Let's divide 553566 by 81
Our goal is to divide 553566 by 81.

Let's proceed to step 1:
81 goes into 5 0 times 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.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 81

Advancing to step 2:
If we divide 55 by 81, we get 0 and a remainder of 55.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 55, we get 55.
Append the next digit (3) from the dividend to 55 and continue with: 553 / 81

Advancing to step 3:
When dividing 553 by 81, we get 6 with a remainder of 67.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we take 486 away from 553, we end up with 67.
Bring next digit (5) of the dividend behind the 67 and repeat the process: 675 / 81

Let's proceed to step 4:
The number 81 fits into 675 8 times, leaving a remainder of 27.
Use 8 as the next digit of our solution. 
Result so far: 68.0
If we take 648 away from 675, we end up with 27.
Grab the next digit (6) from the dividend, add it to 27, then carry on: 276 / 81

On to step 5:
If we divide 276 by 81, we get 3 and a remainder of 33.
The next digit of our result is 3. 
Result so far: 683.0
Subtracting 243 from 276 leaves us with 33.
Take the next digit (6) from the dividend and append it to 33, then repeat: 336 / 81

Step 6:
When dividing 336 by 81, we get 4 with a remainder of 12.
The next digit of our result is 4. 
Result so far: 6834.0
If we subtract 324 from 336, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 7:
120 divided by 81 is 1 with a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 6834.1
If we subtract 81 from 120, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 8:
81 can be fit into 390 4 times, resulting in a remainder of 66.
The next digit of our result is 4. 
Result so far: 6834.14
Subtract 324 from 390 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Let's proceed to step 9:
660 divided by 81 is 8 with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 6834.148
Subtracting 648 from 660 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 10:
81 can be fit into 120 1 times, resulting in a remainder of 39.
The next digit of our result is 1. 
Result so far: 6834.1481
Subtracting 81 from 120 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

On to step 11:
If we divide 390 by 81, we get 4 and a remainder of 66.
The next digit of our result is 4. 
Result so far: 6834.14814
Subtract 324 from 390 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Step 12:
81 goes into 660 8 times with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 6834.148148
Subtract 648 from 660 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 13:
If we divide 120 by 81, we get 1 and a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 6834.1481481
If we subtract 81 from 120, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 14:
The number 81 fits into 390 4 times, leaving a remainder of 66.
The next digit of our result is 4. 
Result so far: 6834.14814814
Deduct 324 from 390 and we're left with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

The final outcome is 6834.14814814, with a leftover of 6.6e-08.