next digit (1) from the dividend and append it to 15, then repeat: 151 / 41

Advancing to step 3:
If we divide 151 by 41, we get 3 and a remainder of 28.
Write down 3 as next digit of the result. 
Result so far: 23.0
Deduct 123 from 151 and we're left with 28.
Take the next digit (0) from the dividend and append it to 28, then repeat: 280 / 41

Advancing to step 4:
280 divided by 41 is 6 with a remainder of 34.
Write down 6 as next digit of the result. 
Result so far: 236.0
The remainder is 34 after subtracting 246 from 280.
Grab the next digit (8) from the dividend, add it to 34, then carry on: 348 / 41

Step 5:
The number 41 fits into 348 8 times, leaving a remainder of 20.
The next digit of our result is 8. 
Result so far: 2368.0
If we take 328 away from 348, we end up with 20.
Fetch the next digit (1) from the dividend, attach it to 20 and continue: 201 / 41

Moving on to step 6:
If we divide 201 by 41, we get 4 and a remainder of 37.
Record the quotient 4 as the next digit in the result. 
Result so far: 23684.0
Deduct 164 from 201 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Going ahead to step 7:
The number 41 fits into 370 9 times, leaving a remainder of 1.
The next digit of our result is 9. 
Result so far: 23684.9
If we subtract 369 from 370, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 8:
The number 41 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 23684.9
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 9:
The number 41 fits into 100 2 times, leaving a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 23684.902
Subtracting 82 from 100 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 10:
41 can be fit into 180 4 times, resulting in a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 23684.9024
The remainder is 16 after subtracting 164 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 11:
41 goes into 160 3 times with a remainder of 37.
Put 3 as the next digit of the answer. 
Result so far: 23684.90243
If we subtract 123 from 160, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Going ahead to step 12:
41 can be fit into 370 9 times, resulting in a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 23684.902439
The remainder is 1 after subtracting 369 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 13:
If we divide 10 by 41, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 23684.902439
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 14:
100 divided by 41 is 2 with a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 23684.90243902
Subtract 82 from 100 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

In conclusion, the division gives 23684.90243902 with a balance of 1.8e-08.