506568 ÷ 82 
Our goal is to divide 506568 by 82.

Step 1:
82 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 82

On to step 2:
If we divide 50 by 82, we get 0 and a remainder of 50.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 50 after subtracting 0 from 50.
Grab the next digit (6) from the dividend, add it to 50, then carry on: 506 / 82

Step 3:
506 divided by 82 is 6 with a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we take 492 away from 506, we end up with 14.
Take the next digit (5) from the dividend and append it to 14, then repeat: 145 / 82

Step 4:
If we divide 145 by 82, we get 1 and a remainder of 63.
The next digit of our result is 1. 
Result so far: 61.0
Subtract 82 from 145 to get 63.
Append the next digit (6) from the dividend to 63 and continue with: 636 / 82

Advancing to step 5:
636 divided by 82 is 7 with a remainder of 62.
The next digit of our result is 7. 
Result so far: 617.0
The remainder is 62 after subtracting 574 from 636.
Take the next digit (8) from the dividend and append it to 62, then repeat: 628 / 82

Moving on to step 6:
82 goes into 628 7 times with a remainder of 54.
The number 7 becomes the next digit in our result. 
Result so far: 6177.0
The remainder is 54 after subtracting 574 from 628.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 7:
540 divided by 82 is 6 with a remainder of 48.
Record the quotient 6 as the next digit in the result. 
Result so far: 6177.6
Subtracting 492 from 540 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 8:
The number 82 fits into 480 5 times, leaving a remainder of 70.
Use 5 as the next digit of our solution. 
Result so far: 6177.65
Subtract 410 from 480 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 9:
82 goes into 700 8 times with a remainder of 44.
Write down 8 as next digit of the result. 
Result so far: 6177.658
If we subtract 656 from 700, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 10:
440 divided by 82 is 5 with a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 6177.6585
If we take 410 away from 440, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 11:
If we divide 300 by 82, we get 3 and a remainder of 54.
Use 3 as the next digit of our solution. 
Result so far: 6177.65853
Subtract 246 from 300 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 12:
540 divided by 82 is 6 with a remainder of 48.
Put 6 as the next digit of the answer. 
Result so far: 6177.658536
If we take 492 away from 540, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 13:
The number 82 fits into 480 5 times, leaving a remainder of 70.
Use 5 as the next digit of our solution. 
Result so far: 6177.6585365
Deduct 410 from 480 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 14:
82 can be fit into 700 8 times, resulting in a remainder of 44.
Put 8 as the next digit of the answer. 
Result so far: 6177.65853658
The remainder is 44 after subtracting 656 from 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Our division results in 6177.65853658 with a remaining 4.4e-08.