We're dividing 742518 by 81 
The aim is to understand the frequency of 81 in 742518.

On to step 1:
The number 81 fits into 7 0 times, leaving a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Grab the next digit (4) from the dividend, add it to 7, then carry on: 74 / 81

Moving on to step 2:
74 divided by 81 is 0 with a remainder of 74.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 74 after subtracting 0 from 74.
Fetch the next digit (2) from the dividend, attach it to 74 and continue: 742 / 81

Step 3:
When dividing 742 by 81, we get 9 with a remainder of 13.
Use 9 as the next digit of our solution. 
Result so far: 9.0
If we take 729 away from 742, we end up with 13.
Append the next digit (5) from the dividend to 13 and continue with: 135 / 81

Moving on to step 4:
81 goes into 135 1 times with a remainder of 54.
Write down 1 as next digit of the result. 
Result so far: 91.0
Subtracting 81 from 135 leaves us with 54.
Append the next digit (1) from the dividend to 54 and continue with: 541 / 81

Let's proceed to step 5:
81 can be fit into 541 6 times, resulting in a remainder of 55.
Record the quotient 6 as the next digit in the result. 
Result so far: 916.0
The remainder is 55 after subtracting 486 from 541.
Include the next digit (8) from the dividend after 55, then repeat: 558 / 81

Advancing to step 6:
81 can be fit into 558 6 times, resulting in a remainder of 72.
Put 6 as the next digit of the answer. 
Result so far: 9166.0
The remainder is 72 after subtracting 486 from 558.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Let's proceed to step 7:
The number 81 fits into 720 8 times, leaving a remainder of 72.
Use 8 as the next digit of our solution. 
Result so far: 9166.8
The remainder is 72 after subtracting 648 from 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Let's proceed to step 8:
When dividing 720 by 81, we get 8 with a remainder of 72.
Put 8 as the next digit of the answer. 
Result so far: 9166.88
Subtracting 648 from 720 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

The final outcome is 9166.88, with a leftover of 0.072.