Let's divide 361566 by 81
The aim is to understand the frequency of 81 in 361566.

Advancing to step 1:
81 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 81

Going ahead to step 2:
81 can be fit into 36 0 times, resulting in a remainder of 36.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 36 after subtracting 0 from 36.
Grab the next digit (1) from the dividend, add it to 36, then carry on: 361 / 81

On to step 3:
81 can be fit into 361 4 times, resulting in a remainder of 37.
The next digit of our result is 4. 
Result so far: 4.0
Subtract 324 from 361 to get 37.
Fetch the next digit (5) from the dividend, attach it to 37 and continue: 375 / 81

Step 4:
The number 81 fits into 375 4 times, leaving a remainder of 51.
The number 4 becomes the next digit in our result. 
Result so far: 44.0
If we take 324 away from 375, we end up with 51.
Take the next digit (6) from the dividend and append it to 51, then repeat: 516 / 81

Advancing to step 5:
81 can be fit into 516 6 times, resulting in a remainder of 30.
The next digit of our result is 6. 
Result so far: 446.0
Subtracting 486 from 516 leaves us with 30.
Append the next digit (6) from the dividend to 30 and continue with: 306 / 81

Let's proceed to step 6:
81 goes into 306 3 times with a remainder of 63.
Write down 3 as next digit of the result. 
Result so far: 4463.0
Subtract 243 from 306 to get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Step 7:
81 can be fit into 630 7 times, resulting in a remainder of 63.
Write down 7 as next digit of the result. 
Result so far: 4463.7
The remainder is 63 after subtracting 567 from 630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

On to step 8:
If we divide 630 by 81, we get 7 and a remainder of 63.
Use 7 as the next digit of our solution. 
Result so far: 4463.77
If we subtract 567 from 630, we get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

In conclusion, the division gives 4463.77 with a balance of 0.063.