We look at the division of 509722 by 83 
We're looking to find how many times 83 goes into 509722.

Let's proceed to step 1:
83 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 83

Advancing to step 2:
50 divided by 83 is 0 with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 50 after subtracting 0 from 50.
Bring next digit (9) of the dividend behind the 50 and repeat the process: 509 / 83

Step 3:
When dividing 509 by 83, we get 6 with a remainder of 11.
Put 6 as the next digit of the answer. 
Result so far: 6.0
The remainder is 11 after subtracting 498 from 509.
Fetch the next digit (7) from the dividend, attach it to 11 and continue: 117 / 83

Advancing to step 4:
83 goes into 117 1 times with a remainder of 34.
The number 1 becomes the next digit in our result. 
Result so far: 61.0
Deduct 83 from 117 and we're left with 34.
Bring next digit (2) of the dividend behind the 34 and repeat the process: 342 / 83

Let's proceed to step 5:
83 can be fit into 342 4 times, resulting in a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 614.0
Subtract 332 from 342 to get 10.
Grab the next digit (2) from the dividend, add it to 10, then carry on: 102 / 83

Step 6:
83 can be fit into 102 1 times, resulting in a remainder of 19.
The next digit of our result is 1. 
Result so far: 6141.0
The remainder is 19 after subtracting 83 from 102.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 7:
If we divide 190 by 83, we get 2 and a remainder of 24.
Write down 2 as next digit of the result. 
Result so far: 6141.2
Subtract 166 from 190 to 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.

Going ahead to step 8:
When dividing 240 by 83, we get 2 with a remainder of 74.
Put 2 as the next digit of the answer. 
Result so far: 6141.22
The remainder is 74 after subtracting 166 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

The final outcome is 6141.22, with a leftover of 0.074.