205884 ÷ 15 
We're looking to find how many times 15 goes into 205884.

Let's proceed to step 1:
The number 15 fits into 2 0 times, leaving a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Grab the next digit (0) from the dividend, add it to 2, then carry on: 20 / 15

Let's proceed to step 2:
15 goes into 20 1 times with a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 15 from 20 and we're left with 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 15

Step 3:
15 goes into 55 3 times with a remainder of 10.
Write down 3 as next digit of the result. 
Result so far: 13.0
Deduct 45 from 55 and we're left with 10.
Bring next digit (8) of the dividend behind the 10 and repeat the process: 108 / 15

Moving on to step 4:
When dividing 108 by 15, we get 7 with a remainder of 3.
The next digit of our result is 7. 
Result so far: 137.0
If we subtract 105 from 108, we get 3.
Grab the next digit (8) from the dividend, add it to 3, then carry on: 38 / 15

Advancing to step 5:
When dividing 38 by 15, we get 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 1372.0
If we subtract 30 from 38, we get 8.
Append the next digit (4) from the dividend to 8 and continue with: 84 / 15

On to step 6:
15 goes into 84 5 times with a remainder of 9.
Put 5 as the next digit of the answer. 
Result so far: 13725.0
The remainder is 9 after subtracting 75 from 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 7:
When dividing 90 by 15, we get 6 with a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 13725.6
The remainder is 0 after subtracting 90 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 8:
15 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 13725.6
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
0 divided by 15 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 13725.6
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 13725.6 and a remainder of 0.0.