We look at the division of 44878 by 9 
Our goal is to divide 44878 by 9.

Going ahead to step 1:
If we divide 4 by 9, we get 0 and a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (4) from the dividend, attach it to 4 and continue: 44 / 9

On to step 2:
44 divided by 9 is 4 with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we take 36 away from 44, we end up with 8.
Bring next digit (8) of the dividend behind the 8 and repeat the process: 88 / 9

Let's proceed to step 3:
If we divide 88 by 9, we get 9 and a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 49.0
If we subtract 81 from 88, we get 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 9

Step 4:
If we divide 77 by 9, we get 8 and a remainder of 5.
Write down 8 as next digit of the result. 
Result so far: 498.0
If we take 72 away from 77, we end up with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 9

Advancing to step 5:
9 goes into 58 6 times with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 4986.0
The remainder is 4 after subtracting 54 from 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 6:
9 goes into 40 4 times with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 4986.4
Deduct 36 from 40 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 7:
The number 9 fits into 40 4 times, leaving a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 4986.44
Subtracting 36 from 40 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 4986.44, and the remainder is 0.004.