We're dividing 57266 by 17 
We want to divide 57266 by 17.

Let's proceed to step 1:
If we divide 5 by 17, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 17

Going ahead to step 2:
If we divide 57 by 17, we get 3 and a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 3.0
Deduct 51 from 57 and we're left with 6.
Include the next digit (2) from the dividend after 6, then repeat: 62 / 17

Going ahead to step 3:
If we divide 62 by 17, we get 3 and a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 33.0
Deduct 51 from 62 and we're left with 11.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 17

On to step 4:
116 divided by 17 is 6 with a remainder of 14.
The next digit of our result is 6. 
Result so far: 336.0
Deduct 102 from 116 and we're left with 14.
Bring next digit (6) of the dividend behind the 14 and repeat the process: 146 / 17

Moving on to step 5:
17 can be fit into 146 8 times, resulting in a remainder of 10.
The number 8 becomes the next digit in our result. 
Result so far: 3368.0
The remainder is 10 after subtracting 136 from 146.
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 6:
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: 3368.5
If we subtract 85 from 100, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 7:
150 divided by 17 is 8 with a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 3368.58
If we subtract 136 from 150, we get 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 8:
If we divide 140 by 17, we get 8 and a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 3368.588
Deduct 136 from 140 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 3368.588, and the remainder is 0.0004.