We look at the division of 469403 by 41 
The aim is to understand the frequency of 41 in 469403.

Advancing to step 1:
When dividing 4 by 41, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 41

Going ahead to step 2:
41 goes into 46 1 times with a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 41 from 46 and we're left with 5.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 41

Moving on to step 3:
59 divided by 41 is 1 with a remainder of 18.
The next digit of our result is 1. 
Result so far: 11.0
If we take 41 away from 59, we end up with 18.
Fetch the next digit (4) from the dividend, attach it to 18 and continue: 184 / 41

On to step 4:
41 goes into 184 4 times with a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 114.0
Subtract 164 from 184 to get 20.
Grab the next digit (0) from the dividend, add it to 20, then carry on: 200 / 41

Step 5:
When dividing 200 by 41, we get 4 with a remainder of 36.
The next digit of our result is 4. 
Result so far: 1144.0
Subtract 164 from 200 to get 36.
Fetch the next digit (3) from the dividend, attach it to 36 and continue: 363 / 41

Advancing to step 6:
41 can be fit into 363 8 times, resulting in a remainder of 35.
Record the quotient 8 as the next digit in the result. 
Result so far: 11448.0
The remainder is 35 after subtracting 328 from 363.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 7:
When dividing 350 by 41, we get 8 with a remainder of 22.
Write down 8 as next digit of the result. 
Result so far: 11448.8
Deduct 328 from 350 and we're left 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 8:
41 can be fit into 220 5 times, resulting in a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 11448.85
The remainder is 15 after subtracting 205 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 9:
The number 41 fits into 150 3 times, leaving a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 11448.853
If we take 123 away from 150, we end up 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.

Step 10:
270 divided by 41 is 6 with a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 11448.8536
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.

Step 11:
240 divided by 41 is 5 with a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 11448.85365
If we subtract 205 from 240, we 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.

Let's proceed to step 12:
350 divided by 41 is 8 with a remainder of 22.
Put 8 as the next digit of the answer. 
Result so far: 11448.853658
If we take 328 away from 350, we end up 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.

Step 13:
When dividing 220 by 41, we get 5 with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 11448.8536585
Subtracting 205 from 220 leaves us 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 14:
150 divided by 41 is 3 with a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 11448.85365853
Deduct 123 from 150 and we're left 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.

Our division results in 11448.85365853 with a remaining 2.7e-08.