We divide 281959 by 15
We want to divide 281959 by 15.

On to step 1:
The number 15 fits into 2 0 times, leaving a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 15

Moving on to step 2:
The number 15 fits into 28 1 times, leaving a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 15 from 28 leaves us with 13.
Grab the next digit (1) from the dividend, add it to 13, then carry on: 131 / 15

Let's proceed to step 3:
15 can be fit into 131 8 times, resulting in a remainder of 11.
The next digit of our result is 8. 
Result so far: 18.0
Subtracting 120 from 131 leaves us with 11.
Append the next digit (9) from the dividend to 11 and continue with: 119 / 15

On to step 4:
If we divide 119 by 15, we get 7 and a remainder of 14.
The next digit of our result is 7. 
Result so far: 187.0
Deduct 105 from 119 and we're left with 14.
Include the next digit (5) from the dividend after 14, then repeat: 145 / 15

Step 5:
If we divide 145 by 15, we get 9 and a remainder of 10.
Write down 9 as next digit of the result. 
Result so far: 1879.0
If we take 135 away from 145, we end up with 10.
Fetch the next digit (9) from the dividend, attach it to 10 and continue: 109 / 15

On to step 6:
15 goes into 109 7 times with a remainder of 4.
Put 7 as the next digit of the answer. 
Result so far: 18797.0
The remainder is 4 after subtracting 105 from 109.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
15 can be fit into 40 2 times, resulting in a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 18797.2
Deduct 30 from 40 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 8:
The number 15 fits into 100 6 times, leaving a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 18797.26
Subtracting 90 from 100 leaves us 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 9:
When dividing 100 by 15, we get 6 with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 18797.266
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 outcome is 18797.266, with a leftover of 0.001.