We divide 678658 by 15
We want to divide 678658 by 15.

Step 1:
When dividing 6 by 15, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 15

Moving on to step 2:
The number 15 fits into 67 4 times, leaving a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we take 60 away from 67, we end up with 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 15

Advancing to step 3:
15 can be fit into 78 5 times, resulting in a remainder of 3.
Use 5 as the next digit of our solution. 
Result so far: 45.0
Subtract 75 from 78 to get 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 15

On to step 4:
15 goes into 36 2 times with a remainder of 6.
The next digit of our result is 2. 
Result so far: 452.0
If we take 30 away from 36, we end up with 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 15

Going ahead to step 5:
65 divided by 15 is 4 with a remainder of 5.
Write down 4 as next digit of the result. 
Result so far: 4524.0
Deduct 60 from 65 and we're left with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 15

Advancing to step 6:
The number 15 fits into 58 3 times, leaving a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 45243.0
Deduct 45 from 58 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 7:
When dividing 130 by 15, we get 8 with a remainder of 10.
The number 8 becomes the next digit in our result. 
Result so far: 45243.8
If we subtract 120 from 130, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
100 divided by 15 is 6 with a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 45243.86
If we subtract 90 from 100, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 9:
If we divide 100 by 15, we get 6 and a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 45243.866
If we subtract 90 from 100, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 45243.866 with a balance of 0.001.