126165 divided by 19 
The aim is to understand the frequency of 19 in 126165.

Advancing to step 1:
If we divide 1 by 19, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 19

Let's proceed to step 2:
The number 19 fits into 12 0 times, leaving a remainder of 12.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 12 after subtracting 0 from 12.
Grab the next digit (6) from the dividend, add it to 12, then carry on: 126 / 19

On to step 3:
If we divide 126 by 19, we get 6 and a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 114 from 126 and we're left with 12.
Append the next digit (1) from the dividend to 12 and continue with: 121 / 19

Going ahead to step 4:
121 divided by 19 is 6 with a remainder of 7.
Put 6 as the next digit of the answer. 
Result so far: 66.0
If we subtract 114 from 121, we get 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 19

Step 5:
19 can be fit into 76 4 times, resulting in a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 664.0
If we subtract 76 from 76, we get 0.
Grab the next digit (5) from the dividend, add it to 0, then carry on: 5 / 19

Going ahead to step 6:
5 divided by 19 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 6640.0
Subtracting 0 from 5 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.

Step 7:
19 goes into 50 2 times with a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 6640.2
The remainder is 12 after subtracting 38 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 8:
120 divided by 19 is 6 with a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 6640.26
The remainder is 6 after subtracting 114 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 9:
The number 19 fits into 60 3 times, leaving a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 6640.263
If we subtract 57 from 60, 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 10:
19 goes into 30 1 times with a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 6640.2631
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.

Step 11:
19 can be fit into 110 5 times, resulting in a remainder of 15.
The next digit of our result is 5. 
Result so far: 6640.26315
Deduct 95 from 110 and we're left 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.

Let's proceed to step 12:
19 can be fit into 150 7 times, resulting in a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 6640.263157
If we subtract 133 from 150, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 13:
19 can be fit into 170 8 times, resulting in a remainder of 18.
Put 8 as the next digit of the answer. 
Result so far: 6640.2631578
Subtract 152 from 170 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 14:
19 can be fit into 180 9 times, resulting in a remainder of 9.
The next digit of our result is 9. 
Result so far: 6640.26315789
The remainder is 9 after subtracting 171 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

After the division, we end up with 6640.26315789 and a remainder of 9e-09.