We're dividing 108510 by 23 
The aim is to understand the frequency of 23 in 108510.

On to step 1:
The number 23 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 23

Let's proceed to step 2:
The number 23 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Grab the next digit (8) from the dividend, add it to 10, then carry on: 108 / 23

On to step 3:
When dividing 108 by 23, we get 4 with a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtract 92 from 108 to get 16.
Take the next digit (5) from the dividend and append it to 16, then repeat: 165 / 23

Moving on to step 4:
When dividing 165 by 23, we get 7 with a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 47.0
Deduct 161 from 165 and we're left with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 23

On to step 5:
23 can be fit into 41 1 times, resulting in a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 471.0
Subtract 23 from 41 to get 18.
Append the next digit (0) from the dividend to 18 and continue with: 180 / 23

Going ahead to step 6:
If we divide 180 by 23, we get 7 and a remainder of 19.
The next digit of our result is 7. 
Result so far: 4717.0
Deduct 161 from 180 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 7:
If we divide 190 by 23, we get 8 and a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 4717.8
The remainder is 6 after subtracting 184 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 8:
23 goes into 60 2 times with a remainder of 14.
Put 2 as the next digit of the answer. 
Result so far: 4717.82
The remainder is 14 after subtracting 46 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 9:
The number 23 fits into 140 6 times, leaving a remainder of 2.
The next digit of our result is 6. 
Result so far: 4717.826
If we subtract 138 from 140, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 10:
When dividing 20 by 23, we get 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 4717.826
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 11:
When dividing 200 by 23, we get 8 with a remainder of 16.
The next digit of our result is 8. 
Result so far: 4717.82608
Deduct 184 from 200 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 12:
If we divide 160 by 23, we get 6 and a remainder of 22.
Record the quotient 6 as the next digit in the result. 
Result so far: 4717.826086
Subtracting 138 from 160 leaves us with 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 13:
The number 23 fits into 220 9 times, leaving a remainder of 13.
Record the quotient 9 as the next digit in the result. 
Result so far: 4717.8260869
Subtract 207 from 220 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 14:
130 divided by 23 is 5 with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 4717.82608695
Deduct 115 from 130 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.

Our division results in 4717.82608695 with a remaining 1.5e-08.