590201 ÷ 15 
Our goal is to divide 590201 by 15.

On to step 1:
When dividing 5 by 15, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (9) from the dividend, add it to 5, then carry on: 59 / 15

On to step 2:
When dividing 59 by 15, we get 3 with a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 45 from 59 leaves us with 14.
Include the next digit (0) from the dividend after 14, then repeat: 140 / 15

Step 3:
15 goes into 140 9 times with a remainder of 5.
The next digit of our result is 9. 
Result so far: 39.0
If we subtract 135 from 140, we get 5.
Append the next digit (2) from the dividend to 5 and continue with: 52 / 15

Step 4:
If we divide 52 by 15, we get 3 and a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 393.0
Deduct 45 from 52 and we're left with 7.
Append the next digit (0) from the dividend to 7 and continue with: 70 / 15

Step 5:
If we divide 70 by 15, we get 4 and a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 3934.0
The remainder is 10 after subtracting 60 from 70.
Append the next digit (1) from the dividend to 10 and continue with: 101 / 15

Going ahead to step 6:
15 goes into 101 6 times with a remainder of 11.
The number 6 becomes the next digit in our result. 
Result so far: 39346.0
The remainder is 11 after subtracting 90 from 101.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 7:
15 can be fit into 110 7 times, resulting in a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 39346.7
If we take 105 away from 110, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 8:
15 can be fit into 50 3 times, resulting in a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 39346.73
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.

Going ahead to step 9:
15 goes into 50 3 times with a remainder of 5.
The next digit of our result is 3. 
Result so far: 39346.733
Subtracting 45 from 50 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The quotient of the division is 39346.733, and the remainder is 0.0005.