501945 ÷ 19 
The aim is to understand the frequency of 19 in 501945.

On to step 1:
5 divided by 19 is 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 19

Moving on to step 2:
50 divided by 19 is 2 with a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 38 from 50 to get 12.
Take the next digit (1) from the dividend and append it to 12, then repeat: 121 / 19

Step 3:
19 goes into 121 6 times with a remainder of 7.
Write down 6 as next digit of the result. 
Result so far: 26.0
Deduct 114 from 121 and we're left with 7.
Fetch the next digit (9) from the dividend, attach it to 7 and continue: 79 / 19

Let's proceed to step 4:
The number 19 fits into 79 4 times, leaving a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 264.0
If we subtract 76 from 79, we get 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 19

Moving on to step 5:
If we divide 34 by 19, we get 1 and a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 2641.0
Deduct 19 from 34 and we're left with 15.
Append the next digit (5) from the dividend to 15 and continue with: 155 / 19

Step 6:
The number 19 fits into 155 8 times, leaving a remainder of 3.
Write down 8 as next digit of the result. 
Result so far: 26418.0
If we subtract 152 from 155, we 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.

Advancing to step 7:
The number 19 fits into 30 1 times, leaving a remainder of 11.
The next digit of our result is 1. 
Result so far: 26418.1
The remainder is 11 after subtracting 19 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 8:
When dividing 110 by 19, we get 5 with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 26418.15
Subtracting 95 from 110 leaves us 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.

On to step 9:
The number 19 fits into 150 7 times, leaving a remainder of 17.
Write down 7 as next digit of the result. 
Result so far: 26418.157
Deduct 133 from 150 and we're left 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.

Let's proceed to step 10:
When dividing 170 by 19, we get 8 with a remainder of 18.
Put 8 as the next digit of the answer. 
Result so far: 26418.1578
The remainder is 18 after subtracting 152 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 11:
19 goes into 180 9 times with a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 26418.15789
If we take 171 away from 180, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 12:
19 goes into 90 4 times with a remainder of 14.
Write down 4 as next digit of the result. 
Result so far: 26418.157894
If we subtract 76 from 90, 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.

Let's proceed to step 13:
The number 19 fits into 140 7 times, leaving a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 26418.1578947
Subtracting 133 from 140 leaves us with 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 14:
19 goes into 70 3 times with a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 26418.15789473
Subtract 57 from 70 to 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.

The final outcome is 26418.15789473, with a leftover of 1.3e-08.