We look at the division of 509379 by 90 
We want to divide 509379 by 90.

Let's proceed to step 1:
5 divided by 90 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 90

Let's proceed to step 2:
If we divide 50 by 90, we get 0 and a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 50 leaves us with 50.
Append the next digit (9) from the dividend to 50 and continue with: 509 / 90

Moving on to step 3:
509 divided by 90 is 5 with a remainder of 59.
Use 5 as the next digit of our solution. 
Result so far: 5.0
The remainder is 59 after subtracting 450 from 509.
Bring next digit (3) of the dividend behind the 59 and repeat the process: 593 / 90

Advancing to step 4:
90 can be fit into 593 6 times, resulting in a remainder of 53.
Use 6 as the next digit of our solution. 
Result so far: 56.0
The remainder is 53 after subtracting 540 from 593.
Append the next digit (7) from the dividend to 53 and continue with: 537 / 90

Let's proceed to step 5:
The number 90 fits into 537 5 times, leaving a remainder of 87.
Put 5 as the next digit of the answer. 
Result so far: 565.0
The remainder is 87 after subtracting 450 from 537.
Take the next digit (9) from the dividend and append it to 87, then repeat: 879 / 90

Going ahead to step 6:
The number 90 fits into 879 9 times, leaving a remainder of 69.
The next digit of our result is 9. 
Result so far: 5659.0
Deduct 810 from 879 and we're left with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Advancing to step 7:
The number 90 fits into 690 7 times, leaving a remainder of 60.
Put 7 as the next digit of the answer. 
Result so far: 5659.7
Deduct 630 from 690 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 8:
90 can be fit into 600 6 times, resulting in a remainder of 60.
The next digit of our result is 6. 
Result so far: 5659.76
The remainder is 60 after subtracting 540 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 9:
If we divide 600 by 90, we get 6 and a remainder of 60.
Write down 6 as next digit of the result. 
Result so far: 5659.766
The remainder is 60 after subtracting 540 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

The final result is 5659.766 with a remainder of 0.006.