We're dividing 105004 by 19 
The aim is to understand the frequency of 19 in 105004.

Let's proceed to step 1:
When dividing 1 by 19, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 19

Advancing to step 2:
When dividing 10 by 19, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Bring next digit (5) of the dividend behind the 10 and repeat the process: 105 / 19

On to step 3:
19 can be fit into 105 5 times, resulting in a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtracting 95 from 105 leaves us with 10.
Include the next digit (0) from the dividend after 10, then repeat: 100 / 19

Going ahead to step 4:
If we divide 100 by 19, we get 5 and a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 55.0
If we subtract 95 from 100, we get 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 19

On to step 5:
If we divide 50 by 19, we get 2 and a remainder of 12.
The next digit of our result is 2. 
Result so far: 552.0
Subtracting 38 from 50 leaves us with 12.
Take the next digit (4) from the dividend and append it to 12, then repeat: 124 / 19

On to step 6:
When dividing 124 by 19, we get 6 with a remainder of 10.
The next digit of our result is 6. 
Result so far: 5526.0
If we subtract 114 from 124, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
19 goes into 100 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 5526.5
Subtract 95 from 100 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
19 goes into 50 2 times with a remainder of 12.
The next digit of our result is 2. 
Result so far: 5526.52
Subtract 38 from 50 to get 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 9:
19 goes into 120 6 times with a remainder of 6.
The next digit of our result is 6. 
Result so far: 5526.526
Subtracting 114 from 120 leaves us with 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 10:
19 can be fit into 60 3 times, resulting in a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 5526.5263
Subtract 57 from 60 to get 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 11:
19 can be fit into 30 1 times, resulting in a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 5526.52631
If we subtract 19 from 30, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 12:
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: 5526.526315
If we take 95 away from 110, 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.

Going ahead to step 13:
19 goes into 150 7 times with a remainder of 17.
Write down 7 as next digit of the result. 
Result so far: 5526.5263157
If we take 133 away from 150, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 14:
The number 19 fits into 170 8 times, leaving a remainder of 18.
Write down 8 as next digit of the result. 
Result so far: 5526.52631578
If we subtract 152 from 170, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The final result is 5526.52631578 with a remainder of 1.8e-08.