We're dividing 278313 by 45 
We want to divide 278313 by 45.

Moving on to step 1:
2 divided by 45 is 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 45

Let's proceed to step 2:
45 can be fit into 27 0 times, resulting in a remainder of 27.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 27 and we're left with 27.
Grab the next digit (8) from the dividend, add it to 27, then carry on: 278 / 45

Advancing to step 3:
45 can be fit into 278 6 times, resulting in a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 270 from 278 to get 8.
Fetch the next digit (3) from the dividend, attach it to 8 and continue: 83 / 45

Step 4:
45 goes into 83 1 times with a remainder of 38.
The number 1 becomes the next digit in our result. 
Result so far: 61.0
Deduct 45 from 83 and we're left with 38.
Bring next digit (1) of the dividend behind the 38 and repeat the process: 381 / 45

Advancing to step 5:
If we divide 381 by 45, we get 8 and a remainder of 21.
Use 8 as the next digit of our solution. 
Result so far: 618.0
Subtracting 360 from 381 leaves us with 21.
Fetch the next digit (3) from the dividend, attach it to 21 and continue: 213 / 45

Step 6:
213 divided by 45 is 4 with a remainder of 33.
Use 4 as the next digit of our solution. 
Result so far: 6184.0
Subtracting 180 from 213 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 7:
The number 45 fits into 330 7 times, leaving a remainder of 15.
Use 7 as the next digit of our solution. 
Result so far: 6184.7
The remainder is 15 after subtracting 315 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 8:
If we divide 150 by 45, we get 3 and a remainder of 15.
Use 3 as the next digit of our solution. 
Result so far: 6184.73
Subtracting 135 from 150 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 9:
If we divide 150 by 45, we get 3 and a remainder of 15.
Use 3 as the next digit of our solution. 
Result so far: 6184.733
Subtracting 135 from 150 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

In conclusion, the division gives 6184.733 with a balance of 0.0015.