403414 ÷ 23 
The aim is to understand the frequency of 23 in 403414.

On to step 1:
If we divide 4 by 23, we get 0 and a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 23

Moving on to step 2:
23 goes into 40 1 times with a remainder of 17.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 23 from 40 leaves us with 17.
Grab the next digit (3) from the dividend, add it to 17, then carry on: 173 / 23

Advancing to step 3:
The number 23 fits into 173 7 times, leaving a remainder of 12.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
If we take 161 away from 173, we end up with 12.
Append the next digit (4) from the dividend to 12 and continue with: 124 / 23

Let's proceed to step 4:
124 divided by 23 is 5 with a remainder of 9.
The next digit of our result is 5. 
Result so far: 175.0
If we subtract 115 from 124, we get 9.
Append the next digit (1) from the dividend to 9 and continue with: 91 / 23

Moving on to step 5:
23 can be fit into 91 3 times, resulting in a remainder of 22.
The number 3 becomes the next digit in our result. 
Result so far: 1753.0
If we subtract 69 from 91, we get 22.
Bring next digit (4) of the dividend behind the 22 and repeat the process: 224 / 23

Let's proceed to step 6:
224 divided by 23 is 9 with a remainder of 17.
Put 9 as the next digit of the answer. 
Result so far: 17539.0
If we subtract 207 from 224, we get 17.
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: 17539.7
If we take 161 away from 170, we end up with 9.
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:
23 goes into 90 3 times with a remainder of 21.
The next digit of our result is 3. 
Result so far: 17539.73
Subtract 69 from 90 to get 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 9:
The number 23 fits into 210 9 times, leaving a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 17539.739
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:
23 goes into 30 1 times with a remainder of 7.
The next digit of our result is 1. 
Result so far: 17539.7391
Subtracting 23 from 30 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 11:
23 can be fit into 70 3 times, resulting in a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 17539.73913
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:
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: 17539.73913
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 13:
If we divide 100 by 23, we get 4 and a remainder of 8.
The next digit of our result is 4. 
Result so far: 17539.7391304
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 14:
23 can be fit into 80 3 times, resulting in a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 17539.73913043
If we subtract 69 from 80, 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.

The final outcome is 17539.73913043, with a leftover of 1.1e-08.