510009 ÷ 44 
We want to figure out the number of times 510009 can be divided by 44.

Step 1:
44 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 44

Step 2:
44 goes into 51 1 times with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 44 from 51, we get 7.
Take the next digit (0) from the dividend and append it to 7, then repeat: 70 / 44

Let's proceed to step 3:
When dividing 70 by 44, we get 1 with a remainder of 26.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
The remainder is 26 after subtracting 44 from 70.
Fetch the next digit (0) from the dividend, attach it to 26 and continue: 260 / 44

Going ahead to step 4:
260 divided by 44 is 5 with a remainder of 40.
The next digit of our result is 5. 
Result so far: 115.0
If we take 220 away from 260, we end up with 40.
Append the next digit (0) from the dividend to 40 and continue with: 400 / 44

Let's proceed to step 5:
44 goes into 400 9 times with a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 1159.0
If we subtract 396 from 400, we get 4.
Bring next digit (9) of the dividend behind the 4 and repeat the process: 49 / 44

Step 6:
44 can be fit into 49 1 times, resulting in a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 11591.0
If we subtract 44 from 49, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 7:
When dividing 50 by 44, we get 1 with a remainder of 6.
The next digit of our result is 1. 
Result so far: 11591.1
The remainder is 6 after subtracting 44 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 8:
44 can be fit into 60 1 times, resulting in a remainder of 16.
Use 1 as the next digit of our solution. 
Result so far: 11591.11
Subtracting 44 from 60 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final result is 11591.11 with a remainder of 0.016.