Let's divide 511718 by 83
Our goal is to divide 511718 by 83.

On to step 1:
If we divide 5 by 83, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 83

Advancing to step 2:
83 goes into 51 0 times with a remainder of 51.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 51 to get 51.
Grab the next digit (1) from the dividend, add it to 51, then carry on: 511 / 83

Advancing to step 3:
When dividing 511 by 83, we get 6 with a remainder of 13.
Put 6 as the next digit of the answer. 
Result so far: 6.0
The remainder is 13 after subtracting 498 from 511.
Append the next digit (7) from the dividend to 13 and continue with: 137 / 83

Going ahead to step 4:
137 divided by 83 is 1 with a remainder of 54.
The next digit of our result is 1. 
Result so far: 61.0
The remainder is 54 after subtracting 83 from 137.
Include the next digit (1) from the dividend after 54, then repeat: 541 / 83

On to step 5:
If we divide 541 by 83, we get 6 and a remainder of 43.
The next digit of our result is 6. 
Result so far: 616.0
If we take 498 away from 541, we end up with 43.
Bring next digit (8) of the dividend behind the 43 and repeat the process: 438 / 83

Going ahead to step 6:
When dividing 438 by 83, we get 5 with a remainder of 23.
Write down 5 as next digit of the result. 
Result so far: 6165.0
Subtracting 415 from 438 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 7:
230 divided by 83 is 2 with a remainder of 64.
Put 2 as the next digit of the answer. 
Result so far: 6165.2
Deduct 166 from 230 and we're left 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:
83 can be fit into 640 7 times, resulting in a remainder of 59.
Record the quotient 7 as the next digit in the result. 
Result so far: 6165.27
Subtracting 581 from 640 leaves us with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

On to step 9:
If we divide 590 by 83, we get 7 and a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 6165.277
The remainder is 9 after subtracting 581 from 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The final result is 6165.277 with a remainder of 0.0009.