157805 ÷ 81 
The aim is to understand the frequency of 81 in 157805.

Moving on to step 1:
When dividing 1 by 81, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (5) from the dividend, attach it to 1 and continue: 15 / 81

Let's proceed to step 2:
The number 81 fits into 15 0 times, leaving a remainder of 15.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 15 after subtracting 0 from 15.
Take the next digit (7) from the dividend and append it to 15, then repeat: 157 / 81

Moving on to step 3:
157 divided by 81 is 1 with a remainder of 76.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 81 from 157 and we're left with 76.
Include the next digit (8) from the dividend after 76, then repeat: 768 / 81

Going ahead to step 4:
81 goes into 768 9 times with a remainder of 39.
Write down 9 as next digit of the result. 
Result so far: 19.0
If we take 729 away from 768, we end up with 39.
Take the next digit (0) from the dividend and append it to 39, then repeat: 390 / 81

Let's proceed to step 5:
81 goes into 390 4 times with a remainder of 66.
The number 4 becomes the next digit in our result. 
Result so far: 194.0
Subtract 324 from 390 to get 66.
Include the next digit (5) from the dividend after 66, then repeat: 665 / 81

Going ahead to step 6:
665 divided by 81 is 8 with a remainder of 17.
Record the quotient 8 as the next digit in the result. 
Result so far: 1948.0
If we subtract 648 from 665, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 7:
If we divide 170 by 81, we get 2 and a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 1948.2
The remainder is 8 after subtracting 162 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 8:
When dividing 80 by 81, we get 0 with a remainder of 80.
Use 0 as the next digit of our solution. 
Result so far: 1948.2
Deduct 0 from 80 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Going ahead to step 9:
81 can be fit into 800 9 times, resulting in a remainder of 71.
Put 9 as the next digit of the answer. 
Result so far: 1948.209
Subtracting 729 from 800 leaves us with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Let's proceed to step 10:
81 can be fit into 710 8 times, resulting in a remainder of 62.
Use 8 as the next digit of our solution. 
Result so far: 1948.2098
Subtracting 648 from 710 leaves us with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Let's proceed to step 11:
81 goes into 620 7 times with a remainder of 53.
Use 7 as the next digit of our solution. 
Result so far: 1948.20987
Subtract 567 from 620 to get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Advancing to step 12:
530 divided by 81 is 6 with a remainder of 44.
The next digit of our result is 6. 
Result so far: 1948.209876
The remainder is 44 after subtracting 486 from 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 13:
81 can be fit into 440 5 times, resulting in a remainder of 35.
The next digit of our result is 5. 
Result so far: 1948.2098765
Subtract 405 from 440 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 14:
When dividing 350 by 81, we get 4 with a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 1948.20987654
Subtract 324 from 350 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

After the division, we end up with 1948.20987654 and a remainder of 2.6e-08.