4110 ÷ 19 
The aim is to understand the frequency of 19 in 4110.

Step 1:
4 divided by 19 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 19

Advancing to step 2:
If we divide 41 by 19, we get 2 and a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtracting 38 from 41 leaves us with 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 19

On to step 3:
The number 19 fits into 31 1 times, leaving a remainder of 12.
Record the quotient 1 as the next digit in the result. 
Result so far: 21.0
Subtract 19 from 31 to get 12.
Append the next digit (0) from the dividend to 12 and continue with: 120 / 19

Step 4:
The number 19 fits into 120 6 times, leaving a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 216.0
If we take 114 away from 120, we end up 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.

Going ahead to step 5:
19 goes into 60 3 times with a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 216.3
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.

Let's proceed to step 6:
If we divide 30 by 19, we get 1 and a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 216.31
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.

Let's proceed to step 7:
When dividing 110 by 19, we get 5 with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 216.315
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.

Step 8:
The number 19 fits into 150 7 times, leaving a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 216.3157
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.

On to step 9:
19 goes into 170 8 times with a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 216.31578
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.

Advancing to step 10:
180 divided by 19 is 9 with a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 216.315789
Subtract 171 from 180 to get 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 11:
The number 19 fits into 90 4 times, leaving a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 216.3157894
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.

Step 12:
The number 19 fits into 140 7 times, leaving a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 216.31578947
Deduct 133 from 140 and we're left 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.

Our division results in 216.31578947 with a remaining 7e-09.