We're dividing 387374 by 15 
We're looking to find how many times 15 goes into 387374.

Let's proceed to step 1:
When dividing 3 by 15, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 15

On to step 2:
15 goes into 38 2 times with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we take 30 away from 38, we end up with 8.
Fetch the next digit (7) from the dividend, attach it to 8 and continue: 87 / 15

Moving on to step 3:
When dividing 87 by 15, we get 5 with a remainder of 12.
Use 5 as the next digit of our solution. 
Result so far: 25.0
Subtract 75 from 87 to get 12.
Take the next digit (3) from the dividend and append it to 12, then repeat: 123 / 15

Step 4:
The number 15 fits into 123 8 times, leaving a remainder of 3.
Write down 8 as next digit of the result. 
Result so far: 258.0
If we subtract 120 from 123, we get 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 15

Going ahead to step 5:
15 goes into 37 2 times with a remainder of 7.
The number 2 becomes the next digit in our result. 
Result so far: 2582.0
The remainder is 7 after subtracting 30 from 37.
Include the next digit (4) from the dividend after 7, then repeat: 74 / 15

Going ahead to step 6:
74 divided by 15 is 4 with a remainder of 14.
Write down 4 as next digit of the result. 
Result so far: 25824.0
If we take 60 away from 74, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 7:
140 divided by 15 is 9 with a remainder of 5.
Put 9 as the next digit of the answer. 
Result so far: 25824.9
The remainder is 5 after subtracting 135 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
The number 15 fits into 50 3 times, leaving a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 25824.93
Deduct 45 from 50 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.

Going ahead to step 9:
When dividing 50 by 15, we get 3 with a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 25824.933
The remainder is 5 after subtracting 45 from 50.
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 25824.933 with a remainder of 0.0005.