100406 ÷ 8 
The aim is to understand the frequency of 8 in 100406.

Advancing to step 1:
8 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 8

Advancing to step 2:
8 goes into 10 1 times with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 8 from 10, we get 2.
Append the next digit (0) from the dividend to 2 and continue with: 20 / 8

Step 3:
8 can be fit into 20 2 times, resulting in a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
If we take 16 away from 20, we end up with 4.
Grab the next digit (4) from the dividend, add it to 4, then carry on: 44 / 8

Advancing to step 4:
8 goes into 44 5 times with a remainder of 4.
The number 5 becomes the next digit in our result. 
Result so far: 125.0
If we take 40 away from 44, we end up with 4.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 8

On to step 5:
8 goes into 40 5 times with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 1255.0
Subtracting 40 from 40 leaves us with 0.
Append the next digit (6) from the dividend to 0 and continue with: 6 / 8

Advancing to step 6:
6 divided by 8 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 12550.0
If we subtract 0 from 6, we 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.

Advancing to step 7:
8 can be fit into 60 7 times, resulting in a remainder of 4.
Use 7 as the next digit of our solution. 
Result so far: 12550.7
If we take 56 away from 60, 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.

Step 8:
The number 8 fits into 40 5 times, leaving a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 12550.75
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.

Step 9:
The number 8 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 12550.75
If we take 0 away from 0, we end up 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 10:
8 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 12550.75
If we take 0 away from 0, we end up 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.

The final outcome is 12550.75, with a leftover of 0.0.