30674 divided by 15 
We're looking to find how many times 15 goes into 30674.

Step 1:
The number 15 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (0) from the dividend, attach it to 3 and continue: 30 / 15

Moving on to step 2:
30 divided by 15 is 2 with a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 30 away from 30, we end up with 0.
Append the next digit (6) from the dividend to 0 and continue with: 6 / 15

Moving on to step 3:
If we divide 6 by 15, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 20.0
If we subtract 0 from 6, we get 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 15

Let's proceed to step 4:
67 divided by 15 is 4 with a remainder of 7.
The number 4 becomes the next digit in our result. 
Result so far: 204.0
Subtracting 60 from 67 leaves us with 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 15

On to step 5:
15 can be fit into 74 4 times, resulting in a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 2044.0
Subtracting 60 from 74 leaves us 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 6:
15 can be fit into 140 9 times, resulting in a remainder of 5.
Use 9 as the next digit of our solution. 
Result so far: 2044.9
Subtracting 135 from 140 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.

Going ahead to step 7:
The number 15 fits into 50 3 times, leaving a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 2044.93
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.

On to step 8:
The number 15 fits into 50 3 times, leaving a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 2044.933
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.

Our division results in 2044.933 with a remaining 0.0005.