157705 ÷ 23 
The aim is to understand the frequency of 23 in 157705.

Let's proceed to step 1:
The number 23 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 23

On to step 2:
When dividing 15 by 23, we get 0 with a remainder of 15.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 15 to get 15.
Include the next digit (7) from the dividend after 15, then repeat: 157 / 23

Advancing to step 3:
23 can be fit into 157 6 times, resulting in a remainder of 19.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtract 138 from 157 to get 19.
Fetch the next digit (7) from the dividend, attach it to 19 and continue: 197 / 23

Advancing to step 4:
If we divide 197 by 23, we get 8 and a remainder of 13.
The number 8 becomes the next digit in our result. 
Result so far: 68.0
The remainder is 13 after subtracting 184 from 197.
Append the next digit (0) from the dividend to 13 and continue with: 130 / 23

On to step 5:
The number 23 fits into 130 5 times, leaving a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 685.0
If we take 115 away from 130, we end up with 15.
Grab the next digit (5) from the dividend, add it to 15, then carry on: 155 / 23

Going ahead to step 6:
155 divided by 23 is 6 with a remainder of 17.
The number 6 becomes the next digit in our result. 
Result so far: 6856.0
The remainder is 17 after subtracting 138 from 155.
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:
When dividing 170 by 23, we get 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 6856.7
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.

Moving on to step 8:
23 goes into 90 3 times with a remainder of 21.
Use 3 as the next digit of our solution. 
Result so far: 6856.73
Deduct 69 from 90 and we're left 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:
210 divided by 23 is 9 with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 6856.739
If we subtract 207 from 210, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 10:
23 goes into 30 1 times with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 6856.7391
If we subtract 23 from 30, we 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.

Let's proceed to step 11:
If we divide 70 by 23, we get 3 and a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 6856.73913
If we subtract 69 from 70, we 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.

On to step 12:
23 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 6856.73913
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.

Going ahead to step 13:
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: 6856.7391304
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.

Going ahead to step 14:
80 divided by 23 is 3 with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 6856.73913043
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.

After the division, we end up with 6856.73913043 and a remainder of 1.1e-08.