We look at the division of 413510 by 23 
The aim is to understand the frequency of 23 in 413510.

Advancing to step 1:
23 can be fit into 4 0 times, resulting in a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 23

Step 2:
The number 23 fits into 41 1 times, leaving a remainder of 18.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 23 from 41 leaves us with 18.
Take the next digit (3) from the dividend and append it to 18, then repeat: 183 / 23

Step 3:
23 goes into 183 7 times with a remainder of 22.
Put 7 as the next digit of the answer. 
Result so far: 17.0
If we subtract 161 from 183, we get 22.
Take the next digit (5) from the dividend and append it to 22, then repeat: 225 / 23

Let's proceed to step 4:
The number 23 fits into 225 9 times, leaving a remainder of 18.
Write down 9 as next digit of the result. 
Result so far: 179.0
If we take 207 away from 225, we end up with 18.
Append the next digit (1) from the dividend to 18 and continue with: 181 / 23

Step 5:
When dividing 181 by 23, we get 7 with a remainder of 20.
The number 7 becomes the next digit in our result. 
Result so far: 1797.0
If we take 161 away from 181, we end up with 20.
Grab the next digit (0) from the dividend, add it to 20, then carry on: 200 / 23

On to step 6:
23 goes into 200 8 times with a remainder of 16.
The next digit of our result is 8. 
Result so far: 17978.0
If we take 184 away from 200, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 7:
If we divide 160 by 23, we get 6 and a remainder of 22.
Record the quotient 6 as the next digit in the result. 
Result so far: 17978.6
If we take 138 away from 160, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 8:
220 divided by 23 is 9 with a remainder of 13.
The next digit of our result is 9. 
Result so far: 17978.69
If we take 207 away from 220, 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.

On to step 9:
23 can be fit into 130 5 times, resulting in a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 17978.695
If we subtract 115 from 130, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 10:
150 divided by 23 is 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 17978.6956
If we subtract 138 from 150, we 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.

Step 11:
When dividing 120 by 23, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 17978.69565
The remainder is 5 after subtracting 115 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 12:
23 can be fit into 50 2 times, resulting in a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 17978.695652
If we take 46 away from 50, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 13:
If we divide 40 by 23, we get 1 and a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 17978.6956521
The remainder is 17 after subtracting 23 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 14:
23 goes into 170 7 times with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 17978.69565217
Subtracting 161 from 170 leaves us 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.

In conclusion, the division gives 17978.69565217 with a balance of 9e-09.