We look at the division of 81001 by 80 
The aim is to understand the frequency of 80 in 81001.

Going ahead to step 1:
80 can be fit into 8 0 times, resulting in a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Fetch the next digit (1) from the dividend, attach it to 8 and continue: 81 / 80

Moving on to step 2:
If we divide 81 by 80, we get 1 and a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 80 from 81 and we're left with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 80

Moving on to step 3:
When dividing 10 by 80, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtracting 0 from 10 leaves us with 10.
Append the next digit (0) from the dividend to 10 and continue with: 100 / 80

Step 4:
When dividing 100 by 80, we get 1 with a remainder of 20.
Use 1 as the next digit of our solution. 
Result so far: 101.0
Subtract 80 from 100 to get 20.
Fetch the next digit (1) from the dividend, attach it to 20 and continue: 201 / 80

Moving on to step 5:
80 can be fit into 201 2 times, resulting in a remainder of 41.
Put 2 as the next digit of the answer. 
Result so far: 1012.0
The remainder is 41 after subtracting 160 from 201.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 6:
The number 80 fits into 410 5 times, leaving a remainder of 10.
The next digit of our result is 5. 
Result so far: 1012.5
Deduct 400 from 410 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 7:
80 can be fit into 100 1 times, resulting in a remainder of 20.
The next digit of our result is 1. 
Result so far: 1012.51
Subtract 80 from 100 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
If we divide 200 by 80, we get 2 and a remainder of 40.
Write down 2 as next digit of the result. 
Result so far: 1012.512
If we subtract 160 from 200, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 9:
80 goes into 400 5 times with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 1012.5125
The remainder is 0 after subtracting 400 from 400.
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 10:
If we divide 0 by 80, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 1012.5125
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.

On to step 11:
If we divide 0 by 80, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 1012.5125
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.

After the division, we end up with 1012.5125 and a remainder of 0.0.