We look at the division of 657865 by 41 
The aim is to understand the frequency of 41 in 657865.

Going ahead to step 1:
41 goes into 6 0 times with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 41

On to step 2:
The number 41 fits into 65 1 times, leaving a remainder of 24.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 41 from 65, we get 24.
Fetch the next digit (7) from the dividend, attach it to 24 and continue: 247 / 41

Step 3:
The number 41 fits into 247 6 times, leaving a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
If we take 246 away from 247, we end up with 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 41

On to step 4:
18 divided by 41 is 0 with a remainder of 18.
Record the quotient 0 as the next digit in the result. 
Result so far: 160.0
If we take 0 away from 18, we end up with 18.
Grab the next digit (6) from the dividend, add it to 18, then carry on: 186 / 41

Moving on to step 5:
41 can be fit into 186 4 times, resulting in a remainder of 22.
Use 4 as the next digit of our solution. 
Result so far: 1604.0
Deduct 164 from 186 and we're left with 22.
Bring next digit (5) of the dividend behind the 22 and repeat the process: 225 / 41

Moving on to step 6:
225 divided by 41 is 5 with a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 16045.0
Subtract 205 from 225 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 7:
200 divided by 41 is 4 with a remainder of 36.
Put 4 as the next digit of the answer. 
Result so far: 16045.4
The remainder is 36 after subtracting 164 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 8:
The number 41 fits into 360 8 times, leaving a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 16045.48
The remainder is 32 after subtracting 328 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 9:
If we divide 320 by 41, we get 7 and a remainder of 33.
The next digit of our result is 7. 
Result so far: 16045.487
Deduct 287 from 320 and we're left 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 10:
When dividing 330 by 41, we get 8 with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 16045.4878
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.

Step 11:
The number 41 fits into 20 0 times, leaving a remainder of 20.
The next digit of our result is 0. 
Result so far: 16045.4878
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 12:
When dividing 200 by 41, we get 4 with a remainder of 36.
The next digit of our result is 4. 
Result so far: 16045.487804
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.

Step 13:
41 goes into 360 8 times with a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 16045.4878048
Subtract 328 from 360 to 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.

On to step 14:
41 can be fit into 320 7 times, resulting in a remainder of 33.
Put 7 as the next digit of the answer. 
Result so far: 16045.48780487
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.

After the division, we end up with 16045.48780487 and a remainder of 3.3e-08.