We look at the division of 565321 by 19 
The aim is to understand the frequency of 19 in 565321.

Step 1:
19 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 19

Advancing to step 2:
19 goes into 56 2 times with a remainder of 18.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we subtract 38 from 56, we get 18.
Append the next digit (5) from the dividend to 18 and continue with: 185 / 19

Moving on to step 3:
19 can be fit into 185 9 times, resulting in a remainder of 14.
The next digit of our result is 9. 
Result so far: 29.0
Deduct 171 from 185 and we're left with 14.
Bring next digit (3) of the dividend behind the 14 and repeat the process: 143 / 19

Let's proceed to step 4:
19 can be fit into 143 7 times, resulting in a remainder of 10.
The next digit of our result is 7. 
Result so far: 297.0
The remainder is 10 after subtracting 133 from 143.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 19

Moving on to step 5:
The number 19 fits into 102 5 times, leaving a remainder of 7.
The next digit of our result is 5. 
Result so far: 2975.0
Subtract 95 from 102 to get 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 19

Advancing to step 6:
71 divided by 19 is 3 with a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 29753.0
If we subtract 57 from 71, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 7:
140 divided by 19 is 7 with a remainder of 7.
The next digit of our result is 7. 
Result so far: 29753.7
Subtract 133 from 140 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.

Moving on to step 8:
If we divide 70 by 19, we get 3 and a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 29753.73
If we subtract 57 from 70, we get 13.
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 9:
The number 19 fits into 130 6 times, leaving a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 29753.736
Subtracting 114 from 130 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 10:
When dividing 160 by 19, we get 8 with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 29753.7368
If we take 152 away from 160, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 11:
19 goes into 80 4 times with a remainder of 4.
The next digit of our result is 4. 
Result so far: 29753.73684
Deduct 76 from 80 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 12:
If we divide 40 by 19, we get 2 and a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 29753.736842
The remainder is 2 after subtracting 38 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 13:
When dividing 20 by 19, we get 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 29753.7368421
Subtracting 19 from 20 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 14:
19 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 29753.7368421
Subtract 0 from 10 to 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.

The quotient of the division is 29753.7368421, and the remainder is 1e-08.