406607 ÷ 8 
The aim is to understand the frequency of 8 in 406607.

On to step 1:
When dividing 4 by 8, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (0) from the dividend after 4, then repeat: 40 / 8

Going ahead to step 2:
8 goes into 40 5 times with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtract 40 from 40 to get 0.
Append the next digit (6) from the dividend to 0 and continue with: 6 / 8

Advancing to step 3:
6 divided by 8 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 50.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 8

On to step 4:
The number 8 fits into 66 8 times, leaving a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 508.0
If we take 64 away from 66, we end up with 2.
Append the next digit (0) from the dividend to 2 and continue with: 20 / 8

Moving on to step 5:
8 can be fit into 20 2 times, resulting in a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 5082.0
Subtract 16 from 20 to get 4.
Fetch the next digit (7) from the dividend, attach it to 4 and continue: 47 / 8

Let's proceed to step 6:
If we divide 47 by 8, we get 5 and a remainder of 7.
The number 5 becomes the next digit in our result. 
Result so far: 50825.0
Subtracting 40 from 47 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.

Step 7:
8 can be fit into 70 8 times, resulting in a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 50825.8
Deduct 64 from 70 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 8:
60 divided by 8 is 7 with a remainder of 4.
Use 7 as the next digit of our solution. 
Result so far: 50825.87
Deduct 56 from 60 and we're left 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.

Advancing to step 9:
40 divided by 8 is 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 50825.875
If we subtract 40 from 40, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On 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: 50825.875
The remainder is 0 after subtracting 0 from 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 11:
8 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 50825.875
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 50825.875 with a remainder of 0.0.