10564 ÷ 23 
The aim is to understand the frequency of 23 in 10564.

Moving on to step 1:
If we divide 1 by 23, we get 0 and 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.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 23

Let's proceed to step 2:
If we divide 10 by 23, we get 0 and 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.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 23

Advancing to step 3:
If we divide 105 by 23, we get 4 and a remainder of 13.
The next digit of our result is 4. 
Result so far: 4.0
The remainder is 13 after subtracting 92 from 105.
Include the next digit (6) from the dividend after 13, then repeat: 136 / 23

Step 4:
23 can be fit into 136 5 times, resulting in a remainder of 21.
The number 5 becomes the next digit in our result. 
Result so far: 45.0
Subtracting 115 from 136 leaves us with 21.
Include the next digit (4) from the dividend after 21, then repeat: 214 / 23

Let's proceed to step 5:
The number 23 fits into 214 9 times, leaving a remainder of 7.
Use 9 as the next digit of our solution. 
Result so far: 459.0
The remainder is 7 after subtracting 207 from 214.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 6:
70 divided by 23 is 3 with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 459.3
Subtracting 69 from 70 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
The number 23 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 459.3
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
When dividing 100 by 23, we get 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 459.304
Subtract 92 from 100 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:
23 goes into 80 3 times with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 459.3043
Deduct 69 from 80 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 10:
If we divide 110 by 23, we get 4 and a remainder of 18.
Write down 4 as next digit of the result. 
Result so far: 459.30434
The remainder is 18 after subtracting 92 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 11:
When dividing 180 by 23, we get 7 with a remainder of 19.
Put 7 as the next digit of the answer. 
Result so far: 459.304347
Subtracting 161 from 180 leaves us 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.

Moving on to step 12:
23 can be fit into 190 8 times, resulting in a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 459.3043478
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.

Moving on to step 13:
When dividing 60 by 23, we get 2 with a remainder of 14.
Use 2 as the next digit of our solution. 
Result so far: 459.30434782
Subtract 46 from 60 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final outcome is 459.30434782, with a leftover of 1.4e-08.