260501 ÷ 8 
The aim is to understand the frequency of 8 in 260501.

Advancing to step 1:
If we divide 2 by 8, we get 0 and a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 8

Moving on to step 2:
When dividing 26 by 8, we get 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
The remainder is 2 after subtracting 24 from 26.
Fetch the next digit (0) from the dividend, attach it to 2 and continue: 20 / 8

On to step 3:
8 goes into 20 2 times with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 32.0
Subtract 16 from 20 to get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 8

Step 4:
If we divide 45 by 8, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 325.0
The remainder is 5 after subtracting 40 from 45.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 8

Let's proceed to step 5:
If we divide 50 by 8, we get 6 and a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 3256.0
The remainder is 2 after subtracting 48 from 50.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 8

Moving on to step 6:
8 goes into 21 2 times with a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 32562.0
If we subtract 16 from 21, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
When dividing 50 by 8, we get 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 32562.6
If we subtract 48 from 50, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 8:
When dividing 20 by 8, we get 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 32562.62
If we subtract 16 from 20, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 9:
When dividing 40 by 8, we get 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 32562.625
Deduct 40 from 40 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 10:
8 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 32562.625
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 11:
8 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 32562.625
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 32562.625 with a balance of 0.0.