201082 ÷ 15 
Our goal is to divide 201082 by 15.

Step 1:
15 can be fit into 2 0 times, resulting in a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Append the next digit (0) from the dividend to 2 and continue with: 20 / 15

Advancing to step 2:
The number 15 fits into 20 1 times, leaving a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 15 away from 20, we end up with 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 15

Let's proceed to step 3:
If we divide 51 by 15, we get 3 and a remainder of 6.
The next digit of our result is 3. 
Result so far: 13.0
The remainder is 6 after subtracting 45 from 51.
Append the next digit (0) from the dividend to 6 and continue with: 60 / 15

Moving on to step 4:
The number 15 fits into 60 4 times, leaving a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 134.0
If we subtract 60 from 60, we get 0.
Include the next digit (8) from the dividend after 0, then repeat: 8 / 15

Moving on to step 5:
15 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 1340.0
Subtracting 0 from 8 leaves us with 8.
Take the next digit (2) from the dividend and append it to 8, then repeat: 82 / 15

Going ahead to step 6:
15 goes into 82 5 times with a remainder of 7.
Write down 5 as next digit of the result. 
Result so far: 13405.0
Subtracting 75 from 82 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 7:
15 can be fit into 70 4 times, resulting in a remainder of 10.
The next digit of our result is 4. 
Result so far: 13405.4
The remainder is 10 after subtracting 60 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
If we divide 100 by 15, we get 6 and a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 13405.46
If we subtract 90 from 100, we 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.

Advancing to step 9:
15 can be fit into 100 6 times, resulting in a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 13405.466
If we take 90 away from 100, 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.

After the division, we end up with 13405.466 and a remainder of 0.001.