We look at the division of 543316 by 81 
We want to divide 543316 by 81.

Step 1:
When dividing 5 by 81, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 81

On to step 2:
When dividing 54 by 81, we get 0 with a remainder of 54.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 54, we get 54.
Append the next digit (3) from the dividend to 54 and continue with: 543 / 81

Going ahead to step 3:
If we divide 543 by 81, we get 6 and a remainder of 57.
The next digit of our result is 6. 
Result so far: 6.0
Subtracting 486 from 543 leaves us with 57.
Include the next digit (3) from the dividend after 57, then repeat: 573 / 81

Step 4:
The number 81 fits into 573 7 times, leaving a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 67.0
If we subtract 567 from 573, we get 6.
Include the next digit (1) from the dividend after 6, then repeat: 61 / 81

Moving on to step 5:
81 goes into 61 0 times with a remainder of 61.
Record the quotient 0 as the next digit in the result. 
Result so far: 670.0
Deduct 0 from 61 and we're left with 61.
Fetch the next digit (6) from the dividend, attach it to 61 and continue: 616 / 81

Going ahead to step 6:
81 can be fit into 616 7 times, resulting in a remainder of 49.
The number 7 becomes the next digit in our result. 
Result so far: 6707.0
Deduct 567 from 616 and we're left with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Going ahead to step 7:
When dividing 490 by 81, we get 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 6707.6
If we take 486 away from 490, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
40 divided by 81 is 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 6707.6
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 9:
81 goes into 400 4 times with a remainder of 76.
Use 4 as the next digit of our solution. 
Result so far: 6707.604
Subtract 324 from 400 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Step 10:
If we divide 760 by 81, we get 9 and a remainder of 31.
Use 9 as the next digit of our solution. 
Result so far: 6707.6049
Deduct 729 from 760 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 11:
81 goes into 310 3 times with a remainder of 67.
Write down 3 as next digit of the result. 
Result so far: 6707.60493
The remainder is 67 after subtracting 243 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Advancing to step 12:
81 goes into 670 8 times with a remainder of 22.
The next digit of our result is 8. 
Result so far: 6707.604938
If we take 648 away from 670, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 13:
The number 81 fits into 220 2 times, leaving a remainder of 58.
The next digit of our result is 2. 
Result so far: 6707.6049382
The remainder is 58 after subtracting 162 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 14:
When dividing 580 by 81, we get 7 with a remainder of 13.
The next digit of our result is 7. 
Result so far: 6707.60493827
If we subtract 567 from 580, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The quotient of the division is 6707.60493827, and the remainder is 1.3e-08.