We look at the division of 82613 by 16 
We want to divide 82613 by 16.

Advancing to step 1:
8 divided by 16 is 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 16

Advancing to step 2:
When dividing 82 by 16, we get 5 with a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 80 from 82 and we're left with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 16

Let's proceed to step 3:
26 divided by 16 is 1 with a remainder of 10.
The next digit of our result is 1. 
Result so far: 51.0
Subtracting 16 from 26 leaves us with 10.
Take the next digit (1) from the dividend and append it to 10, then repeat: 101 / 16

Moving on to step 4:
When dividing 101 by 16, we get 6 with a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 516.0
If we take 96 away from 101, we end up with 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 16

Advancing to step 5:
16 can be fit into 53 3 times, resulting in a remainder of 5.
The next digit of our result is 3. 
Result so far: 5163.0
Deduct 48 from 53 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 6:
The number 16 fits into 50 3 times, leaving a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 5163.3
Deduct 48 from 50 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
16 can be fit into 20 1 times, resulting in a remainder of 4.
The next digit of our result is 1. 
Result so far: 5163.31
If we subtract 16 from 20, 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.

Advancing to step 8:
When dividing 40 by 16, we get 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 5163.312
Subtracting 32 from 40 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.

Let's proceed to step 9:
If we divide 80 by 16, we get 5 and a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 5163.3125
Subtracting 80 from 80 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.

Going ahead to step 10:
16 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 5163.3125
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 11:
16 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 5163.3125
If we subtract 0 from 0, 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.

Our division results in 5163.3125 with a remaining 0.0.