We're dividing 809105 by 23 
The aim is to understand the frequency of 23 in 809105.

Advancing to step 1:
If we divide 8 by 23, we get 0 and a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Fetch the next digit (0) from the dividend, attach it to 8 and continue: 80 / 23

Going ahead to step 2:
If we divide 80 by 23, we get 3 and a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtract 69 from 80 to get 11.
Append the next digit (9) from the dividend to 11 and continue with: 119 / 23

Advancing to step 3:
119 divided by 23 is 5 with a remainder of 4.
The next digit of our result is 5. 
Result so far: 35.0
Deduct 115 from 119 and we're left with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 23

Step 4:
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: 351.0
Deduct 23 from 41 and we're left with 18.
Append the next digit (0) from the dividend to 18 and continue with: 180 / 23

Advancing to step 5:
23 can be fit into 180 7 times, resulting in a remainder of 19.
Use 7 as the next digit of our solution. 
Result so far: 3517.0
If we subtract 161 from 180, we get 19.
Bring next digit (5) of the dividend behind the 19 and repeat the process: 195 / 23

Advancing to step 6:
23 goes into 195 8 times with a remainder of 11.
The next digit of our result is 8. 
Result so far: 35178.0
If we subtract 184 from 195, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 7:
If we divide 110 by 23, we get 4 and a remainder of 18.
Record the quotient 4 as the next digit in the result. 
Result so far: 35178.4
Deduct 92 from 110 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.

Let's proceed to step 8:
If we divide 180 by 23, we get 7 and a remainder of 19.
Put 7 as the next digit of the answer. 
Result so far: 35178.47
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.

On to step 9:
190 divided by 23 is 8 with a remainder of 6.
The next digit of our result is 8. 
Result so far: 35178.478
If we take 184 away from 190, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 10:
If we divide 60 by 23, we get 2 and a remainder of 14.
Record the quotient 2 as the next digit in the result. 
Result so far: 35178.4782
Deduct 46 from 60 and we're left 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.

Going ahead to step 11:
23 goes into 140 6 times with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 35178.47826
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.

Let's proceed to step 12:
23 goes into 20 0 times with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 35178.47826
If we take 0 away from 20, we end up 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.

Moving on to step 13:
The number 23 fits into 200 8 times, leaving a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 35178.4782608
The remainder is 16 after subtracting 184 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 14:
When dividing 160 by 23, we get 6 with a remainder of 22.
Put 6 as the next digit of the answer. 
Result so far: 35178.47826086
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.

In conclusion, the division gives 35178.47826086 with a balance of 2.2e-08.