We look at the division of 413841 by 19 
The aim is to understand the frequency of 19 in 413841.

Step 1:
When dividing 4 by 19, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 19

Going ahead to step 2:
When dividing 41 by 19, we get 2 with a remainder of 3.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtracting 38 from 41 leaves us with 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 19

On to step 3:
19 goes into 33 1 times with a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 21.0
If we subtract 19 from 33, we get 14.
Take the next digit (8) from the dividend and append it to 14, then repeat: 148 / 19

Let's proceed to step 4:
When dividing 148 by 19, we get 7 with a remainder of 15.
Use 7 as the next digit of our solution. 
Result so far: 217.0
Subtracting 133 from 148 leaves us with 15.
Take the next digit (4) from the dividend and append it to 15, then repeat: 154 / 19

Going ahead to step 5:
19 goes into 154 8 times with a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 2178.0
The remainder is 2 after subtracting 152 from 154.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 19

Going ahead to step 6:
If we divide 21 by 19, we get 1 and a remainder of 2.
The next digit of our result is 1. 
Result so far: 21781.0
Deduct 19 from 21 and we're left 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 7:
19 can be fit into 20 1 times, resulting in a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 21781.1
Subtract 19 from 20 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 8:
10 divided by 19 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 21781.1
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
The number 19 fits into 100 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 21781.105
If we take 95 away from 100, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 10:
When dividing 50 by 19, we get 2 with a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 21781.1052
If we take 38 away from 50, we end up 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.

Let's proceed to step 11:
120 divided by 19 is 6 with a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 21781.10526
Subtract 114 from 120 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 12:
When dividing 60 by 19, we get 3 with a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 21781.105263
If we take 57 away from 60, 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.

Moving on to step 13:
When dividing 30 by 19, we get 1 with a remainder of 11.
The next digit of our result is 1. 
Result so far: 21781.1052631
Deduct 19 from 30 and we're left 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.

Let's proceed to step 14:
If we divide 110 by 19, we get 5 and a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 21781.10526315
If we subtract 95 from 110, 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.

Our division results in 21781.10526315 with a remaining 1.5e-08.