201765 divided by 23 
The aim is to understand the frequency of 23 in 201765.

On to step 1:
2 divided by 23 is 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 23

Moving on to step 2:
The number 23 fits into 20 0 times, leaving a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 20, we end up with 20.
Grab the next digit (1) from the dividend, add it to 20, then carry on: 201 / 23

Moving on to step 3:
23 can be fit into 201 8 times, resulting in a remainder of 17.
Write down 8 as next digit of the result. 
Result so far: 8.0
Deduct 184 from 201 and we're left with 17.
Take the next digit (7) from the dividend and append it to 17, then repeat: 177 / 23

Step 4:
23 goes into 177 7 times with a remainder of 16.
The next digit of our result is 7. 
Result so far: 87.0
Subtracting 161 from 177 leaves us with 16.
Append the next digit (6) from the dividend to 16 and continue with: 166 / 23

Going ahead to step 5:
166 divided by 23 is 7 with a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 877.0
Subtracting 161 from 166 leaves us with 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 23

Going ahead to step 6:
55 divided by 23 is 2 with a remainder of 9.
The next digit of our result is 2. 
Result so far: 8772.0
Subtract 46 from 55 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.

Advancing to step 7:
23 goes into 90 3 times with a remainder of 21.
The next digit of our result is 3. 
Result so far: 8772.3
Subtracting 69 from 90 leaves us 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.

Moving on to step 8:
210 divided by 23 is 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 8772.39
Deduct 207 from 210 and we're left 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.

Advancing to step 9:
23 can be fit into 30 1 times, resulting in a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 8772.391
Subtract 23 from 30 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 10:
23 goes into 70 3 times with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 8772.3913
Subtract 69 from 70 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 11:
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: 8772.3913
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.

Let's proceed to step 12:
23 can be fit into 100 4 times, resulting in a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 8772.391304
Subtracting 92 from 100 leaves us 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.

Step 13:
When dividing 80 by 23, we get 3 with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 8772.3913043
The remainder is 11 after subtracting 69 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 14:
110 divided by 23 is 4 with a remainder of 18.
The next digit of our result is 4. 
Result so far: 8772.39130434
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.

The quotient of the division is 8772.39130434, and the remainder is 1.8e-08.