281663 divided by 17 
We're looking to find how many times 17 goes into 281663.

Step 1:
17 goes into 2 0 times with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Grab the next digit (8) from the dividend, add it to 2, then carry on: 28 / 17

Advancing to step 2:
28 divided by 17 is 1 with a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 17 from 28 to get 11.
Append the next digit (1) from the dividend to 11 and continue with: 111 / 17

Let's proceed to step 3:
17 can be fit into 111 6 times, resulting in a remainder of 9.
Put 6 as the next digit of the answer. 
Result so far: 16.0
If we subtract 102 from 111, we get 9.
Fetch the next digit (6) from the dividend, attach it to 9 and continue: 96 / 17

Step 4:
17 can be fit into 96 5 times, resulting in a remainder of 11.
The next digit of our result is 5. 
Result so far: 165.0
If we subtract 85 from 96, we get 11.
Append the next digit (6) from the dividend to 11 and continue with: 116 / 17

On to step 5:
17 can be fit into 116 6 times, resulting in a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 1656.0
Subtract 102 from 116 to get 14.
Include the next digit (3) from the dividend after 14, then repeat: 143 / 17

Moving on to step 6:
17 can be fit into 143 8 times, resulting in a remainder of 7.
Put 8 as the next digit of the answer. 
Result so far: 16568.0
The remainder is 7 after subtracting 136 from 143.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
17 goes into 70 4 times with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 16568.4
If we take 68 away from 70, we end up 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.

Moving on to step 8:
20 divided by 17 is 1 with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 16568.41
The remainder is 3 after subtracting 17 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 9:
If we divide 30 by 17, we get 1 and a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 16568.411
Deduct 17 from 30 and we're left 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 final result is 16568.411 with a remainder of 0.0013.