We're dividing 513312 by 83 
We want to divide 513312 by 83.

Going ahead 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
Subtract 0 from 5 to get 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 83

Advancing to step 2:
If we divide 51 by 83, we get 0 and 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.
Take the next digit (3) from the dividend and append it to 51, then repeat: 513 / 83

Going ahead to step 3:
If we divide 513 by 83, we get 6 and a remainder of 15.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we take 498 away from 513, we end up with 15.
Bring next digit (3) of the dividend behind the 15 and repeat the process: 153 / 83

Advancing to step 4:
The number 83 fits into 153 1 times, leaving a remainder of 70.
Write down 1 as next digit of the result. 
Result so far: 61.0
Deduct 83 from 153 and we're left with 70.
Bring next digit (1) of the dividend behind the 70 and repeat the process: 701 / 83

Moving on to step 5:
83 goes into 701 8 times with a remainder of 37.
The next digit of our result is 8. 
Result so far: 618.0
Subtracting 664 from 701 leaves us with 37.
Bring next digit (2) of the dividend behind the 37 and repeat the process: 372 / 83

Let's proceed to step 6:
83 can be fit into 372 4 times, resulting in a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 6184.0
If we take 332 away from 372, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 7:
If we divide 400 by 83, we get 4 and a remainder of 68.
Record the quotient 4 as the next digit in the result. 
Result so far: 6184.4
Subtracting 332 from 400 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 8:
83 goes into 680 8 times with a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 6184.48
Deduct 664 from 680 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 9:
The number 83 fits into 160 1 times, leaving a remainder of 77.
The number 1 becomes the next digit in our result. 
Result so far: 6184.481
Subtract 83 from 160 to get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Step 10:
When dividing 770 by 83, we get 9 with a remainder of 23.
Record the quotient 9 as the next digit in the result. 
Result so far: 6184.4819
If we subtract 747 from 770, 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.

Advancing to step 11:
83 goes into 230 2 times with a remainder of 64.
Put 2 as the next digit of the answer. 
Result so far: 6184.48192
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 12:
The number 83 fits into 640 7 times, leaving a remainder of 59.
The number 7 becomes the next digit in our result. 
Result so far: 6184.481927
Deduct 581 from 640 and we're left 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.

Let's proceed to step 13:
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: 6184.4819277
Subtract 581 from 590 to 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 final result is 6184.4819277 with a remainder of 9e-08.