We look at the division of 645328 by 82 
We want to figure out the number of times 645328 can be divided by 82.

On to step 1:
When dividing 6 by 82, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 82

Going ahead to step 2:
The number 82 fits into 64 0 times, leaving a remainder of 64.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 64 after subtracting 0 from 64.
Include the next digit (5) from the dividend after 64, then repeat: 645 / 82

Moving on to step 3:
645 divided by 82 is 7 with a remainder of 71.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we take 574 away from 645, we end up with 71.
Grab the next digit (3) from the dividend, add it to 71, then carry on: 713 / 82

Let's proceed to step 4:
82 can be fit into 713 8 times, resulting in a remainder of 57.
Use 8 as the next digit of our solution. 
Result so far: 78.0
If we subtract 656 from 713, we get 57.
Append the next digit (2) from the dividend to 57 and continue with: 572 / 82

Step 5:
The number 82 fits into 572 6 times, leaving a remainder of 80.
The number 6 becomes the next digit in our result. 
Result so far: 786.0
Subtract 492 from 572 to get 80.
Include the next digit (8) from the dividend after 80, then repeat: 808 / 82

On to step 6:
If we divide 808 by 82, we get 9 and a remainder of 70.
Use 9 as the next digit of our solution. 
Result so far: 7869.0
Subtract 738 from 808 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.

On to step 7:
The number 82 fits into 700 8 times, leaving a remainder of 44.
Put 8 as the next digit of the answer. 
Result so far: 7869.8
Deduct 656 from 700 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 8:
440 divided by 82 is 5 with a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 7869.85
Subtracting 410 from 440 leaves us 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.

Advancing to step 9:
When dividing 300 by 82, we get 3 with a remainder of 54.
The next digit of our result is 3. 
Result so far: 7869.853
If we take 246 away from 300, we end up with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 10:
82 can be fit into 540 6 times, resulting in a remainder of 48.
Record the quotient 6 as the next digit in the result. 
Result so far: 7869.8536
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.

Step 11:
82 goes into 480 5 times with a remainder of 70.
Put 5 as the next digit of the answer. 
Result so far: 7869.85365
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.

On to step 12:
The number 82 fits into 700 8 times, leaving a remainder of 44.
Write down 8 as next digit of the result. 
Result so far: 7869.853658
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.

Going ahead to step 13:
440 divided by 82 is 5 with a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 7869.8536585
Subtracting 410 from 440 leaves us 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.

Let's proceed to step 14:
82 goes into 300 3 times with a remainder of 54.
The next digit of our result is 3. 
Result so far: 7869.85365853
If we subtract 246 from 300, we 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.

Our division results in 7869.85365853 with a remaining 5.4e-08.