509562 divided by 19 
The aim is to understand the frequency of 19 in 509562.

Going ahead to step 1:
When dividing 5 by 19, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 19

On to step 2:
If we divide 50 by 19, we get 2 and a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 2.0
The remainder is 12 after subtracting 38 from 50.
Grab the next digit (9) from the dividend, add it to 12, then carry on: 129 / 19

Moving on to step 3:
129 divided by 19 is 6 with a remainder of 15.
The number 6 becomes the next digit in our result. 
Result so far: 26.0
Deduct 114 from 129 and we're left with 15.
Take the next digit (5) from the dividend and append it to 15, then repeat: 155 / 19

Moving on to step 4:
155 divided by 19 is 8 with a remainder of 3.
The next digit of our result is 8. 
Result so far: 268.0
If we take 152 away from 155, we end up with 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 19

Step 5:
19 goes into 36 1 times with a remainder of 17.
Put 1 as the next digit of the answer. 
Result so far: 2681.0
Subtract 19 from 36 to get 17.
Fetch the next digit (2) from the dividend, attach it to 17 and continue: 172 / 19

On to step 6:
19 goes into 172 9 times with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 26819.0
Subtracting 171 from 172 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.

Let's proceed to step 7:
19 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 26819.0
If we subtract 0 from 10, 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.

Advancing to step 8:
19 can be fit into 100 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 26819.05
Deduct 95 from 100 and we're left 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.

Let's proceed to step 9:
50 divided by 19 is 2 with a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 26819.052
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.

Moving on to step 10:
If we divide 120 by 19, we get 6 and a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 26819.0526
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.

Moving on to step 11:
When dividing 60 by 19, we get 3 with a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 26819.05263
The remainder is 3 after subtracting 57 from 60.
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 12:
When dividing 30 by 19, we get 1 with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 26819.052631
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.

Advancing to step 13:
If we divide 110 by 19, we get 5 and a remainder of 15.
The next digit of our result is 5. 
Result so far: 26819.0526315
The remainder is 15 after subtracting 95 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 14:
19 can be fit into 150 7 times, resulting in a remainder of 17.
Record the quotient 7 as the next digit in the result. 
Result so far: 26819.05263157
Subtracting 133 from 150 leaves us 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.

The quotient of the division is 26819.05263157, and the remainder is 1.7e-08.