102131 ÷ 18 
The aim is to understand the frequency of 18 in 102131.

Going ahead to step 1:
If we divide 1 by 18, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 18

Let's proceed to step 2:
When dividing 10 by 18, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Grab the next digit (2) from the dividend, add it to 10, then carry on: 102 / 18

Moving on to step 3:
18 can be fit into 102 5 times, resulting in a remainder of 12.
Use 5 as the next digit of our solution. 
Result so far: 5.0
The remainder is 12 after subtracting 90 from 102.
Append the next digit (1) from the dividend to 12 and continue with: 121 / 18

Moving on to step 4:
When dividing 121 by 18, we get 6 with a remainder of 13.
The next digit of our result is 6. 
Result so far: 56.0
Subtracting 108 from 121 leaves us with 13.
Fetch the next digit (3) from the dividend, attach it to 13 and continue: 133 / 18

Let's proceed to step 5:
If we divide 133 by 18, we get 7 and a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 567.0
The remainder is 7 after subtracting 126 from 133.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 18

Let's proceed to step 6:
18 goes into 71 3 times with a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 5673.0
Subtract 54 from 71 to 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.

Going ahead to step 7:
The number 18 fits into 170 9 times, leaving a remainder of 8.
Write down 9 as next digit of the result. 
Result so far: 5673.9
Subtract 162 from 170 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 8:
18 goes into 80 4 times with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 5673.94
Subtract 72 from 80 to get 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 9:
When dividing 80 by 18, we get 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 5673.944
Deduct 72 from 80 and we're left 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.

The quotient of the division is 5673.944, and the remainder is 0.0008.