We look at the division of 506560 by 82 
We want to figure out the number of times 506560 can be divided by 82.

Moving on to step 1:
82 goes into 5 0 times with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 82

Let's proceed to step 2:
The number 82 fits into 50 0 times, leaving a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 50, we get 50.
Append the next digit (6) from the dividend to 50 and continue with: 506 / 82

Step 3:
82 goes into 506 6 times with a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 492 from 506 and we're left with 14.
Take the next digit (5) from the dividend and append it to 14, then repeat: 145 / 82

Step 4:
145 divided by 82 is 1 with a remainder of 63.
Record the quotient 1 as the next digit in the result. 
Result so far: 61.0
Deduct 82 from 145 and we're left with 63.
Include the next digit (6) from the dividend after 63, then repeat: 636 / 82

Step 5:
636 divided by 82 is 7 with a remainder of 62.
Write down 7 as next digit of the result. 
Result so far: 617.0
If we subtract 574 from 636, we get 62.
Append the next digit (0) from the dividend to 62 and continue with: 620 / 82

Step 6:
If we divide 620 by 82, we get 7 and a remainder of 46.
Write down 7 as next digit of the result. 
Result so far: 6177.0
Deduct 574 from 620 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 7:
82 can be fit into 460 5 times, resulting in a remainder of 50.
The next digit of our result is 5. 
Result so far: 6177.5
If we subtract 410 from 460, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 8:
82 goes into 500 6 times with a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 6177.56
Deduct 492 from 500 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 9:
The number 82 fits into 80 0 times, leaving a remainder of 80.
The next digit of our result is 0. 
Result so far: 6177.56
Subtract 0 from 80 to get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Let's proceed to step 10:
When dividing 800 by 82, we get 9 with a remainder of 62.
Put 9 as the next digit of the answer. 
Result so far: 6177.5609
Subtracting 738 from 800 leaves us with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Let's proceed to step 11:
The number 82 fits into 620 7 times, leaving a remainder of 46.
Put 7 as the next digit of the answer. 
Result so far: 6177.56097
The remainder is 46 after subtracting 574 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 12:
The number 82 fits into 460 5 times, leaving a remainder of 50.
The next digit of our result is 5. 
Result so far: 6177.560975
If we subtract 410 from 460, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 13:
82 can be fit into 500 6 times, resulting in a remainder of 8.
The next digit of our result is 6. 
Result so far: 6177.5609756
Deduct 492 from 500 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 14:
82 can be fit into 80 0 times, resulting in a remainder of 80.
Write down 0 as next digit of the result. 
Result so far: 6177.5609756
Deduct 0 from 80 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Our division results in 6177.5609756 with a remaining 8e-08.