We're dividing 82516 by 16 
Let's see how many times 16 fits into 82516.

Let's proceed to step 1:
When dividing 8 by 16, we get 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Take the next digit (2) from the dividend and append it to 8, then repeat: 82 / 16

Step 2:
If we divide 82 by 16, we get 5 and a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Deduct 80 from 82 and we're left with 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 16

Step 3:
If we divide 25 by 16, we get 1 and a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 51.0
The remainder is 9 after subtracting 16 from 25.
Take the next digit (1) from the dividend and append it to 9, then repeat: 91 / 16

Step 4:
16 can be fit into 91 5 times, resulting in a remainder of 11.
The next digit of our result is 5. 
Result so far: 515.0
The remainder is 11 after subtracting 80 from 91.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 16

Let's proceed to step 5:
When dividing 116 by 16, we get 7 with a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 5157.0
If we subtract 112 from 116, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 6:
40 divided by 16 is 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 5157.2
Deduct 32 from 40 and we're left 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.

Moving on to step 7:
When dividing 80 by 16, we get 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 5157.25
If we subtract 80 from 80, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 5157.25
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 9:
The number 16 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 5157.25
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 5157.25, and the remainder is 0.0.