We're dividing 263321 by 17 
Let's see how many times 17 fits into 263321.

Going ahead to step 1:
When dividing 2 by 17, we get 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 17

Let's proceed to step 2:
When dividing 26 by 17, we get 1 with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 17 from 26 and we're left with 9.
Grab the next digit (3) from the dividend, add it to 9, then carry on: 93 / 17

Moving on to step 3:
93 divided by 17 is 5 with a remainder of 8.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
The remainder is 8 after subtracting 85 from 93.
Bring next digit (3) of the dividend behind the 8 and repeat the process: 83 / 17

Step 4:
When dividing 83 by 17, we get 4 with a remainder of 15.
The number 4 becomes the next digit in our result. 
Result so far: 154.0
Deduct 68 from 83 and we're left with 15.
Grab the next digit (2) from the dividend, add it to 15, then carry on: 152 / 17

Going ahead to step 5:
17 goes into 152 8 times with a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 1548.0
The remainder is 16 after subtracting 136 from 152.
Include the next digit (1) from the dividend after 16, then repeat: 161 / 17

Going ahead to step 6:
The number 17 fits into 161 9 times, leaving a remainder of 8.
Put 9 as the next digit of the answer. 
Result so far: 15489.0
If we subtract 153 from 161, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 7:
17 goes into 80 4 times with a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 15489.4
If we subtract 68 from 80, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 8:
120 divided by 17 is 7 with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 15489.47
Subtracting 119 from 120 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 9:
17 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 15489.47
If we take 0 away from 10, we end up with 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 10:
100 divided by 17 is 5 with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 15489.4705
If we take 85 away from 100, we end up with 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 11:
The number 17 fits into 150 8 times, leaving a remainder of 14.
The next digit of our result is 8. 
Result so far: 15489.47058
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.

Going ahead to step 12:
17 can be fit into 140 8 times, resulting in a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 15489.470588
The remainder is 4 after subtracting 136 from 140.
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 15489.470588 and a remainder of 4e-07.