We divide 135908 by 82
Our goal is to divide 135908 by 82.

Going ahead to step 1:
If we divide 1 by 82, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 82

Let's proceed to step 2:
When dividing 13 by 82, we get 0 with a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 13 leaves us with 13.
Append the next digit (5) from the dividend to 13 and continue with: 135 / 82

Moving on to step 3:
When dividing 135 by 82, we get 1 with a remainder of 53.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 82 from 135, we get 53.
Take the next digit (9) from the dividend and append it to 53, then repeat: 539 / 82

Advancing to step 4:
When dividing 539 by 82, we get 6 with a remainder of 47.
Put 6 as the next digit of the answer. 
Result so far: 16.0
The remainder is 47 after subtracting 492 from 539.
Append the next digit (0) from the dividend to 47 and continue with: 470 / 82

Going ahead to step 5:
82 goes into 470 5 times with a remainder of 60.
The next digit of our result is 5. 
Result so far: 165.0
If we take 410 away from 470, we end up with 60.
Include the next digit (8) from the dividend after 60, then repeat: 608 / 82

Step 6:
When dividing 608 by 82, we get 7 with a remainder of 34.
Put 7 as the next digit of the answer. 
Result so far: 1657.0
The remainder is 34 after subtracting 574 from 608.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 7:
When dividing 340 by 82, we get 4 with a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 1657.4
Deduct 328 from 340 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 8:
If we divide 120 by 82, we get 1 and a remainder of 38.
Put 1 as the next digit of the answer. 
Result so far: 1657.41
Subtracting 82 from 120 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 9:
If we divide 380 by 82, we get 4 and a remainder of 52.
Put 4 as the next digit of the answer. 
Result so far: 1657.414
If we take 328 away from 380, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 10:
The number 82 fits into 520 6 times, leaving a remainder of 28.
Use 6 as the next digit of our solution. 
Result so far: 1657.4146
If we take 492 away from 520, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 11:
If we divide 280 by 82, we get 3 and a remainder of 34.
Record the quotient 3 as the next digit in the result. 
Result so far: 1657.41463
The remainder is 34 after subtracting 246 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 12:
The number 82 fits into 340 4 times, leaving a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 1657.414634
If we subtract 328 from 340, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 13:
If we divide 120 by 82, we get 1 and a remainder of 38.
Use 1 as the next digit of our solution. 
Result so far: 1657.4146341
If we take 82 away from 120, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 14:
380 divided by 82 is 4 with a remainder of 52.
Record the quotient 4 as the next digit in the result. 
Result so far: 1657.41463414
If we subtract 328 from 380, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

After the division, we end up with 1657.41463414 and a remainder of 5.2e-08.