We look at the division of 463314 by 45 
We're looking to find how many times 45 goes into 463314.

Going ahead to step 1:
45 can be fit into 4 0 times, resulting in a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 45

Advancing to step 2:
45 goes into 46 1 times with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 45 from 46 and we're left with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 45

Advancing to step 3:
45 can be fit into 13 0 times, resulting in a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtracting 0 from 13 leaves us with 13.
Fetch the next digit (3) from the dividend, attach it to 13 and continue: 133 / 45

Going ahead to step 4:
45 goes into 133 2 times with a remainder of 43.
Record the quotient 2 as the next digit in the result. 
Result so far: 102.0
The remainder is 43 after subtracting 90 from 133.
Append the next digit (1) from the dividend to 43 and continue with: 431 / 45

On to step 5:
The number 45 fits into 431 9 times, leaving a remainder of 26.
The number 9 becomes the next digit in our result. 
Result so far: 1029.0
Subtract 405 from 431 to get 26.
Fetch the next digit (4) from the dividend, attach it to 26 and continue: 264 / 45

Let's proceed to step 6:
45 can be fit into 264 5 times, resulting in a remainder of 39.
Record the quotient 5 as the next digit in the result. 
Result so far: 10295.0
Subtracting 225 from 264 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Step 7:
390 divided by 45 is 8 with a remainder of 30.
The next digit of our result is 8. 
Result so far: 10295.8
Subtract 360 from 390 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.

Advancing to step 8:
45 goes into 300 6 times with a remainder of 30.
The number 6 becomes the next digit in our result. 
Result so far: 10295.86
Subtract 270 from 300 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.

Let's proceed to 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: 10295.866
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.

After the division, we end up with 10295.866 and a remainder of 0.003.