137031 ÷ 19 
The aim is to understand the frequency of 19 in 137031.

Advancing to step 1:
If we divide 1 by 19, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 19

Going ahead to step 2:
The number 19 fits into 13 0 times, leaving a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 13 leaves us with 13.
Bring next digit (7) of the dividend behind the 13 and repeat the process: 137 / 19

Let's proceed to step 3:
When dividing 137 by 19, we get 7 with a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtracting 133 from 137 leaves us with 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 19

Advancing to step 4:
When dividing 40 by 19, we get 2 with a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 72.0
Subtract 38 from 40 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 19

Let's proceed to step 5:
19 can be fit into 23 1 times, resulting in a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 721.0
If we subtract 19 from 23, we get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 19

Step 6:
The number 19 fits into 41 2 times, leaving a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 7212.0
The remainder is 3 after subtracting 38 from 41.
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 7:
The number 19 fits into 30 1 times, leaving a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 7212.1
If we take 19 away from 30, we end up 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.

On to step 8:
If we divide 110 by 19, we get 5 and a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 7212.15
If we subtract 95 from 110, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 9:
19 goes into 150 7 times with a remainder of 17.
Put 7 as the next digit of the answer. 
Result so far: 7212.157
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.

Advancing to step 10:
The number 19 fits into 170 8 times, leaving a remainder of 18.
Put 8 as the next digit of the answer. 
Result so far: 7212.1578
Deduct 152 from 170 and we're left with 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 11:
The number 19 fits into 180 9 times, leaving a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 7212.15789
Subtracting 171 from 180 leaves us 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:
When dividing 90 by 19, we get 4 with a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 7212.157894
Subtracting 76 from 90 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 13:
19 goes into 140 7 times with a remainder of 7.
The next digit of our result is 7. 
Result so far: 7212.1578947
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.

Advancing to step 14:
If we divide 70 by 19, we get 3 and a remainder of 13.
The next digit of our result is 3. 
Result so far: 7212.15789473
The remainder is 13 after subtracting 57 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Our division results in 7212.15789473 with a remaining 1.3e-08.