We're dividing 509979 by 84 
We're looking to find how many times 84 goes into 509979.

Going ahead to step 1:
84 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 84

On to step 2:
When dividing 50 by 84, we get 0 with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 50, we get 50.
Append the next digit (9) from the dividend to 50 and continue with: 509 / 84

Advancing to step 3:
84 can be fit into 509 6 times, resulting in a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we subtract 504 from 509, we get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 84

Going ahead to step 4:
59 divided by 84 is 0 with a remainder of 59.
Write down 0 as next digit of the result. 
Result so far: 60.0
The remainder is 59 after subtracting 0 from 59.
Bring next digit (7) of the dividend behind the 59 and repeat the process: 597 / 84

Step 5:
The number 84 fits into 597 7 times, leaving a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 607.0
Deduct 588 from 597 and we're left with 9.
Bring next digit (9) of the dividend behind the 9 and repeat the process: 99 / 84

Going ahead to step 6:
When dividing 99 by 84, we get 1 with a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 6071.0
If we take 84 away from 99, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 7:
150 divided by 84 is 1 with a remainder of 66.
Write down 1 as next digit of the result. 
Result so far: 6071.1
The remainder is 66 after subtracting 84 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Advancing to step 8:
84 can be fit into 660 7 times, resulting in a remainder of 72.
Put 7 as the next digit of the answer. 
Result so far: 6071.17
Deduct 588 from 660 and we're left with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Going ahead to step 9:
The number 84 fits into 720 8 times, leaving a remainder of 48.
Use 8 as the next digit of our solution. 
Result so far: 6071.178
Subtract 672 from 720 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 10:
If we divide 480 by 84, we get 5 and a remainder of 60.
The number 5 becomes the next digit in our result. 
Result so far: 6071.1785
Subtracting 420 from 480 leaves us 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.

Let's proceed to step 11:
If we divide 600 by 84, we get 7 and a remainder of 12.
Write down 7 as next digit of the result. 
Result so far: 6071.17857
Deduct 588 from 600 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 12:
If we divide 120 by 84, we get 1 and a remainder of 36.
Write down 1 as next digit of the result. 
Result so far: 6071.178571
If we subtract 84 from 120, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 13:
The number 84 fits into 360 4 times, leaving a remainder of 24.
Write down 4 as next digit of the result. 
Result so far: 6071.1785714
If we subtract 336 from 360, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 14:
84 goes into 240 2 times with a remainder of 72.
Write down 2 as next digit of the result. 
Result so far: 6071.17857142
If we subtract 168 from 240, we get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

In conclusion, the division gives 6071.17857142 with a balance of 7.2e-08.