We look at the division of 512226 by 83 
Our goal is to divide 512226 by 83.

Step 1:
The number 83 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 83

On to step 2:
If we divide 51 by 83, we get 0 and a remainder of 51.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 51 to get 51.
Append the next digit (2) from the dividend to 51 and continue with: 512 / 83

Let's proceed to step 3:
If we divide 512 by 83, we get 6 and a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtracting 498 from 512 leaves us with 14.
Bring next digit (2) of the dividend behind the 14 and repeat the process: 142 / 83

Step 4:
If we divide 142 by 83, we get 1 and a remainder of 59.
The next digit of our result is 1. 
Result so far: 61.0
The remainder is 59 after subtracting 83 from 142.
Fetch the next digit (2) from the dividend, attach it to 59 and continue: 592 / 83

On to step 5:
The number 83 fits into 592 7 times, leaving a remainder of 11.
The number 7 becomes the next digit in our result. 
Result so far: 617.0
Subtract 581 from 592 to get 11.
Include the next digit (6) from the dividend after 11, then repeat: 116 / 83

Going ahead to step 6:
116 divided by 83 is 1 with a remainder of 33.
Use 1 as the next digit of our solution. 
Result so far: 6171.0
If we subtract 83 from 116, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Moving on to step 7:
The number 83 fits into 330 3 times, leaving a remainder of 81.
Record the quotient 3 as the next digit in the result. 
Result so far: 6171.3
The remainder is 81 after subtracting 249 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Let's proceed to step 8:
83 goes into 810 9 times with a remainder of 63.
Write down 9 as next digit of the result. 
Result so far: 6171.39
If we subtract 747 from 810, we get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Step 9:
If we divide 630 by 83, we get 7 and a remainder of 49.
Use 7 as the next digit of our solution. 
Result so far: 6171.397
Subtract 581 from 630 to get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Going ahead to step 10:
490 divided by 83 is 5 with a remainder of 75.
Write down 5 as next digit of the result. 
Result so far: 6171.3975
If we take 415 away from 490, we end up with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Advancing to step 11:
The number 83 fits into 750 9 times, leaving a remainder of 3.
The next digit of our result is 9. 
Result so far: 6171.39759
If we take 747 away from 750, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 12:
83 goes into 30 0 times with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 6171.39759
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 13:
When dividing 300 by 83, we get 3 with a remainder of 51.
The number 3 becomes the next digit in our result. 
Result so far: 6171.3975903
Subtracting 249 from 300 leaves us with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Moving on to step 14:
510 divided by 83 is 6 with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 6171.39759036
If we take 498 away from 510, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

In conclusion, the division gives 6171.39759036 with a balance of 1.2e-08.