We look at the division of 80678 by 45 
Our goal is to divide 80678 by 45.

On to step 1:
The number 45 fits into 8 0 times, leaving a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Append the next digit (0) from the dividend to 8 and continue with: 80 / 45

Step 2:
If we divide 80 by 45, we get 1 and a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 45 from 80 leaves us with 35.
Take the next digit (6) from the dividend and append it to 35, then repeat: 356 / 45

Going ahead to step 3:
356 divided by 45 is 7 with a remainder of 41.
The next digit of our result is 7. 
Result so far: 17.0
Subtracting 315 from 356 leaves us with 41.
Include the next digit (7) from the dividend after 41, then repeat: 417 / 45

Moving on to step 4:
45 can be fit into 417 9 times, resulting in a remainder of 12.
Write down 9 as next digit of the result. 
Result so far: 179.0
Subtracting 405 from 417 leaves us with 12.
Include the next digit (8) from the dividend after 12, then repeat: 128 / 45

Let's proceed to step 5:
When dividing 128 by 45, we get 2 with a remainder of 38.
Record the quotient 2 as the next digit in the result. 
Result so far: 1792.0
Subtracting 90 from 128 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 6:
If we divide 380 by 45, we get 8 and a remainder of 20.
The next digit of our result is 8. 
Result so far: 1792.8
If we take 360 away from 380, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 7:
When dividing 200 by 45, we get 4 with a remainder of 20.
Record the quotient 4 as the next digit in the result. 
Result so far: 1792.84
If we take 180 away from 200, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
45 goes into 200 4 times with a remainder of 20.
The next digit of our result is 4. 
Result so far: 1792.844
If we subtract 180 from 200, 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.

After the division, we end up with 1792.844 and a remainder of 0.002.