Let's divide 678584 by 15
We're looking to find how many times 15 goes into 678584.

On to step 1:
15 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 15

On to step 2:
15 can be fit into 67 4 times, resulting in a remainder of 7.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtract 60 from 67 to get 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 15

Moving on to step 3:
The number 15 fits into 78 5 times, leaving a remainder of 3.
Put 5 as the next digit of the answer. 
Result so far: 45.0
If we subtract 75 from 78, we get 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 15

On to step 4:
15 goes into 35 2 times with a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 452.0
Subtract 30 from 35 to get 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 15

On to step 5:
15 goes into 58 3 times with a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 4523.0
If we subtract 45 from 58, we get 13.
Bring next digit (4) of the dividend behind the 13 and repeat the process: 134 / 15

Let's proceed to step 6:
15 can be fit into 134 8 times, resulting in a remainder of 14.
Record the quotient 8 as the next digit in the result. 
Result so far: 45238.0
Subtract 120 from 134 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 7:
140 divided by 15 is 9 with a remainder of 5.
The number 9 becomes the next digit in our result. 
Result so far: 45238.9
Deduct 135 from 140 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.

On to step 8:
When dividing 50 by 15, we get 3 with a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 45238.93
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.

Moving on to step 9:
15 goes into 50 3 times with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 45238.933
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.

After the division, we end up with 45238.933 and a remainder of 0.0005.