We're dividing 65816563 by 542 
The aim is to understand the frequency of 542 in 65816563.

Moving on to step 1:
The number 542 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 542

Moving on to step 2:
The number 542 fits into 65 0 times, leaving a remainder of 65.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 65 and we're left with 65.
Bring next digit (8) of the dividend behind the 65 and repeat the process: 658 / 542

Advancing to step 3:
542 goes into 658 1 times with a remainder of 116.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 542 from 658 and we're left with 116.
Grab the next digit (1) from the dividend, add it to 116, then carry on: 1161 / 542

Advancing to step 4:
If we divide 1161 by 542, we get 2 and a remainder of 77.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
Subtract 1084 from 1161 to get 77.
Include the next digit (6) from the dividend after 77, then repeat: 776 / 542

Let's proceed to step 5:
The number 542 fits into 776 1 times, leaving a remainder of 234.
The next digit of our result is 1. 
Result so far: 121.0
Deduct 542 from 776 and we're left with 234.
Include the next digit (5) from the dividend after 234, then repeat: 2345 / 542

On to step 6:
542 goes into 2345 4 times with a remainder of 177.
Use 4 as the next digit of our solution. 
Result so far: 1214.0
Deduct 2168 from 2345 and we're left with 177.
Fetch the next digit (6) from the dividend, attach it to 177 and continue: 1776 / 542

Let's proceed to step 7:
When dividing 1776 by 542, we get 3 with a remainder of 150.
Use 3 as the next digit of our solution. 
Result so far: 12143.0
Subtracting 1626 from 1776 leaves us with 150.
Append the next digit (3) from the dividend to 150 and continue with: 1503 / 542

Let's proceed to step 8:
When dividing 1503 by 542, we get 2 with a remainder of 419.
Use 2 as the next digit of our solution. 
Result so far: 121432.0
Subtract 1084 from 1503 to get 419.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4190, and continue the process.

Moving on to step 9:
4190 divided by 542 is 7 with a remainder of 396.
The next digit of our result is 7. 
Result so far: 121432.7
If we take 3794 away from 4190, we end up with 396.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3960, and continue the process.

Step 10:
When dividing 3960 by 542, we get 7 with a remainder of 166.
Put 7 as the next digit of the answer. 
Result so far: 121432.77
If we take 3794 away from 3960, we end up with 166.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1660, and continue the process.

The final result is 121432.77 with a remainder of 0.166.