100219 ÷ 31 
The aim is to understand the frequency of 31 in 100219.

Moving on to step 1:
1 divided by 31 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 31

Step 2:
31 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Fetch the next digit (0) from the dividend, attach it to 10 and continue: 100 / 31

Advancing to step 3:
When dividing 100 by 31, we get 3 with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
The remainder is 7 after subtracting 93 from 100.
Append the next digit (2) from the dividend to 7 and continue with: 72 / 31

Step 4:
When dividing 72 by 31, we get 2 with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 32.0
Subtracting 62 from 72 leaves us with 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 31

Moving on to step 5:
101 divided by 31 is 3 with a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 323.0
If we subtract 93 from 101, we get 8.
Bring next digit (9) of the dividend behind the 8 and repeat the process: 89 / 31

Let's proceed to step 6:
The number 31 fits into 89 2 times, leaving a remainder of 27.
Use 2 as the next digit of our solution. 
Result so far: 3232.0
The remainder is 27 after subtracting 62 from 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 7:
If we divide 270 by 31, we get 8 and a remainder of 22.
The next digit of our result is 8. 
Result so far: 3232.8
Subtract 248 from 270 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 8:
If we divide 220 by 31, we get 7 and a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 3232.87
Deduct 217 from 220 and we're left with 3.
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 9:
If we divide 30 by 31, we get 0 and a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 3232.87
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 10:
When dividing 300 by 31, we get 9 with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 3232.8709
Subtracting 279 from 300 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 11:
210 divided by 31 is 6 with a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 3232.87096
Deduct 186 from 210 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 12:
240 divided by 31 is 7 with a remainder of 23.
Use 7 as the next digit of our solution. 
Result so far: 3232.870967
The remainder is 23 after subtracting 217 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 13:
The number 31 fits into 230 7 times, leaving a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 3232.8709677
The remainder is 13 after subtracting 217 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

After the division, we end up with 3232.8709677 and a remainder of 1.3e-07.