We're dividing 419341 by 41 
The aim is to understand the frequency of 41 in 419341.

Going ahead to step 1:
The number 41 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 41

Going ahead to step 2:
If we divide 41 by 41, we get 1 and a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 41 from 41 leaves us with 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 41

Let's proceed to step 3:
The number 41 fits into 9 0 times, leaving a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we subtract 0 from 9, we get 9.
Bring next digit (3) of the dividend behind the 9 and repeat the process: 93 / 41

Let's proceed to step 4:
93 divided by 41 is 2 with a remainder of 11.
Write down 2 as next digit of the result. 
Result so far: 102.0
If we subtract 82 from 93, we get 11.
Include the next digit (4) from the dividend after 11, then repeat: 114 / 41

Going ahead to step 5:
114 divided by 41 is 2 with a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 1022.0
If we take 82 away from 114, we end up with 32.
Include the next digit (1) from the dividend after 32, then repeat: 321 / 41

Step 6:
When dividing 321 by 41, we get 7 with a remainder of 34.
Record the quotient 7 as the next digit in the result. 
Result so far: 10227.0
If we take 287 away from 321, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 7:
The number 41 fits into 340 8 times, leaving a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 10227.8
The remainder is 12 after subtracting 328 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 8:
The number 41 fits into 120 2 times, leaving a remainder of 38.
Use 2 as the next digit of our solution. 
Result so far: 10227.82
The remainder is 38 after subtracting 82 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 9:
The number 41 fits into 380 9 times, leaving a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 10227.829
The remainder is 11 after subtracting 369 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 10:
110 divided by 41 is 2 with a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 10227.8292
If we subtract 82 from 110, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 11:
41 can be fit into 280 6 times, resulting in a remainder of 34.
Put 6 as the next digit of the answer. 
Result so far: 10227.82926
The remainder is 34 after subtracting 246 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 12:
340 divided by 41 is 8 with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 10227.829268
Subtracting 328 from 340 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 13:
120 divided by 41 is 2 with a remainder of 38.
Write down 2 as next digit of the result. 
Result so far: 10227.8292682
Subtracting 82 from 120 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 14:
The number 41 fits into 380 9 times, leaving a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 10227.82926829
If we take 369 away from 380, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The quotient of the division is 10227.82926829, and the remainder is 1.1e-08.