612321 ÷ 19 
The aim is to understand the frequency of 19 in 612321.

Step 1:
When dividing 6 by 19, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 19

Step 2:
If we divide 61 by 19, we get 3 and a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 57 from 61 leaves us with 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 19

On to step 3:
If we divide 42 by 19, we get 2 and a remainder of 4.
The next digit of our result is 2. 
Result so far: 32.0
Subtracting 38 from 42 leaves us with 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 19

On to step 4:
The number 19 fits into 43 2 times, leaving a remainder of 5.
Record the quotient 2 as the next digit in the result. 
Result so far: 322.0
Subtracting 38 from 43 leaves us with 5.
Append the next digit (2) from the dividend to 5 and continue with: 52 / 19

Advancing to step 5:
The number 19 fits into 52 2 times, leaving a remainder of 14.
Write down 2 as next digit of the result. 
Result so far: 3222.0
If we take 38 away from 52, we end up with 14.
Bring next digit (1) of the dividend behind the 14 and repeat the process: 141 / 19

Let's proceed to step 6:
19 can be fit into 141 7 times, resulting in a remainder of 8.
The next digit of our result is 7. 
Result so far: 32227.0
If we take 133 away from 141, 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.

Let's proceed to step 7:
The number 19 fits into 80 4 times, leaving a remainder of 4.
The next digit of our result is 4. 
Result so far: 32227.4
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.

On to step 8:
The number 19 fits into 40 2 times, leaving a remainder of 2.
The next digit of our result is 2. 
Result so far: 32227.42
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.

Advancing to step 9:
When dividing 20 by 19, we get 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 32227.421
The remainder is 1 after subtracting 19 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 10:
19 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 32227.421
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.

Step 11:
The number 19 fits into 100 5 times, leaving a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 32227.42105
If we subtract 95 from 100, we 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.

On to step 12:
19 goes into 50 2 times with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 32227.421052
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.

On to step 13:
19 goes into 120 6 times with a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 32227.4210526
If we subtract 114 from 120, we 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.

On to step 14:
If we divide 60 by 19, we get 3 and a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 32227.42105263
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.

Our division results in 32227.42105263 with a remaining 3e-09.