We look at the division of 512453 by 45 
We want to divide 512453 by 45.

On to step 1:
45 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 45

Advancing to step 2:
If we divide 51 by 45, we get 1 and a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 45 away from 51, we end up with 6.
Include the next digit (2) from the dividend after 6, then repeat: 62 / 45

Step 3:
45 goes into 62 1 times with a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
The remainder is 17 after subtracting 45 from 62.
Bring next digit (4) of the dividend behind the 17 and repeat the process: 174 / 45

Step 4:
45 can be fit into 174 3 times, resulting in a remainder of 39.
Put 3 as the next digit of the answer. 
Result so far: 113.0
Deduct 135 from 174 and we're left with 39.
Grab the next digit (5) from the dividend, add it to 39, then carry on: 395 / 45

Step 5:
The number 45 fits into 395 8 times, leaving a remainder of 35.
Record the quotient 8 as the next digit in the result. 
Result so far: 1138.0
Subtract 360 from 395 to get 35.
Append the next digit (3) from the dividend to 35 and continue with: 353 / 45

On to step 6:
45 goes into 353 7 times with a remainder of 38.
Put 7 as the next digit of the answer. 
Result so far: 11387.0
The remainder is 38 after subtracting 315 from 353.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 7:
When dividing 380 by 45, we get 8 with a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 11387.8
The remainder is 20 after subtracting 360 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 8:
45 goes into 200 4 times with a remainder of 20.
The next digit of our result is 4. 
Result so far: 11387.84
Deduct 180 from 200 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 9:
The number 45 fits into 200 4 times, leaving a remainder of 20.
The next digit of our result is 4. 
Result so far: 11387.844
If we subtract 180 from 200, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

After the division, we end up with 11387.844 and a remainder of 0.002.