We divide 501601 by 23
The aim is to understand the frequency of 23 in 501601.

Let's proceed to step 1:
The number 23 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 23

Step 2:
23 can be fit into 50 2 times, resulting in a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtract 46 from 50 to get 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 23

On to step 3:
The number 23 fits into 41 1 times, leaving a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 21.0
If we take 23 away from 41, we end up with 18.
Fetch the next digit (6) from the dividend, attach it to 18 and continue: 186 / 23

Moving on to step 4:
23 can be fit into 186 8 times, resulting in a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 218.0
Subtracting 184 from 186 leaves us with 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 23

Step 5:
If we divide 20 by 23, we get 0 and a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 2180.0
If we take 0 away from 20, we end up with 20.
Take the next digit (1) from the dividend and append it to 20, then repeat: 201 / 23

Advancing to step 6:
201 divided by 23 is 8 with a remainder of 17.
Put 8 as the next digit of the answer. 
Result so far: 21808.0
The remainder is 17 after subtracting 184 from 201.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 7:
23 can be fit into 170 7 times, resulting in a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 21808.7
The remainder is 9 after subtracting 161 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 8:
The number 23 fits into 90 3 times, leaving a remainder of 21.
Record the quotient 3 as the next digit in the result. 
Result so far: 21808.73
If we take 69 away from 90, we end up 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 9:
If we divide 210 by 23, we get 9 and a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 21808.739
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.

Let's proceed to step 10:
30 divided by 23 is 1 with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 21808.7391
The remainder is 7 after subtracting 23 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 11:
70 divided by 23 is 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 21808.73913
The remainder is 1 after subtracting 69 from 70.
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 12:
10 divided by 23 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 21808.73913
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.

On to step 13:
100 divided by 23 is 4 with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 21808.7391304
The remainder is 8 after subtracting 92 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 14:
23 goes into 80 3 times with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 21808.73913043
Subtracting 69 from 80 leaves us 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.

The final result is 21808.73913043 with a remainder of 1.1e-08.