829942 ÷ 81 
The aim is to understand the frequency of 81 in 829942.

Going ahead to step 1:
If we divide 8 by 81, we get 0 and a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 81

Let's proceed to step 2:
When dividing 82 by 81, we get 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 1 after subtracting 81 from 82.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 81

Going ahead to step 3:
If we divide 19 by 81, we get 0 and a remainder of 19.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Deduct 0 from 19 and we're left with 19.
Fetch the next digit (9) from the dividend, attach it to 19 and continue: 199 / 81

On to step 4:
199 divided by 81 is 2 with a remainder of 37.
Record the quotient 2 as the next digit in the result. 
Result so far: 102.0
Subtracting 162 from 199 leaves us with 37.
Grab the next digit (4) from the dividend, add it to 37, then carry on: 374 / 81

Let's proceed to step 5:
The number 81 fits into 374 4 times, leaving a remainder of 50.
Use 4 as the next digit of our solution. 
Result so far: 1024.0
The remainder is 50 after subtracting 324 from 374.
Take the next digit (2) from the dividend and append it to 50, then repeat: 502 / 81

On to step 6:
The number 81 fits into 502 6 times, leaving a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 10246.0
If we take 486 away from 502, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 7:
When dividing 160 by 81, we get 1 with a remainder of 79.
Use 1 as the next digit of our solution. 
Result so far: 10246.1
If we subtract 81 from 160, we get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Step 8:
The number 81 fits into 790 9 times, leaving a remainder of 61.
Put 9 as the next digit of the answer. 
Result so far: 10246.19
If we take 729 away from 790, we end up with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Let's proceed to step 9:
81 goes into 610 7 times with a remainder of 43.
The next digit of our result is 7. 
Result so far: 10246.197
Subtract 567 from 610 to get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 10:
430 divided by 81 is 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 10246.1975
The remainder is 25 after subtracting 405 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 11:
When dividing 250 by 81, we get 3 with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 10246.19753
Subtract 243 from 250 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 12:
If we divide 70 by 81, we get 0 and a remainder of 70.
The number 0 becomes the next digit in our result. 
Result so far: 10246.19753
Subtract 0 from 70 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 13:
If we divide 700 by 81, we get 8 and a remainder of 52.
Write down 8 as next digit of the result. 
Result so far: 10246.1975308
If we subtract 648 from 700, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 14:
520 divided by 81 is 6 with a remainder of 34.
Use 6 as the next digit of our solution. 
Result so far: 10246.19753086
Deduct 486 from 520 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

After the division, we end up with 10246.19753086 and a remainder of 3.4e-08.