We look at the division of 153363 by 17 
We want to divide 153363 by 17.

Going ahead to step 1:
When dividing 1 by 17, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 17

Going ahead to step 2:
17 goes into 15 0 times with a remainder of 15.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 15, we end up with 15.
Include the next digit (3) from the dividend after 15, then repeat: 153 / 17

Step 3:
The number 17 fits into 153 9 times, leaving a remainder of 0.
Use 9 as the next digit of our solution. 
Result so far: 9.0
If we subtract 153 from 153, we get 0.
Fetch the next digit (3) from the dividend, attach it to 0 and continue: 3 / 17

Moving on to step 4:
When dividing 3 by 17, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 90.0
Deduct 0 from 3 and we're left with 3.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 17

On to step 5:
17 can be fit into 36 2 times, resulting in a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 902.0
If we take 34 away from 36, we end up with 2.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 17

On to step 6:
17 goes into 23 1 times with a remainder of 6.
The next digit of our result is 1. 
Result so far: 9021.0
If we take 17 away from 23, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 7:
17 goes into 60 3 times with a remainder of 9.
The number 3 becomes the next digit in our result. 
Result so far: 9021.3
The remainder is 9 after subtracting 51 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 8:
The number 17 fits into 90 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 9021.35
Subtracting 85 from 90 leaves us 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.

Going ahead to step 9:
If we divide 50 by 17, we get 2 and a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 9021.352
The remainder is 16 after subtracting 34 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 10:
160 divided by 17 is 9 with a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 9021.3529
Deduct 153 from 160 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 11:
70 divided by 17 is 4 with a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 9021.35294
Subtracting 68 from 70 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.

Advancing to step 12:
17 can be fit into 20 1 times, resulting in a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 9021.352941
Subtract 17 from 20 to 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.

Advancing to step 13:
If we divide 30 by 17, we get 1 and a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 9021.3529411
If we subtract 17 from 30, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

After the division, we end up with 9021.3529411 and a remainder of 1.3e-07.