We look at the division of 263271 by 15 
We want to divide 263271 by 15.

Advancing to step 1:
When dividing 2 by 15, we get 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 15

Going ahead to step 2:
26 divided by 15 is 1 with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 15 from 26 and we're left with 11.
Grab the next digit (3) from the dividend, add it to 11, then carry on: 113 / 15

Moving on to step 3:
If we divide 113 by 15, we get 7 and a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 17.0
Subtract 105 from 113 to get 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 15

Going ahead to step 4:
15 can be fit into 82 5 times, resulting in a remainder of 7.
The next digit of our result is 5. 
Result so far: 175.0
The remainder is 7 after subtracting 75 from 82.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 15

Going ahead to step 5:
77 divided by 15 is 5 with a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 1755.0
Subtracting 75 from 77 leaves us with 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 15

Let's proceed to step 6:
21 divided by 15 is 1 with a remainder of 6.
The next digit of our result is 1. 
Result so far: 17551.0
Subtract 15 from 21 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 7:
The number 15 fits into 60 4 times, leaving a remainder of 0.
The next digit of our result is 4. 
Result so far: 17551.4
Subtract 60 from 60 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 8:
When dividing 0 by 15, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 17551.4
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 9:
When dividing 0 by 15, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 17551.4
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 17551.4, with a leftover of 0.0.