We look at the division of 516909 by 45 
We're looking to find how many times 45 goes into 516909.

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
Subtracting 0 from 5 leaves us with 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 45

Moving on to step 2:
51 divided by 45 is 1 with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 45 away from 51, we end up with 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 45

On to step 3:
45 can be fit into 66 1 times, resulting in a remainder of 21.
Write down 1 as next digit of the result. 
Result so far: 11.0
Subtract 45 from 66 to get 21.
Bring next digit (9) of the dividend behind the 21 and repeat the process: 219 / 45

Going ahead to step 4:
219 divided by 45 is 4 with a remainder of 39.
The next digit of our result is 4. 
Result so far: 114.0
If we take 180 away from 219, we end up with 39.
Append the next digit (0) from the dividend to 39 and continue with: 390 / 45

On to step 5:
The number 45 fits into 390 8 times, leaving a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 1148.0
If we take 360 away from 390, we end up with 30.
Take the next digit (9) from the dividend and append it to 30, then repeat: 309 / 45

Let's proceed to step 6:
If we divide 309 by 45, we get 6 and a remainder of 39.
The next digit of our result is 6. 
Result so far: 11486.0
If we subtract 270 from 309, we get 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:
45 can be fit into 390 8 times, resulting in a remainder of 30.
Put 8 as the next digit of the answer. 
Result so far: 11486.8
If we subtract 360 from 390, we 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.

Moving on to step 8:
45 goes into 300 6 times with a remainder of 30.
The next digit of our result is 6. 
Result so far: 11486.86
If we subtract 270 from 300, we 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 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: 11486.866
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.

Our division results in 11486.866 with a remaining 0.003.