We're dividing 17836 by 82 
We want to figure out the number of times 17836 can be divided by 82.

Advancing to step 1:
82 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 82

Step 2:
When dividing 17 by 82, we get 0 with a remainder of 17.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 17 after subtracting 0 from 17.
Append the next digit (8) from the dividend to 17 and continue with: 178 / 82

On to step 3:
When dividing 178 by 82, we get 2 with a remainder of 14.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtract 164 from 178 to get 14.
Take the next digit (3) from the dividend and append it to 14, then repeat: 143 / 82

Step 4:
82 can be fit into 143 1 times, resulting in a remainder of 61.
Put 1 as the next digit of the answer. 
Result so far: 21.0
Subtract 82 from 143 to get 61.
Bring next digit (6) of the dividend behind the 61 and repeat the process: 616 / 82

Advancing to step 5:
When dividing 616 by 82, we get 7 with a remainder of 42.
The number 7 becomes the next digit in our result. 
Result so far: 217.0
If we take 574 away from 616, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 6:
When dividing 420 by 82, we get 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 217.5
Subtract 410 from 420 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 7:
82 can be fit into 100 1 times, resulting in a remainder of 18.
The next digit of our result is 1. 
Result so far: 217.51
If we take 82 away from 100, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 8:
180 divided by 82 is 2 with a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 217.512
Deduct 164 from 180 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 9:
If we divide 160 by 82, we get 1 and a remainder of 78.
The number 1 becomes the next digit in our result. 
Result so far: 217.5121
Deduct 82 from 160 and we're left with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Going ahead to step 10:
82 goes into 780 9 times with a remainder of 42.
Use 9 as the next digit of our solution. 
Result so far: 217.51219
If we take 738 away from 780, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 11:
The number 82 fits into 420 5 times, leaving a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 217.512195
The remainder is 10 after subtracting 410 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 12:
If we divide 100 by 82, we get 1 and a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 217.5121951
Deduct 82 from 100 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 13:
82 goes into 180 2 times with a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 217.51219512
If we take 164 away from 180, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Our division results in 217.51219512 with a remaining 1.6e-08.