We look at the division of 86316 by 82 
We want to divide 86316 by 82.

Step 1:
The number 82 fits into 8 0 times, leaving a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Take the next digit (6) from the dividend and append it to 8, then repeat: 86 / 82

Moving on to step 2:
86 divided by 82 is 1 with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 82 away from 86, we end up with 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 82

Step 3:
82 goes into 43 0 times with a remainder of 43.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we subtract 0 from 43, we get 43.
Take the next digit (1) from the dividend and append it to 43, then repeat: 431 / 82

Let's proceed to step 4:
82 can be fit into 431 5 times, resulting in a remainder of 21.
Write down 5 as next digit of the result. 
Result so far: 105.0
If we subtract 410 from 431, we get 21.
Grab the next digit (6) from the dividend, add it to 21, then carry on: 216 / 82

On to step 5:
82 goes into 216 2 times with a remainder of 52.
The next digit of our result is 2. 
Result so far: 1052.0
Subtract 164 from 216 to 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.

Step 6:
When dividing 520 by 82, we get 6 with a remainder of 28.
The next digit of our result is 6. 
Result so far: 1052.6
If we subtract 492 from 520, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 7:
The number 82 fits into 280 3 times, leaving a remainder of 34.
Put 3 as the next digit of the answer. 
Result so far: 1052.63
If we take 246 away from 280, we end up with 34.
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 8:
When dividing 340 by 82, we get 4 with a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 1052.634
Subtracting 328 from 340 leaves us 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.

Moving on to step 9:
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: 1052.6341
Deduct 82 from 120 and we're left 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.

Step 10:
When dividing 380 by 82, we get 4 with a remainder of 52.
Write down 4 as next digit of the result. 
Result so far: 1052.63414
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.

Going ahead to step 11:
82 can be fit into 520 6 times, resulting in a remainder of 28.
Record the quotient 6 as the next digit in the result. 
Result so far: 1052.634146
The remainder is 28 after subtracting 492 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 12:
The number 82 fits into 280 3 times, leaving a remainder of 34.
Use 3 as the next digit of our solution. 
Result so far: 1052.6341463
If we subtract 246 from 280, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 13:
The number 82 fits into 340 4 times, leaving a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 1052.63414634
The remainder is 12 after subtracting 328 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The quotient of the division is 1052.63414634, and the remainder is 1.2e-08.