We divide 266302 by 15
Our goal is to divide 266302 by 15.

Going ahead to step 1:
15 goes into 2 0 times with a remainder of 2.
Use 0 as the next digit of our solution. 
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

Step 2:
15 goes into 26 1 times with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 15 from 26, we get 11.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 15

On to step 3:
If we divide 116 by 15, we get 7 and a remainder of 11.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
Subtracting 105 from 116 leaves us with 11.
Append the next digit (3) from the dividend to 11 and continue with: 113 / 15

Going ahead to step 4:
If we divide 113 by 15, we get 7 and a remainder of 8.
The next digit of our result is 7. 
Result so far: 177.0
If we take 105 away from 113, we end up with 8.
Grab the next digit (0) from the dividend, add it to 8, then carry on: 80 / 15

Going ahead to step 5:
If we divide 80 by 15, we get 5 and a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 1775.0
If we take 75 away from 80, we end up with 5.
Fetch the next digit (2) from the dividend, attach it to 5 and continue: 52 / 15

Let's proceed to step 6:
When dividing 52 by 15, we get 3 with a remainder of 7.
The next digit of our result is 3. 
Result so far: 17753.0
Subtract 45 from 52 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 7:
15 goes into 70 4 times with a remainder of 10.
The next digit of our result is 4. 
Result so far: 17753.4
Deduct 60 from 70 and we're left 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.

Step 8:
The number 15 fits into 100 6 times, leaving a remainder of 10.
The next digit of our result is 6. 
Result so far: 17753.46
Deduct 90 from 100 and we're left 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.

Moving on to step 9:
The number 15 fits into 100 6 times, leaving a remainder of 10.
The next digit of our result is 6. 
Result so far: 17753.466
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 17753.466 with a remainder of 0.001.