We're dividing 17005 by 82 
We want to divide 17005 by 82.

On to step 1:
82 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 82

On to step 2:
The number 82 fits into 17 0 times, leaving a remainder of 17.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 17 to get 17.
Grab the next digit (0) from the dividend, add it to 17, then carry on: 170 / 82

Advancing to step 3:
82 can be fit into 170 2 times, resulting in a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 164 from 170 to get 6.
Grab the next digit (0) from the dividend, add it to 6, then carry on: 60 / 82

Let's proceed to step 4:
The number 82 fits into 60 0 times, leaving a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 20.0
If we take 0 away from 60, we end up with 60.
Grab the next digit (5) from the dividend, add it to 60, then carry on: 605 / 82

Let's proceed to step 5:
When dividing 605 by 82, we get 7 with a remainder of 31.
Use 7 as the next digit of our solution. 
Result so far: 207.0
If we subtract 574 from 605, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 6:
The number 82 fits into 310 3 times, leaving a remainder of 64.
Write down 3 as next digit of the result. 
Result so far: 207.3
If we take 246 away from 310, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 7:
82 goes into 640 7 times with a remainder of 66.
The next digit of our result is 7. 
Result so far: 207.37
If we take 574 away from 640, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Step 8:
If we divide 660 by 82, we get 8 and a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 207.378
Subtract 656 from 660 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 9:
82 goes into 40 0 times with a remainder of 40.
The next digit of our result is 0. 
Result so far: 207.378
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 10:
82 goes into 400 4 times with a remainder of 72.
The next digit of our result is 4. 
Result so far: 207.37804
The remainder is 72 after subtracting 328 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Let's proceed to step 11:
720 divided by 82 is 8 with a remainder of 64.
The number 8 becomes the next digit in our result. 
Result so far: 207.378048
The remainder is 64 after subtracting 656 from 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 12:
The number 82 fits into 640 7 times, leaving a remainder of 66.
The next digit of our result is 7. 
Result so far: 207.3780487
The remainder is 66 after subtracting 574 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Advancing to step 13:
82 goes into 660 8 times with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 207.37804878
Subtracting 656 from 660 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 207.37804878 and a remainder of 4e-09.