We look at the division of 557119 by 83 
Let's see how many times 83 fits into 557119.

Moving on to step 1:
If we divide 5 by 83, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 83

Advancing to step 2:
When dividing 55 by 83, we get 0 with a remainder of 55.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 55 leaves us with 55.
Grab the next digit (7) from the dividend, add it to 55, then carry on: 557 / 83

Moving on to step 3:
When dividing 557 by 83, we get 6 with a remainder of 59.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we take 498 away from 557, we end up with 59.
Take the next digit (1) from the dividend and append it to 59, then repeat: 591 / 83

Moving on to step 4:
591 divided by 83 is 7 with a remainder of 10.
Write down 7 as next digit of the result. 
Result so far: 67.0
Subtract 581 from 591 to get 10.
Bring next digit (1) of the dividend behind the 10 and repeat the process: 101 / 83

Moving on to step 5:
83 goes into 101 1 times with a remainder of 18.
Write down 1 as next digit of the result. 
Result so far: 671.0
If we subtract 83 from 101, we get 18.
Fetch the next digit (9) from the dividend, attach it to 18 and continue: 189 / 83

Step 6:
If we divide 189 by 83, we get 2 and a remainder of 23.
The number 2 becomes the next digit in our result. 
Result so far: 6712.0
If we subtract 166 from 189, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 7:
When dividing 230 by 83, we get 2 with a remainder of 64.
The number 2 becomes the next digit in our result. 
Result so far: 6712.2
If we take 166 away from 230, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 8:
If we divide 640 by 83, we get 7 and a remainder of 59.
Use 7 as the next digit of our solution. 
Result so far: 6712.27
The remainder is 59 after subtracting 581 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Going ahead to step 9:
If we divide 590 by 83, we get 7 and a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 6712.277
If we subtract 581 from 590, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The quotient of the division is 6712.277, and the remainder is 0.0009.