825805 divided by 23 
The aim is to understand the frequency of 23 in 825805.

Advancing to step 1:
8 divided by 23 is 0 with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 23

Moving on to step 2:
23 can be fit into 82 3 times, resulting in a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we take 69 away from 82, we end up with 13.
Include the next digit (5) from the dividend after 13, then repeat: 135 / 23

Advancing to step 3:
23 goes into 135 5 times with a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 35.0
If we take 115 away from 135, we end up with 20.
Fetch the next digit (8) from the dividend, attach it to 20 and continue: 208 / 23

Let's proceed to step 4:
23 can be fit into 208 9 times, resulting in a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 359.0
If we take 207 away from 208, we end up with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 23

On to step 5:
If we divide 10 by 23, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 3590.0
Deduct 0 from 10 and we're left with 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 23

Let's proceed to step 6:
If we divide 105 by 23, we get 4 and a remainder of 13.
Record the quotient 4 as the next digit in the result. 
Result so far: 35904.0
If we take 92 away from 105, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 7:
The number 23 fits into 130 5 times, leaving a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 35904.5
If we take 115 away from 130, we end up 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.

On to step 8:
If we divide 150 by 23, we get 6 and a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 35904.56
Subtract 138 from 150 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 9:
23 can be fit into 120 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 35904.565
Subtract 115 from 120 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 10:
23 goes into 50 2 times with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 35904.5652
The remainder is 4 after subtracting 46 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 11:
40 divided by 23 is 1 with a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 35904.56521
Deduct 23 from 40 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 12:
23 goes into 170 7 times with a remainder of 9.
The next digit of our result is 7. 
Result so far: 35904.565217
Subtract 161 from 170 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 13:
90 divided by 23 is 3 with a remainder of 21.
The number 3 becomes the next digit in our result. 
Result so far: 35904.5652173
Deduct 69 from 90 and we're left 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 14:
The number 23 fits into 210 9 times, leaving a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 35904.56521739
If we take 207 away from 210, we end up 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.

After the division, we end up with 35904.56521739 and a remainder of 3e-09.