Let's divide 580659 by 82
We want to divide 580659 by 82.

Going ahead to step 1:
If we divide 5 by 82, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 82

Step 2:
58 divided by 82 is 0 with a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 58 to get 58.
Include the next digit (0) from the dividend after 58, then repeat: 580 / 82

On to step 3:
82 can be fit into 580 7 times, resulting in a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Deduct 574 from 580 and we're left with 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 82

Moving on to step 4:
The number 82 fits into 66 0 times, leaving a remainder of 66.
Put 0 as the next digit of the answer. 
Result so far: 70.0
If we subtract 0 from 66, we get 66.
Fetch the next digit (5) from the dividend, attach it to 66 and continue: 665 / 82

Going ahead to step 5:
If we divide 665 by 82, we get 8 and a remainder of 9.
Record the quotient 8 as the next digit in the result. 
Result so far: 708.0
Subtracting 656 from 665 leaves us with 9.
Grab the next digit (9) from the dividend, add it to 9, then carry on: 99 / 82

Step 6:
The number 82 fits into 99 1 times, leaving a remainder of 17.
Use 1 as the next digit of our solution. 
Result so far: 7081.0
Subtracting 82 from 99 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 7:
The number 82 fits into 170 2 times, leaving a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 7081.2
Subtracting 164 from 170 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 8:
When dividing 60 by 82, we get 0 with a remainder of 60.
The next digit of our result is 0. 
Result so far: 7081.2
Deduct 0 from 60 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 9:
If we divide 600 by 82, we get 7 and a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 7081.207
If we take 574 away from 600, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 10:
The number 82 fits into 260 3 times, leaving a remainder of 14.
The number 3 becomes the next digit in our result. 
Result so far: 7081.2073
Subtract 246 from 260 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 11:
When dividing 140 by 82, we get 1 with a remainder of 58.
Record the quotient 1 as the next digit in the result. 
Result so far: 7081.20731
Deduct 82 from 140 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Step 12:
580 divided by 82 is 7 with a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 7081.207317
Subtract 574 from 580 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 13:
82 can be fit into 60 0 times, resulting in a remainder of 60.
Put 0 as the next digit of the answer. 
Result so far: 7081.207317
If we take 0 away from 60, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 14:
The number 82 fits into 600 7 times, leaving a remainder of 26.
The number 7 becomes the next digit in our result. 
Result so far: 7081.20731707
Deduct 574 from 600 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The final result is 7081.20731707 with a remainder of 2.6e-08.