We look at the division of 557533 by 81 
We're looking to find how many times 81 goes into 557533.

Let's proceed 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
Subtract 0 from 5 to get 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 81

On to step 2:
81 can be fit into 55 0 times, resulting in a remainder of 55.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 55 after subtracting 0 from 55.
Append the next digit (7) from the dividend to 55 and continue with: 557 / 81

Advancing to step 3:
When dividing 557 by 81, we get 6 with a remainder of 71.
Use 6 as the next digit of our solution. 
Result so far: 6.0
The remainder is 71 after subtracting 486 from 557.
Fetch the next digit (5) from the dividend, attach it to 71 and continue: 715 / 81

Advancing to step 4:
If we divide 715 by 81, we get 8 and a remainder of 67.
Use 8 as the next digit of our solution. 
Result so far: 68.0
Subtract 648 from 715 to get 67.
Take the next digit (3) from the dividend and append it to 67, then repeat: 673 / 81

Advancing to step 5:
When dividing 673 by 81, we get 8 with a remainder of 25.
Record the quotient 8 as the next digit in the result. 
Result so far: 688.0
Subtract 648 from 673 to get 25.
Take the next digit (3) from the dividend and append it to 25, then repeat: 253 / 81

Advancing to step 6:
81 goes into 253 3 times with a remainder of 10.
Put 3 as the next digit of the answer. 
Result so far: 6883.0
The remainder is 10 after subtracting 243 from 253.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
100 divided by 81 is 1 with a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 6883.1
Subtracting 81 from 100 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 8:
190 divided by 81 is 2 with a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 6883.12
The remainder is 28 after subtracting 162 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 9:
81 goes into 280 3 times with a remainder of 37.
The number 3 becomes the next digit in our result. 
Result so far: 6883.123
Subtracting 243 from 280 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 10:
81 can be fit into 370 4 times, resulting in a remainder of 46.
The next digit of our result is 4. 
Result so far: 6883.1234
The remainder is 46 after subtracting 324 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 11:
460 divided by 81 is 5 with a remainder of 55.
The number 5 becomes the next digit in our result. 
Result so far: 6883.12345
Subtract 405 from 460 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 12:
550 divided by 81 is 6 with a remainder of 64.
Put 6 as the next digit of the answer. 
Result so far: 6883.123456
If we subtract 486 from 550, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 13:
The number 81 fits into 640 7 times, leaving a remainder of 73.
The number 7 becomes the next digit in our result. 
Result so far: 6883.1234567
The remainder is 73 after subtracting 567 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Step 14:
When dividing 730 by 81, we get 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 6883.12345679
Subtract 729 from 730 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

After the division, we end up with 6883.12345679 and a remainder of 1e-09.