We're dividing 519442 by 41 
The aim is to understand the frequency of 41 in 519442.

Going ahead to step 1:
The number 41 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 41

Advancing to step 2:
If we divide 51 by 41, we get 1 and a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 10 after subtracting 41 from 51.
Fetch the next digit (9) from the dividend, attach it to 10 and continue: 109 / 41

Advancing to step 3:
If we divide 109 by 41, we get 2 and a remainder of 27.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
If we take 82 away from 109, we end up with 27.
Append the next digit (4) from the dividend to 27 and continue with: 274 / 41

Let's proceed to step 4:
If we divide 274 by 41, we get 6 and a remainder of 28.
Use 6 as the next digit of our solution. 
Result so far: 126.0
The remainder is 28 after subtracting 246 from 274.
Bring next digit (4) of the dividend behind the 28 and repeat the process: 284 / 41

Moving on to step 5:
When dividing 284 by 41, we get 6 with a remainder of 38.
The number 6 becomes the next digit in our result. 
Result so far: 1266.0
Deduct 246 from 284 and we're left with 38.
Bring next digit (2) of the dividend behind the 38 and repeat the process: 382 / 41

Advancing to step 6:
If we divide 382 by 41, we get 9 and a remainder of 13.
Put 9 as the next digit of the answer. 
Result so far: 12669.0
The remainder is 13 after subtracting 369 from 382.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 7:
If we divide 130 by 41, we get 3 and a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 12669.3
Subtracting 123 from 130 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 8:
When dividing 70 by 41, we get 1 with a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 12669.31
Subtracting 41 from 70 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 9:
The number 41 fits into 290 7 times, leaving a remainder of 3.
The next digit of our result is 7. 
Result so far: 12669.317
Subtracting 287 from 290 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 10:
The number 41 fits into 30 0 times, leaving a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 12669.317
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 11:
300 divided by 41 is 7 with a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 12669.31707
The remainder is 13 after subtracting 287 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 12:
The number 41 fits into 130 3 times, leaving a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 12669.317073
Subtract 123 from 130 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 13:
The number 41 fits into 70 1 times, leaving a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 12669.3170731
If we take 41 away from 70, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 14:
If we divide 290 by 41, we get 7 and a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 12669.31707317
If we take 287 away from 290, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The quotient of the division is 12669.31707317, and the remainder is 3e-09.