We're dividing 82016 by 31 
Our goal is to divide 82016 by 31.

Step 1:
If we divide 8 by 31, we get 0 and a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 31

Going ahead to step 2:
When dividing 82 by 31, we get 2 with a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtracting 62 from 82 leaves us with 20.
Take the next digit (0) from the dividend and append it to 20, then repeat: 200 / 31

Moving on to step 3:
31 can be fit into 200 6 times, resulting in a remainder of 14.
The next digit of our result is 6. 
Result so far: 26.0
If we take 186 away from 200, we end up with 14.
Fetch the next digit (1) from the dividend, attach it to 14 and continue: 141 / 31

Advancing to step 4:
When dividing 141 by 31, we get 4 with a remainder of 17.
The number 4 becomes the next digit in our result. 
Result so far: 264.0
Deduct 124 from 141 and we're left with 17.
Include the next digit (6) from the dividend after 17, then repeat: 176 / 31

Let's proceed to step 5:
31 can be fit into 176 5 times, resulting in a remainder of 21.
Record the quotient 5 as the next digit in the result. 
Result so far: 2645.0
The remainder is 21 after subtracting 155 from 176.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 6:
31 can be fit into 210 6 times, resulting in a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 2645.6
Deduct 186 from 210 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 7:
When dividing 240 by 31, we get 7 with a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 2645.67
If we take 217 away from 240, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 8:
When dividing 230 by 31, we get 7 with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 2645.677
Subtract 217 from 230 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The quotient of the division is 2645.677, and the remainder is 0.0013.