We're dividing 642297 by 82 
We're looking to find how many times 82 goes into 642297.

Let's proceed to step 1:
When dividing 6 by 82, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 82

Moving on to step 2:
82 can be fit into 64 0 times, resulting in a remainder of 64.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 64 and we're left with 64.
Include the next digit (2) from the dividend after 64, then repeat: 642 / 82

Let's proceed to step 3:
82 can be fit into 642 7 times, resulting in a remainder of 68.
The next digit of our result is 7. 
Result so far: 7.0
Deduct 574 from 642 and we're left with 68.
Append the next digit (2) from the dividend to 68 and continue with: 682 / 82

Moving on to step 4:
When dividing 682 by 82, we get 8 with a remainder of 26.
The next digit of our result is 8. 
Result so far: 78.0
Deduct 656 from 682 and we're left with 26.
Append the next digit (9) from the dividend to 26 and continue with: 269 / 82

Step 5:
The number 82 fits into 269 3 times, leaving a remainder of 23.
Put 3 as the next digit of the answer. 
Result so far: 783.0
The remainder is 23 after subtracting 246 from 269.
Grab the next digit (7) from the dividend, add it to 23, then carry on: 237 / 82

Going ahead to step 6:
When dividing 237 by 82, we get 2 with a remainder of 73.
Use 2 as the next digit of our solution. 
Result so far: 7832.0
Subtracting 164 from 237 leaves us with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Advancing to step 7:
730 divided by 82 is 8 with a remainder of 74.
Put 8 as the next digit of the answer. 
Result so far: 7832.8
Subtract 656 from 730 to get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Going ahead to step 8:
When dividing 740 by 82, we get 9 with a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 7832.89
If we take 738 away from 740, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 9:
If we divide 20 by 82, we get 0 and a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 7832.89
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 10:
When dividing 200 by 82, we get 2 with a remainder of 36.
The next digit of our result is 2. 
Result so far: 7832.8902
If we take 164 away from 200, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 11:
If we divide 360 by 82, we get 4 and a remainder of 32.
Write down 4 as next digit of the result. 
Result so far: 7832.89024
If we subtract 328 from 360, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 12:
320 divided by 82 is 3 with a remainder of 74.
Put 3 as the next digit of the answer. 
Result so far: 7832.890243
Subtract 246 from 320 to get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Step 13:
82 goes into 740 9 times with a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 7832.8902439
The remainder is 2 after subtracting 738 from 740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 14:
20 divided by 82 is 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 7832.8902439
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

In conclusion, the division gives 7832.8902439 with a balance of 2e-08.