We look at the division of 171033 by 41 
The aim is to understand the frequency of 41 in 171033.

On to step 1:
41 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 41

Moving on to step 2:
41 can be fit into 17 0 times, resulting in a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 17, we get 17.
Bring next digit (1) of the dividend behind the 17 and repeat the process: 171 / 41

Moving on to step 3:
The number 41 fits into 171 4 times, leaving a remainder of 7.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtracting 164 from 171 leaves us with 7.
Take the next digit (0) from the dividend and append it to 7, then repeat: 70 / 41

Step 4:
If we divide 70 by 41, we get 1 and a remainder of 29.
The next digit of our result is 1. 
Result so far: 41.0
If we subtract 41 from 70, we get 29.
Include the next digit (3) from the dividend after 29, then repeat: 293 / 41

Advancing to step 5:
293 divided by 41 is 7 with a remainder of 6.
The next digit of our result is 7. 
Result so far: 417.0
Subtract 287 from 293 to get 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 41

Let's proceed to step 6:
When dividing 63 by 41, we get 1 with a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 4171.0
The remainder is 22 after subtracting 41 from 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 7:
The number 41 fits into 220 5 times, leaving a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 4171.5
If we take 205 away from 220, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 8:
If we divide 150 by 41, we get 3 and a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 4171.53
Subtracting 123 from 150 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 9:
If we divide 270 by 41, we get 6 and a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 4171.536
Subtracting 246 from 270 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 10:
41 can be fit into 240 5 times, resulting in a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 4171.5365
Subtract 205 from 240 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 11:
41 can be fit into 350 8 times, resulting in a remainder of 22.
Write down 8 as next digit of the result. 
Result so far: 4171.53658
Subtracting 328 from 350 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 12:
When dividing 220 by 41, we get 5 with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 4171.536585
If we subtract 205 from 220, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 13:
If we divide 150 by 41, we get 3 and a remainder of 27.
Write down 3 as next digit of the result. 
Result so far: 4171.5365853
If we subtract 123 from 150, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 14:
When dividing 270 by 41, we get 6 with a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 4171.53658536
If we take 246 away from 270, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

After the division, we end up with 4171.53658536 and a remainder of 2.4e-08.