We divide 259921 by 15
Let's see how many times 15 fits into 259921.

On 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.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 15

Let's proceed to step 2:
If we divide 25 by 15, we get 1 and a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 15 from 25 and we're left with 10.
Take the next digit (9) from the dividend and append it to 10, then repeat: 109 / 15

Going ahead to step 3:
When dividing 109 by 15, we get 7 with a remainder of 4.
The next digit of our result is 7. 
Result so far: 17.0
The remainder is 4 after subtracting 105 from 109.
Take the next digit (9) from the dividend and append it to 4, then repeat: 49 / 15

Let's proceed to step 4:
15 can be fit into 49 3 times, resulting in a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 173.0
If we take 45 away from 49, we end up with 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 15

On to step 5:
The number 15 fits into 42 2 times, leaving a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 1732.0
Subtract 30 from 42 to get 12.
Bring next digit (1) of the dividend behind the 12 and repeat the process: 121 / 15

Let's proceed to step 6:
15 can be fit into 121 8 times, resulting in a remainder of 1.
Write down 8 as next digit of the result. 
Result so far: 17328.0
Subtracting 120 from 121 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
15 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 17328.0
If we take 0 away from 10, we end up 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:
If we divide 100 by 15, we get 6 and a remainder of 10.
The next digit of our result is 6. 
Result so far: 17328.06
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.

On to step 9:
If we divide 100 by 15, we get 6 and a remainder of 10.
The next digit of our result is 6. 
Result so far: 17328.066
Subtract 90 from 100 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 17328.066, and the remainder is 0.001.