We look at the division of 559134 by 83 
Let's see how many times 83 fits into 559134.

Advancing to step 1:
When dividing 5 by 83, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 83

Step 2:
83 goes into 55 0 times with a remainder of 55.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 55 after subtracting 0 from 55.
Include the next digit (9) from the dividend after 55, then repeat: 559 / 83

Going ahead to step 3:
If we divide 559 by 83, we get 6 and a remainder of 61.
The next digit of our result is 6. 
Result so far: 6.0
Subtract 498 from 559 to get 61.
Append the next digit (1) from the dividend to 61 and continue with: 611 / 83

Let's proceed to step 4:
The number 83 fits into 611 7 times, leaving a remainder of 30.
Write down 7 as next digit of the result. 
Result so far: 67.0
The remainder is 30 after subtracting 581 from 611.
Include the next digit (3) from the dividend after 30, then repeat: 303 / 83

Advancing to step 5:
303 divided by 83 is 3 with a remainder of 54.
Put 3 as the next digit of the answer. 
Result so far: 673.0
If we take 249 away from 303, we end up with 54.
Take the next digit (4) from the dividend and append it to 54, then repeat: 544 / 83

Step 6:
The number 83 fits into 544 6 times, leaving a remainder of 46.
Put 6 as the next digit of the answer. 
Result so far: 6736.0
Subtract 498 from 544 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 7:
83 goes into 460 5 times with a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 6736.5
If we subtract 415 from 460, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 8:
If we divide 450 by 83, we get 5 and a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 6736.55
Deduct 415 from 450 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Our division results in 6736.55 with a remaining 0.035.