We look at the division of 463323 by 45 
We want to figure out the number of times 463323 can be divided by 45.

Step 1:
When dividing 4 by 45, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 45

Step 2:
45 can be fit into 46 1 times, resulting in a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 1 after subtracting 45 from 46.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 45

Going ahead to step 3:
When dividing 13 by 45, we get 0 with a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we take 0 away from 13, we end up with 13.
Take the next digit (3) from the dividend and append it to 13, then repeat: 133 / 45

Going ahead to step 4:
133 divided by 45 is 2 with a remainder of 43.
Write down 2 as next digit of the result. 
Result so far: 102.0
The remainder is 43 after subtracting 90 from 133.
Append the next digit (2) from the dividend to 43 and continue with: 432 / 45

Step 5:
When dividing 432 by 45, we get 9 with a remainder of 27.
Record the quotient 9 as the next digit in the result. 
Result so far: 1029.0
Deduct 405 from 432 and we're left with 27.
Bring next digit (3) of the dividend behind the 27 and repeat the process: 273 / 45

Let's proceed to step 6:
The number 45 fits into 273 6 times, leaving a remainder of 3.
Write down 6 as next digit of the result. 
Result so far: 10296.0
Subtract 270 from 273 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
30 divided by 45 is 0 with a remainder of 30.
The next digit of our result is 0. 
Result so far: 10296.0
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 8:
The number 45 fits into 300 6 times, leaving a remainder of 30.
Write down 6 as next digit of the result. 
Result so far: 10296.06
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.

Step 9:
The number 45 fits into 300 6 times, leaving a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 10296.066
Subtracting 270 from 300 leaves us 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 quotient of the division is 10296.066, and the remainder is 0.003.