539627 ÷ 15 
Our goal is to divide 539627 by 15.

Advancing to step 1:
15 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 15

Let's proceed to step 2:
If we divide 53 by 15, we get 3 and a remainder of 8.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we take 45 away from 53, we end up with 8.
Include the next digit (9) from the dividend after 8, then repeat: 89 / 15

On to step 3:
15 goes into 89 5 times with a remainder of 14.
The number 5 becomes the next digit in our result. 
Result so far: 35.0
Subtracting 75 from 89 leaves us with 14.
Append the next digit (6) from the dividend to 14 and continue with: 146 / 15

Moving on to step 4:
If we divide 146 by 15, we get 9 and a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 359.0
If we subtract 135 from 146, we get 11.
Grab the next digit (2) from the dividend, add it to 11, then carry on: 112 / 15

Advancing to step 5:
112 divided by 15 is 7 with a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 3597.0
If we take 105 away from 112, we end up with 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 15

On to step 6:
15 goes into 77 5 times with a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 35975.0
If we take 75 away from 77, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 7:
The number 15 fits into 20 1 times, leaving a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 35975.1
Subtract 15 from 20 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 8:
15 goes into 50 3 times with a remainder of 5.
The next digit of our result is 3. 
Result so far: 35975.13
Subtract 45 from 50 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 9:
50 divided by 15 is 3 with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 35975.133
If we subtract 45 from 50, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

After the division, we end up with 35975.133 and a remainder of 0.0005.