We're dividing 564601 by 19 
The aim is to understand the frequency of 19 in 564601.

Step 1:
5 divided by 19 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 19

Step 2:
If we divide 56 by 19, we get 2 and a remainder of 18.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 18 after subtracting 38 from 56.
Append the next digit (4) from the dividend to 18 and continue with: 184 / 19

On to step 3:
If we divide 184 by 19, we get 9 and a remainder of 13.
Record the quotient 9 as the next digit in the result. 
Result so far: 29.0
If we subtract 171 from 184, we get 13.
Take the next digit (6) from the dividend and append it to 13, then repeat: 136 / 19

Let's proceed to step 4:
136 divided by 19 is 7 with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 297.0
The remainder is 3 after subtracting 133 from 136.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 19

Advancing to step 5:
The number 19 fits into 30 1 times, leaving a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 2971.0
If we take 19 away from 30, we end up with 11.
Grab the next digit (1) from the dividend, add it to 11, then carry on: 111 / 19

Step 6:
When dividing 111 by 19, we get 5 with a remainder of 16.
Write down 5 as next digit of the result. 
Result so far: 29715.0
If we take 95 away from 111, we end up 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.

Advancing to step 7:
19 goes into 160 8 times with a remainder of 8.
The next digit of our result is 8. 
Result so far: 29715.8
Subtract 152 from 160 to get 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 8:
19 can be fit into 80 4 times, resulting in a remainder of 4.
The next digit of our result is 4. 
Result so far: 29715.84
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.

Advancing to step 9:
When dividing 40 by 19, we get 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 29715.842
If we take 38 away from 40, we end up 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.

Going ahead to step 10:
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: 29715.8421
Deduct 19 from 20 and we're left 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.

Advancing to step 11:
If we divide 10 by 19, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 29715.8421
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.

Step 12:
19 can be fit into 100 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 29715.842105
Subtracting 95 from 100 leaves us 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 13:
19 goes into 50 2 times with a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 29715.8421052
Subtracting 38 from 50 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.

Step 14:
If we divide 120 by 19, we get 6 and a remainder of 6.
The next digit of our result is 6. 
Result so far: 29715.84210526
Deduct 114 from 120 and we're left 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.

In conclusion, the division gives 29715.84210526 with a balance of 6e-09.