We look at the division of 21308262 by 517 
Let's see how many times 517 fits into 21308262.

Advancing to step 1:
If we divide 2 by 517, we get 0 and a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 517

Moving on to step 2:
517 goes into 21 0 times with a remainder of 21.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 21 and we're left with 21.
Take the next digit (3) from the dividend and append it to 21, then repeat: 213 / 517

Advancing to step 3:
If we divide 213 by 517, we get 0 and a remainder of 213.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 213 and we're left with 213.
Include the next digit (0) from the dividend after 213, then repeat: 2130 / 517

Advancing to step 4:
2130 divided by 517 is 4 with a remainder of 62.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtract 2068 from 2130 to get 62.
Grab the next digit (8) from the dividend, add it to 62, then carry on: 628 / 517

Step 5:
628 divided by 517 is 1 with a remainder of 111.
Use 1 as the next digit of our solution. 
Result so far: 41.0
Subtract 517 from 628 to get 111.
Fetch the next digit (2) from the dividend, attach it to 111 and continue: 1112 / 517

Step 6:
517 can be fit into 1112 2 times, resulting in a remainder of 78.
Write down 2 as next digit of the result. 
Result so far: 412.0
Subtract 1034 from 1112 to get 78.
Take the next digit (6) from the dividend and append it to 78, then repeat: 786 / 517

Going ahead to step 7:
The number 517 fits into 786 1 times, leaving a remainder of 269.
Put 1 as the next digit of the answer. 
Result so far: 4121.0
Deduct 517 from 786 and we're left with 269.
Take the next digit (2) from the dividend and append it to 269, then repeat: 2692 / 517

Step 8:
2692 divided by 517 is 5 with a remainder of 107.
The next digit of our result is 5. 
Result so far: 41215.0
Subtracting 2585 from 2692 leaves us with 107.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1070, and continue the process.

Going ahead to step 9:
1070 divided by 517 is 2 with a remainder of 36.
Record the quotient 2 as the next digit in the result. 
Result so far: 41215.2
Deduct 1034 from 1070 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 10:
If we divide 360 by 517, we get 0 and a remainder of 360.
Use 0 as the next digit of our solution. 
Result so far: 41215.2
Deduct 0 from 360 and we're left with 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3600, and continue the process.

Advancing to step 11:
517 can be fit into 3600 6 times, resulting in a remainder of 498.
The next digit of our result is 6. 
Result so far: 41215.206
If we subtract 3102 from 3600, we get 498.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4980, and continue the process.

Advancing to step 12:
The number 517 fits into 4980 9 times, leaving a remainder of 327.
The number 9 becomes the next digit in our result. 
Result so far: 41215.2069
If we take 4653 away from 4980, we end up with 327.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3270, and continue the process.

Advancing to step 13:
517 goes into 3270 6 times with a remainder of 168.
The number 6 becomes the next digit in our result. 
Result so far: 41215.20696
Subtract 3102 from 3270 to get 168.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1680, and continue the process.

Let's proceed to step 14:
1680 divided by 517 is 3 with a remainder of 129.
Use 3 as the next digit of our solution. 
Result so far: 41215.206963
The remainder is 129 after subtracting 1551 from 1680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1290, and continue the process.

Going ahead to step 15:
1290 divided by 517 is 2 with a remainder of 256.
Write down 2 as next digit of the result. 
Result so far: 41215.2069632
The remainder is 256 after subtracting 1034 from 1290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2560, and continue the process.

Step 16:
2560 divided by 517 is 4 with a remainder of 492.
The next digit of our result is 4. 
Result so far: 41215.20696324
Deduct 2068 from 2560 and we're left with 492.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4920, and continue the process.

The final result is 41215.20696324 with a remainder of 4.92e-07.