We're dividing 557302 by 81 
Let's see how many times 81 fits into 557302.

Advancing to step 1:
81 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 81

Step 2:
The number 81 fits into 55 0 times, leaving a remainder of 55.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 55 to get 55.
Grab the next digit (7) from the dividend, add it to 55, then carry on: 557 / 81

On to step 3:
557 divided by 81 is 6 with a remainder of 71.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 486 from 557 to get 71.
Append the next digit (3) from the dividend to 71 and continue with: 713 / 81

Moving on to step 4:
When dividing 713 by 81, we get 8 with a remainder of 65.
Put 8 as the next digit of the answer. 
Result so far: 68.0
Deduct 648 from 713 and we're left with 65.
Include the next digit (0) from the dividend after 65, then repeat: 650 / 81

Step 5:
81 can be fit into 650 8 times, resulting in a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 688.0
Subtract 648 from 650 to get 2.
Take the next digit (2) from the dividend and append it to 2, then repeat: 22 / 81

Let's proceed to step 6:
When dividing 22 by 81, we get 0 with a remainder of 22.
Use 0 as the next digit of our solution. 
Result so far: 6880.0
Subtracting 0 from 22 leaves us 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.

Moving on to step 7:
81 goes into 220 2 times with a remainder of 58.
Put 2 as the next digit of the answer. 
Result so far: 6880.2
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.

Step 8:
The number 81 fits into 580 7 times, leaving a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 6880.27
Deduct 567 from 580 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 9:
81 goes into 130 1 times with a remainder of 49.
The number 1 becomes the next digit in our result. 
Result so far: 6880.271
If we take 81 away from 130, we end up 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.

Let's proceed to step 10:
81 can be fit into 490 6 times, resulting in a remainder of 4.
The next digit of our result is 6. 
Result so far: 6880.2716
Subtract 486 from 490 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 11:
81 can be fit into 40 0 times, resulting in a remainder of 40.
The next digit of our result is 0. 
Result so far: 6880.2716
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 12:
81 can be fit into 400 4 times, resulting in a remainder of 76.
Write down 4 as next digit of the result. 
Result so far: 6880.271604
If we take 324 away from 400, we end up with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Let's proceed to step 13:
When dividing 760 by 81, we get 9 with a remainder of 31.
Record the quotient 9 as the next digit in the result. 
Result so far: 6880.2716049
Subtract 729 from 760 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 14:
81 goes into 310 3 times with a remainder of 67.
Record the quotient 3 as the next digit in the result. 
Result so far: 6880.27160493
Subtracting 243 from 310 leaves us with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

After the division, we end up with 6880.27160493 and a remainder of 6.7e-08.