15363 ÷ 26 
We're looking to find how many times 26 goes into 15363.

Let's proceed to step 1:
26 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 26

Step 2:
26 can be fit into 15 0 times, resulting in a remainder of 15.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 15 leaves us with 15.
Fetch the next digit (3) from the dividend, attach it to 15 and continue: 153 / 26

Let's proceed to step 3:
When dividing 153 by 26, we get 5 with a remainder of 23.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we subtract 130 from 153, we get 23.
Include the next digit (6) from the dividend after 23, then repeat: 236 / 26

Step 4:
26 can be fit into 236 9 times, resulting in a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 59.0
If we subtract 234 from 236, we get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 26

Step 5:
23 divided by 26 is 0 with a remainder of 23.
Record the quotient 0 as the next digit in the result. 
Result so far: 590.0
If we subtract 0 from 23, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 6:
If we divide 230 by 26, we get 8 and a remainder of 22.
Put 8 as the next digit of the answer. 
Result so far: 590.8
The remainder is 22 after subtracting 208 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 7:
When dividing 220 by 26, we get 8 with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 590.88
Subtract 208 from 220 to 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.

In conclusion, the division gives 590.88 with a balance of 0.012.