We divide 541107 by 81
We want to figure out the number of times 541107 can be divided by 81.

Let's proceed to step 1:
The number 81 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 81

Step 2:
The number 81 fits into 54 0 times, leaving a remainder of 54.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 54 leaves us with 54.
Bring next digit (1) of the dividend behind the 54 and repeat the process: 541 / 81

Moving on to step 3:
81 goes into 541 6 times with a remainder of 55.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 486 from 541, we get 55.
Fetch the next digit (1) from the dividend, attach it to 55 and continue: 551 / 81

On to step 4:
When dividing 551 by 81, we get 6 with a remainder of 65.
The number 6 becomes the next digit in our result. 
Result so far: 66.0
If we take 486 away from 551, we end up with 65.
Take the next digit (0) from the dividend and append it to 65, then repeat: 650 / 81

Let's proceed to step 5:
650 divided by 81 is 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 668.0
Subtract 648 from 650 to get 2.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 81

Moving on to step 6:
The number 81 fits into 27 0 times, leaving a remainder of 27.
Use 0 as the next digit of our solution. 
Result so far: 6680.0
If we subtract 0 from 27, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 7:
270 divided by 81 is 3 with a remainder of 27.
Write down 3 as next digit of the result. 
Result so far: 6680.3
If we take 243 away from 270, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 8:
The number 81 fits into 270 3 times, leaving a remainder of 27.
The next digit of our result is 3. 
Result so far: 6680.33
Subtracting 243 from 270 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

After the division, we end up with 6680.33 and a remainder of 0.027.