We look at the division of 519870 by 9 
We want to figure out the number of times 519870 can be divided by 9.

Moving on to step 1:
The number 9 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
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 / 9

Advancing to step 2:
9 goes into 51 5 times with a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
The remainder is 6 after subtracting 45 from 51.
Append the next digit (9) from the dividend to 6 and continue with: 69 / 9

Let's proceed to step 3:
When dividing 69 by 9, we get 7 with a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 57.0
Subtract 63 from 69 to get 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 9

Going ahead to step 4:
9 goes into 68 7 times with a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 577.0
Subtracting 63 from 68 leaves us with 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 9

Moving on to step 5:
9 can be fit into 57 6 times, resulting in a remainder of 3.
Use 6 as the next digit of our solution. 
Result so far: 5776.0
If we take 54 away from 57, we end up with 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 9

On to step 6:
9 can be fit into 30 3 times, resulting in a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 57763.0
If we subtract 27 from 30, we 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.

Advancing to step 7:
30 divided by 9 is 3 with a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 57763.3
Deduct 27 from 30 and we're left with 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 8:
9 can be fit into 30 3 times, resulting in a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 57763.33
Deduct 27 from 30 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final result is 57763.33 with a remainder of 0.003.