We look at the division of 479319 by 45 
Our goal is to divide 479319 by 45.

Moving on to step 1:
When dividing 4 by 45, we get 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 45

Moving on to step 2:
45 goes into 47 1 times with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 45 away from 47, we end up with 2.
Grab the next digit (9) from the dividend, add it to 2, then carry on: 29 / 45

Moving on to step 3:
The number 45 fits into 29 0 times, leaving a remainder of 29.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtracting 0 from 29 leaves us with 29.
Take the next digit (3) from the dividend and append it to 29, then repeat: 293 / 45

Step 4:
293 divided by 45 is 6 with a remainder of 23.
Put 6 as the next digit of the answer. 
Result so far: 106.0
If we subtract 270 from 293, we get 23.
Append the next digit (1) from the dividend to 23 and continue with: 231 / 45

Step 5:
231 divided by 45 is 5 with a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 1065.0
If we take 225 away from 231, we end up with 6.
Take the next digit (9) from the dividend and append it to 6, then repeat: 69 / 45

Advancing to step 6:
45 can be fit into 69 1 times, resulting in a remainder of 24.
Put 1 as the next digit of the answer. 
Result so far: 10651.0
If we subtract 45 from 69, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 7:
45 goes into 240 5 times with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 10651.5
If we subtract 225 from 240, we get 15.
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:
When dividing 150 by 45, we get 3 with a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 10651.53
If we take 135 away from 150, we end up 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.

On to step 9:
45 can be fit into 150 3 times, resulting in a remainder of 15.
Use 3 as the next digit of our solution. 
Result so far: 10651.533
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.

The final result is 10651.533 with a remainder of 0.0015.