We're dividing 642517 by 82 
We're looking to find how many times 82 goes into 642517.

Moving on to step 1:
82 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 82

Step 2:
If we divide 64 by 82, we get 0 and a remainder of 64.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 64 leaves us with 64.
Include the next digit (2) from the dividend after 64, then repeat: 642 / 82

On to step 3:
The number 82 fits into 642 7 times, leaving a remainder of 68.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Deduct 574 from 642 and we're left with 68.
Append the next digit (5) from the dividend to 68 and continue with: 685 / 82

Advancing to step 4:
685 divided by 82 is 8 with a remainder of 29.
The next digit of our result is 8. 
Result so far: 78.0
Subtract 656 from 685 to get 29.
Grab the next digit (1) from the dividend, add it to 29, then carry on: 291 / 82

Step 5:
When dividing 291 by 82, we get 3 with a remainder of 45.
The next digit of our result is 3. 
Result so far: 783.0
Subtracting 246 from 291 leaves us with 45.
Append the next digit (7) from the dividend to 45 and continue with: 457 / 82

Step 6:
82 goes into 457 5 times with a remainder of 47.
Put 5 as the next digit of the answer. 
Result so far: 7835.0
Subtracting 410 from 457 leaves us with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Step 7:
If we divide 470 by 82, we get 5 and a remainder of 60.
Record the quotient 5 as the next digit in the result. 
Result so far: 7835.5
The remainder is 60 after subtracting 410 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 8:
If we divide 600 by 82, we get 7 and a remainder of 26.
The next digit of our result is 7. 
Result so far: 7835.57
Subtract 574 from 600 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 9:
If we divide 260 by 82, we get 3 and a remainder of 14.
Use 3 as the next digit of our solution. 
Result so far: 7835.573
If we take 246 away from 260, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 10:
When dividing 140 by 82, we get 1 with a remainder of 58.
Write down 1 as next digit of the result. 
Result so far: 7835.5731
If we subtract 82 from 140, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 11:
The number 82 fits into 580 7 times, leaving a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 7835.57317
If we take 574 away from 580, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 12:
The number 82 fits into 60 0 times, leaving a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 7835.57317
If we take 0 away from 60, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 13:
600 divided by 82 is 7 with a remainder of 26.
The number 7 becomes the next digit in our result. 
Result so far: 7835.5731707
If we subtract 574 from 600, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 14:
82 can be fit into 260 3 times, resulting in a remainder of 14.
The number 3 becomes the next digit in our result. 
Result so far: 7835.57317073
Subtracting 246 from 260 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final outcome is 7835.57317073, with a leftover of 1.4e-08.