We're dividing 509439 by 84 
Our goal is to divide 509439 by 84.

Going ahead to step 1:
84 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 84

Let's proceed to step 2:
50 divided by 84 is 0 with a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 50, we get 50.
Take the next digit (9) from the dividend and append it to 50, then repeat: 509 / 84

Advancing to step 3:
If we divide 509 by 84, we get 6 and a remainder of 5.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 504 from 509 to get 5.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 84

Moving on to step 4:
When dividing 54 by 84, we get 0 with a remainder of 54.
Write down 0 as next digit of the result. 
Result so far: 60.0
Subtracting 0 from 54 leaves us with 54.
Fetch the next digit (3) from the dividend, attach it to 54 and continue: 543 / 84

Step 5:
84 can be fit into 543 6 times, resulting in a remainder of 39.
Put 6 as the next digit of the answer. 
Result so far: 606.0
If we take 504 away from 543, we end up with 39.
Fetch the next digit (9) from the dividend, attach it to 39 and continue: 399 / 84

Going ahead to step 6:
The number 84 fits into 399 4 times, leaving a remainder of 63.
Put 4 as the next digit of the answer. 
Result so far: 6064.0
If we take 336 away from 399, we end up with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Moving on to step 7:
630 divided by 84 is 7 with a remainder of 42.
The number 7 becomes the next digit in our result. 
Result so far: 6064.7
If we subtract 588 from 630, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 8:
When dividing 420 by 84, we get 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 6064.75
Deduct 420 from 420 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 9:
When dividing 0 by 84, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 6064.75
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 10:
84 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 6064.75
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 6064.75 and a remainder of 0.0.