We're dividing 678009 by 80 
Let's see how many times 80 fits into 678009.

Step 1:
The number 80 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 80

On to step 2:
If we divide 67 by 80, we get 0 and a remainder of 67.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 67, we get 67.
Fetch the next digit (8) from the dividend, attach it to 67 and continue: 678 / 80

On to step 3:
80 goes into 678 8 times with a remainder of 38.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtract 640 from 678 to get 38.
Take the next digit (0) from the dividend and append it to 38, then repeat: 380 / 80

On to step 4:
80 goes into 380 4 times with a remainder of 60.
The number 4 becomes the next digit in our result. 
Result so far: 84.0
If we take 320 away from 380, we end up with 60.
Append the next digit (0) from the dividend to 60 and continue with: 600 / 80

Advancing to step 5:
When dividing 600 by 80, we get 7 with a remainder of 40.
Put 7 as the next digit of the answer. 
Result so far: 847.0
The remainder is 40 after subtracting 560 from 600.
Append the next digit (9) from the dividend to 40 and continue with: 409 / 80

On to step 6:
The number 80 fits into 409 5 times, leaving a remainder of 9.
Put 5 as the next digit of the answer. 
Result so far: 8475.0
Subtract 400 from 409 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 7:
When dividing 90 by 80, we get 1 with a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 8475.1
Deduct 80 from 90 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
The number 80 fits into 100 1 times, leaving a remainder of 20.
Record the quotient 1 as the next digit in the result. 
Result so far: 8475.11
If we subtract 80 from 100, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Our division results in 8475.11 with a remaining 0.02.