We're dividing 369587 by 15 
Our goal is to divide 369587 by 15.

Advancing to step 1:
If we divide 3 by 15, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 15

Advancing to step 2:
15 goes into 36 2 times with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 30 from 36 to get 6.
Take the next digit (9) from the dividend and append it to 6, then repeat: 69 / 15

On to step 3:
15 goes into 69 4 times with a remainder of 9.
Put 4 as the next digit of the answer. 
Result so far: 24.0
Subtract 60 from 69 to get 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 15

Let's proceed to step 4:
The number 15 fits into 95 6 times, leaving a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 246.0
Subtracting 90 from 95 leaves us with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 15

Moving on to step 5:
If we divide 58 by 15, we get 3 and a remainder of 13.
The next digit of our result is 3. 
Result so far: 2463.0
The remainder is 13 after subtracting 45 from 58.
Append the next digit (7) from the dividend to 13 and continue with: 137 / 15

Advancing to step 6:
15 goes into 137 9 times with a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 24639.0
If we subtract 135 from 137, we get 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:
If we divide 20 by 15, we get 1 and a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 24639.1
Deduct 15 from 20 and we're left 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.

Let's proceed to step 8:
When dividing 50 by 15, we get 3 with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 24639.13
If we take 45 away from 50, 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.

Moving on to step 9:
15 goes into 50 3 times with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 24639.133
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 final result is 24639.133 with a remainder of 0.0005.