159003 divided by 17 
We're looking to find how many times 17 goes into 159003.

Advancing to step 1:
1 divided by 17 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 17

Moving on to step 2:
15 divided by 17 is 0 with a remainder of 15.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 15 to get 15.
Append the next digit (9) from the dividend to 15 and continue with: 159 / 17

On to step 3:
If we divide 159 by 17, we get 9 and a remainder of 6.
Write down 9 as next digit of the result. 
Result so far: 9.0
Deduct 153 from 159 and we're left with 6.
Include the next digit (0) from the dividend after 6, then repeat: 60 / 17

Moving on to step 4:
If we divide 60 by 17, we get 3 and a remainder of 9.
The next digit of our result is 3. 
Result so far: 93.0
Deduct 51 from 60 and we're left with 9.
Take the next digit (0) from the dividend and append it to 9, then repeat: 90 / 17

Advancing to step 5:
17 goes into 90 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 935.0
Subtract 85 from 90 to get 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 17

Step 6:
17 goes into 53 3 times with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 9353.0
Subtracting 51 from 53 leaves us 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:
If we divide 20 by 17, we get 1 and a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 9353.1
If we subtract 17 from 20, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 8:
30 divided by 17 is 1 with a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 9353.11
Subtracting 17 from 30 leaves us with 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 9353.11, and the remainder is 0.013.