825718 ÷ 23 
The aim is to understand the frequency of 23 in 825718.

Going ahead to step 1:
When dividing 8 by 23, we get 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 23

Moving on to step 2:
The number 23 fits into 82 3 times, leaving a remainder of 13.
The next digit of our result is 3. 
Result so far: 3.0
Subtracting 69 from 82 leaves us with 13.
Append the next digit (5) from the dividend to 13 and continue with: 135 / 23

Advancing to step 3:
23 can be fit into 135 5 times, resulting in a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 35.0
Deduct 115 from 135 and we're left with 20.
Fetch the next digit (7) from the dividend, attach it to 20 and continue: 207 / 23

Moving on to step 4:
207 divided by 23 is 9 with a remainder of 0.
Use 9 as the next digit of our solution. 
Result so far: 359.0
The remainder is 0 after subtracting 207 from 207.
Fetch the next digit (1) from the dividend, attach it to 0 and continue: 1 / 23

Step 5:
When dividing 1 by 23, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 3590.0
If we take 0 away from 1, we end up with 1.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 23

Advancing to step 6:
23 goes into 18 0 times with a remainder of 18.
Record the quotient 0 as the next digit in the result. 
Result so far: 35900.0
Deduct 0 from 18 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.

Going ahead to step 7:
When dividing 180 by 23, we get 7 with a remainder of 19.
The number 7 becomes the next digit in our result. 
Result so far: 35900.7
Subtracting 161 from 180 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 8:
23 goes into 190 8 times with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 35900.78
Subtract 184 from 190 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 9:
23 goes into 60 2 times with a remainder of 14.
Use 2 as the next digit of our solution. 
Result so far: 35900.782
Deduct 46 from 60 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 10:
When dividing 140 by 23, we get 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 35900.7826
If we take 138 away from 140, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 11:
When dividing 20 by 23, we get 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 35900.7826
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 12:
23 goes into 200 8 times with a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 35900.782608
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 13:
23 goes into 160 6 times with a remainder of 22.
Put 6 as the next digit of the answer. 
Result so far: 35900.7826086
Subtracting 138 from 160 leaves us 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.

Step 14:
If we divide 220 by 23, we get 9 and a remainder of 13.
The number 9 becomes the next digit in our result. 
Result so far: 35900.78260869
Subtracting 207 from 220 leaves us 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.

The quotient of the division is 35900.78260869, and the remainder is 1.3e-08.