17838 ÷ 82 
We want to divide 17838 by 82.

Advancing to step 1:
82 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 82

Step 2:
When dividing 17 by 82, we get 0 with a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 17 leaves us with 17.
Take the next digit (8) from the dividend and append it to 17, then repeat: 178 / 82

On to step 3:
82 goes into 178 2 times with a remainder of 14.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 164 from 178 and we're left with 14.
Grab the next digit (3) from the dividend, add it to 14, then carry on: 143 / 82

Going ahead to step 4:
82 can be fit into 143 1 times, resulting in a remainder of 61.
Record the quotient 1 as the next digit in the result. 
Result so far: 21.0
Subtracting 82 from 143 leaves us with 61.
Fetch the next digit (8) from the dividend, attach it to 61 and continue: 618 / 82

Moving on to step 5:
82 can be fit into 618 7 times, resulting in a remainder of 44.
Record the quotient 7 as the next digit in the result. 
Result so far: 217.0
If we subtract 574 from 618, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 6:
If we divide 440 by 82, we get 5 and a remainder of 30.
The next digit of our result is 5. 
Result so far: 217.5
Deduct 410 from 440 and we're left 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.

Moving on to step 7:
82 can be fit into 300 3 times, resulting in a remainder of 54.
Put 3 as the next digit of the answer. 
Result so far: 217.53
The remainder is 54 after subtracting 246 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 8:
The number 82 fits into 540 6 times, leaving a remainder of 48.
Use 6 as the next digit of our solution. 
Result so far: 217.536
Deduct 492 from 540 and we're left 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.

Moving on to step 9:
82 can be fit into 480 5 times, resulting in a remainder of 70.
The number 5 becomes the next digit in our result. 
Result so far: 217.5365
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.

Let's proceed to step 10:
82 can be fit into 700 8 times, resulting in a remainder of 44.
The number 8 becomes the next digit in our result. 
Result so far: 217.53658
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.

Going ahead to step 11:
440 divided by 82 is 5 with a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 217.536585
Deduct 410 from 440 and we're left 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.

Going ahead to step 12:
When dividing 300 by 82, we get 3 with a remainder of 54.
Use 3 as the next digit of our solution. 
Result so far: 217.5365853
Subtract 246 from 300 to 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.

Advancing to step 13:
540 divided by 82 is 6 with a remainder of 48.
Put 6 as the next digit of the answer. 
Result so far: 217.53658536
Subtract 492 from 540 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

The final outcome is 217.53658536, with a leftover of 4.8e-08.