We're dividing 263906 by 15 
We're looking to find how many times 15 goes into 263906.

Advancing to step 1:
15 can be fit into 2 0 times, resulting in 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.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 15

Let's proceed to step 2:
When dividing 26 by 15, we get 1 with a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 15 from 26 to get 11.
Bring next digit (3) of the dividend behind the 11 and repeat the process: 113 / 15

Moving on to step 3:
15 goes into 113 7 times with a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 17.0
If we take 105 away from 113, we end up with 8.
Append the next digit (9) from the dividend to 8 and continue with: 89 / 15

Going ahead to step 4:
The number 15 fits into 89 5 times, leaving a remainder of 14.
The number 5 becomes the next digit in our result. 
Result so far: 175.0
If we take 75 away from 89, we end up with 14.
Include the next digit (0) from the dividend after 14, then repeat: 140 / 15

Step 5:
If we divide 140 by 15, we get 9 and a remainder of 5.
The next digit of our result is 9. 
Result so far: 1759.0
Subtract 135 from 140 to get 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 15

Advancing to step 6:
15 goes into 56 3 times with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 17593.0
The remainder is 11 after subtracting 45 from 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 7:
The number 15 fits into 110 7 times, leaving a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 17593.7
Deduct 105 from 110 and we're left 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 8:
50 divided by 15 is 3 with a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 17593.73
The remainder is 5 after subtracting 45 from 50.
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:
15 goes into 50 3 times with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 17593.733
If we take 45 away from 50, we end up 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.

After the division, we end up with 17593.733 and a remainder of 0.0005.