We look at the division of 278067 by 45 
We're looking to find how many times 45 goes into 278067.

Let's proceed to step 1:
The number 45 fits into 2 0 times, leaving a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 45

Let's proceed to step 2:
45 can be fit into 27 0 times, resulting in a remainder of 27.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 27 to get 27.
Grab the next digit (8) from the dividend, add it to 27, then carry on: 278 / 45

Going ahead to step 3:
The number 45 fits into 278 6 times, leaving a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 270 from 278 to get 8.
Grab the next digit (0) from the dividend, add it to 8, then carry on: 80 / 45

Moving on to step 4:
45 goes into 80 1 times with a remainder of 35.
The number 1 becomes the next digit in our result. 
Result so far: 61.0
If we subtract 45 from 80, we get 35.
Take the next digit (6) from the dividend and append it to 35, then repeat: 356 / 45

Going ahead to step 5:
356 divided by 45 is 7 with a remainder of 41.
Write down 7 as next digit of the result. 
Result so far: 617.0
Subtracting 315 from 356 leaves us with 41.
Grab the next digit (7) from the dividend, add it to 41, then carry on: 417 / 45

Step 6:
45 goes into 417 9 times with a remainder of 12.
Write down 9 as next digit of the result. 
Result so far: 6179.0
The remainder is 12 after subtracting 405 from 417.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 7:
45 can be fit into 120 2 times, resulting in a remainder of 30.
The number 2 becomes the next digit in our result. 
Result so far: 6179.2
Subtract 90 from 120 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 8:
45 goes into 300 6 times with a remainder of 30.
Put 6 as the next digit of the answer. 
Result so far: 6179.26
The remainder is 30 after subtracting 270 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 9:
If we divide 300 by 45, we get 6 and a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 6179.266
Deduct 270 from 300 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final result is 6179.266 with a remainder of 0.003.