We're dividing 82519 by 17 
Let's see how many times 17 fits into 82519.

Going ahead to step 1:
17 goes into 8 0 times with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Take the next digit (2) from the dividend and append it to 8, then repeat: 82 / 17

On to step 2:
17 can be fit into 82 4 times, resulting in a remainder of 14.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we take 68 away from 82, we end up with 14.
Bring next digit (5) of the dividend behind the 14 and repeat the process: 145 / 17

Step 3:
When dividing 145 by 17, we get 8 with a remainder of 9.
Put 8 as the next digit of the answer. 
Result so far: 48.0
Subtract 136 from 145 to get 9.
Include the next digit (1) from the dividend after 9, then repeat: 91 / 17

On to step 4:
When dividing 91 by 17, we get 5 with a remainder of 6.
Write down 5 as next digit of the result. 
Result so far: 485.0
Subtracting 85 from 91 leaves us with 6.
Append the next digit (9) from the dividend to 6 and continue with: 69 / 17

On to step 5:
69 divided by 17 is 4 with a remainder of 1.
Use 4 as the next digit of our solution. 
Result so far: 4854.0
Subtract 68 from 69 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 6:
17 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 4854.0
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 7:
If we divide 100 by 17, we get 5 and a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 4854.05
The remainder is 15 after subtracting 85 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 8:
The number 17 fits into 150 8 times, leaving a remainder of 14.
Record the quotient 8 as the next digit in the result. 
Result so far: 4854.058
Deduct 136 from 150 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 9:
When dividing 140 by 17, we get 8 with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 4854.0588
If we subtract 136 from 140, 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.

After the division, we end up with 4854.0588 and a remainder of 4e-05.