100397 ÷ 5 
The aim is to understand the frequency of 5 in 100397.

Advancing to step 1:
1 divided by 5 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 5

On to step 2:
5 goes into 10 2 times with a remainder of 0.
The next digit of our result is 2. 
Result so far: 2.0
Subtracting 10 from 10 leaves us with 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 5

Let's proceed to step 3:
5 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 20.0
If we subtract 0 from 0, we get 0.
Fetch the next digit (3) from the dividend, attach it to 0 and continue: 3 / 5

On to step 4:
The number 5 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 200.0
Subtract 0 from 3 to get 3.
Take the next digit (9) from the dividend and append it to 3, then repeat: 39 / 5

Advancing to step 5:
39 divided by 5 is 7 with a remainder of 4.
Put 7 as the next digit of the answer. 
Result so far: 2007.0
If we take 35 away from 39, we end up with 4.
Grab the next digit (7) from the dividend, add it to 4, then carry on: 47 / 5

Advancing to step 6:
The number 5 fits into 47 9 times, leaving a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 20079.0
The remainder is 2 after subtracting 45 from 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 7:
When dividing 20 by 5, we get 4 with a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 20079.4
If we take 20 away from 20, 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.

Let's proceed to step 8:
5 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 20079.4
If we subtract 0 from 0, 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.

Moving on to step 9:
5 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 20079.4
Subtract 0 from 0 to 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.

The quotient of the division is 20079.4, and the remainder is 0.0.