110896 divided by 81 
The aim is to understand the frequency of 81 in 110896.

Going ahead to step 1:
81 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 81

Step 2:
If we divide 11 by 81, we get 0 and a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 11 and we're left with 11.
Fetch the next digit (0) from the dividend, attach it to 11 and continue: 110 / 81

Moving on to step 3:
The number 81 fits into 110 1 times, leaving a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 81 from 110 leaves us with 29.
Take the next digit (8) from the dividend and append it to 29, then repeat: 298 / 81

Step 4:
81 goes into 298 3 times with a remainder of 55.
Write down 3 as next digit of the result. 
Result so far: 13.0
Subtract 243 from 298 to get 55.
Bring next digit (9) of the dividend behind the 55 and repeat the process: 559 / 81

Step 5:
81 can be fit into 559 6 times, resulting in a remainder of 73.
Use 6 as the next digit of our solution. 
Result so far: 136.0
The remainder is 73 after subtracting 486 from 559.
Fetch the next digit (6) from the dividend, attach it to 73 and continue: 736 / 81

Going ahead to step 6:
81 can be fit into 736 9 times, resulting in a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 1369.0
If we take 729 away from 736, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 7:
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: 1369.0
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.

Going ahead to step 8:
If we divide 700 by 81, we get 8 and a remainder of 52.
Put 8 as the next digit of the answer. 
Result so far: 1369.08
Subtract 648 from 700 to 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.

Let's proceed to step 9:
When dividing 520 by 81, we get 6 with a remainder of 34.
Use 6 as the next digit of our solution. 
Result so far: 1369.086
Subtract 486 from 520 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 10:
81 goes into 340 4 times with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 1369.0864
Subtract 324 from 340 to get 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 11:
If we divide 160 by 81, we get 1 and a remainder of 79.
Use 1 as the next digit of our solution. 
Result so far: 1369.08641
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 12:
The number 81 fits into 790 9 times, leaving a remainder of 61.
Use 9 as the next digit of our solution. 
Result so far: 1369.086419
The remainder is 61 after subtracting 729 from 790.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

On to step 13:
610 divided by 81 is 7 with a remainder of 43.
The next digit of our result is 7. 
Result so far: 1369.0864197
Subtracting 567 from 610 leaves us with 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 14:
81 goes into 430 5 times with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 1369.08641975
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.

The final result is 1369.08641975 with a remainder of 2.5e-08.