We look at the division of 13510 by 82 
We want to figure out the number of times 13510 can be divided by 82.

On to step 1:
82 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 82

Going ahead to step 2:
82 goes into 13 0 times with a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Bring next digit (5) of the dividend behind the 13 and repeat the process: 135 / 82

Going ahead to step 3:
82 goes into 135 1 times with a remainder of 53.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 82 from 135 to get 53.
Take the next digit (1) from the dividend and append it to 53, then repeat: 531 / 82

Let's proceed to step 4:
When dividing 531 by 82, we get 6 with a remainder of 39.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
Deduct 492 from 531 and we're left with 39.
Append the next digit (0) from the dividend to 39 and continue with: 390 / 82

On to step 5:
If we divide 390 by 82, we get 4 and a remainder of 62.
The next digit of our result is 4. 
Result so far: 164.0
Subtracting 328 from 390 leaves us with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Going ahead to step 6:
The number 82 fits into 620 7 times, leaving a remainder of 46.
The next digit of our result is 7. 
Result so far: 164.7
Subtract 574 from 620 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 7:
The number 82 fits into 460 5 times, leaving a remainder of 50.
The number 5 becomes the next digit in our result. 
Result so far: 164.75
Subtract 410 from 460 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 8:
500 divided by 82 is 6 with a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 164.756
If we subtract 492 from 500, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 9:
When dividing 80 by 82, we get 0 with a remainder of 80.
Record the quotient 0 as the next digit in the result. 
Result so far: 164.756
Subtracting 0 from 80 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

On to step 10:
If we divide 800 by 82, we get 9 and a remainder of 62.
The next digit of our result is 9. 
Result so far: 164.75609
The remainder is 62 after subtracting 738 from 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Step 11:
If we divide 620 by 82, we get 7 and a remainder of 46.
Put 7 as the next digit of the answer. 
Result so far: 164.756097
Subtracting 574 from 620 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 12:
If we divide 460 by 82, we get 5 and a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 164.7560975
The remainder is 50 after subtracting 410 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 13:
500 divided by 82 is 6 with a remainder of 8.
The next digit of our result is 6. 
Result so far: 164.75609756
Subtracting 492 from 500 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 164.75609756 with a remaining 8e-09.