We're dividing 538101 by 81 
We want to figure out the number of times 538101 can be divided by 81.

Advancing to step 1:
81 goes into 5 0 times with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 81

On to step 2:
81 can be fit into 53 0 times, resulting in a remainder of 53.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 53 leaves us with 53.
Append the next digit (8) from the dividend to 53 and continue with: 538 / 81

Going ahead to step 3:
81 goes into 538 6 times with a remainder of 52.
The next digit of our result is 6. 
Result so far: 6.0
Subtract 486 from 538 to get 52.
Append the next digit (1) from the dividend to 52 and continue with: 521 / 81

Moving on to step 4:
When dividing 521 by 81, we get 6 with a remainder of 35.
The number 6 becomes the next digit in our result. 
Result so far: 66.0
Subtract 486 from 521 to get 35.
Include the next digit (0) from the dividend after 35, then repeat: 350 / 81

Let's proceed to step 5:
81 goes into 350 4 times with a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 664.0
If we take 324 away from 350, we end up with 26.
Grab the next digit (1) from the dividend, add it to 26, then carry on: 261 / 81

Advancing to step 6:
If we divide 261 by 81, we get 3 and a remainder of 18.
The next digit of our result is 3. 
Result so far: 6643.0
Subtracting 243 from 261 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 7:
If we divide 180 by 81, we get 2 and a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 6643.2
If we take 162 away from 180, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 8:
81 can be fit into 180 2 times, resulting in a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 6643.22
Subtract 162 from 180 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The final result is 6643.22 with a remainder of 0.018.