We divide 509617 by 82
We want to divide 509617 by 82.

Step 1:
The number 82 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 82

Step 2:
50 divided by 82 is 0 with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 50, we end up with 50.
Take the next digit (9) from the dividend and append it to 50, then repeat: 509 / 82

Advancing to step 3:
82 goes into 509 6 times with a remainder of 17.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we take 492 away from 509, we end up with 17.
Grab the next digit (6) from the dividend, add it to 17, then carry on: 176 / 82

Going ahead to step 4:
If we divide 176 by 82, we get 2 and a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 62.0
If we take 164 away from 176, we end up with 12.
Grab the next digit (1) from the dividend, add it to 12, then carry on: 121 / 82

Let's proceed to step 5:
When dividing 121 by 82, we get 1 with a remainder of 39.
The next digit of our result is 1. 
Result so far: 621.0
Deduct 82 from 121 and we're left with 39.
Grab the next digit (7) from the dividend, add it to 39, then carry on: 397 / 82

Let's proceed to step 6:
397 divided by 82 is 4 with a remainder of 69.
Use 4 as the next digit of our solution. 
Result so far: 6214.0
If we take 328 away from 397, we end up with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Advancing to step 7:
If we divide 690 by 82, we get 8 and a remainder of 34.
The number 8 becomes the next digit in our result. 
Result so far: 6214.8
If we subtract 656 from 690, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 8:
If we divide 340 by 82, we get 4 and a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 6214.84
If we take 328 away from 340, 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.

Step 9:
120 divided by 82 is 1 with a remainder of 38.
Use 1 as the next digit of our solution. 
Result so far: 6214.841
Deduct 82 from 120 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 10:
380 divided by 82 is 4 with a remainder of 52.
Put 4 as the next digit of the answer. 
Result so far: 6214.8414
If we subtract 328 from 380, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 11:
The number 82 fits into 520 6 times, leaving a remainder of 28.
Write down 6 as next digit of the result. 
Result so far: 6214.84146
Subtracting 492 from 520 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 12:
82 goes into 280 3 times with a remainder of 34.
Write down 3 as next digit of the result. 
Result so far: 6214.841463
Subtracting 246 from 280 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 13:
When dividing 340 by 82, we get 4 with a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 6214.8414634
The remainder is 12 after subtracting 328 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 14:
When dividing 120 by 82, we get 1 with a remainder of 38.
Write down 1 as next digit of the result. 
Result so far: 6214.84146341
Deduct 82 from 120 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

The quotient of the division is 6214.84146341, and the remainder is 3.8e-08.