557958 ÷ 83 
Let's see how many times 83 fits into 557958.

Moving on to step 1:
5 divided by 83 is 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 83

Advancing to step 2:
83 goes into 55 0 times with a remainder of 55.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 55 and we're left with 55.
Include the next digit (7) from the dividend after 55, then repeat: 557 / 83

Step 3:
The number 83 fits into 557 6 times, leaving a remainder of 59.
Put 6 as the next digit of the answer. 
Result so far: 6.0
The remainder is 59 after subtracting 498 from 557.
Grab the next digit (9) from the dividend, add it to 59, then carry on: 599 / 83

On to step 4:
83 can be fit into 599 7 times, resulting in a remainder of 18.
Put 7 as the next digit of the answer. 
Result so far: 67.0
If we subtract 581 from 599, we get 18.
Append the next digit (5) from the dividend to 18 and continue with: 185 / 83

Going ahead to step 5:
When dividing 185 by 83, we get 2 with a remainder of 19.
The next digit of our result is 2. 
Result so far: 672.0
If we subtract 166 from 185, we get 19.
Grab the next digit (8) from the dividend, add it to 19, then carry on: 198 / 83

Step 6:
The number 83 fits into 198 2 times, leaving a remainder of 32.
The next digit of our result is 2. 
Result so far: 6722.0
Subtract 166 from 198 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 7:
If we divide 320 by 83, we get 3 and a remainder of 71.
Write down 3 as next digit of the result. 
Result so far: 6722.3
If we take 249 away from 320, we end up with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Let's proceed to step 8:
83 can be fit into 710 8 times, resulting in a remainder of 46.
Write down 8 as next digit of the result. 
Result so far: 6722.38
Subtracting 664 from 710 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 9:
The number 83 fits into 460 5 times, leaving a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 6722.385
The remainder is 45 after subtracting 415 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 10:
83 goes into 450 5 times with a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 6722.3855
If we subtract 415 from 450, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

In conclusion, the division gives 6722.3855 with a balance of 0.00035.