We look at the division of 41343340 by 513 
Let's see how many times 513 fits into 41343340.

Going ahead to step 1:
4 divided by 513 is 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 513

Going ahead to step 2:
513 can be fit into 41 0 times, resulting in a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 41 after subtracting 0 from 41.
Append the next digit (3) from the dividend to 41 and continue with: 413 / 513

On to step 3:
413 divided by 513 is 0 with a remainder of 413.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 413 to get 413.
Take the next digit (4) from the dividend and append it to 413, then repeat: 4134 / 513

Going ahead to step 4:
If we divide 4134 by 513, we get 8 and a remainder of 30.
Write down 8 as next digit of the result. 
Result so far: 8.0
If we subtract 4104 from 4134, we get 30.
Include the next digit (3) from the dividend after 30, then repeat: 303 / 513

On to step 5:
303 divided by 513 is 0 with a remainder of 303.
The next digit of our result is 0. 
Result so far: 80.0
Subtracting 0 from 303 leaves us with 303.
Take the next digit (3) from the dividend and append it to 303, then repeat: 3033 / 513

Step 6:
3033 divided by 513 is 5 with a remainder of 468.
Put 5 as the next digit of the answer. 
Result so far: 805.0
If we subtract 2565 from 3033, we get 468.
Fetch the next digit (4) from the dividend, attach it to 468 and continue: 4684 / 513

Going ahead to step 7:
The number 513 fits into 4684 9 times, leaving a remainder of 67.
Record the quotient 9 as the next digit in the result. 
Result so far: 8059.0
Deduct 4617 from 4684 and we're left with 67.
Take the next digit (0) from the dividend and append it to 67, then repeat: 670 / 513

Advancing to step 8:
If we divide 670 by 513, we get 1 and a remainder of 157.
Use 1 as the next digit of our solution. 
Result so far: 80591.0
If we subtract 513 from 670, we get 157.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1570, and continue the process.

Advancing to step 9:
1570 divided by 513 is 3 with a remainder of 31.
Write down 3 as next digit of the result. 
Result so far: 80591.3
If we subtract 1539 from 1570, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 10:
The number 513 fits into 310 0 times, leaving a remainder of 310.
Record the quotient 0 as the next digit in the result. 
Result so far: 80591.3
Deduct 0 from 310 and we're left with 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3100, and continue the process.

On to step 11:
3100 divided by 513 is 6 with a remainder of 22.
Put 6 as the next digit of the answer. 
Result so far: 80591.306
Subtract 3078 from 3100 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 12:
If we divide 220 by 513, we get 0 and a remainder of 220.
The next digit of our result is 0. 
Result so far: 80591.306
If we subtract 0 from 220, we get 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2200, and continue the process.

Going ahead to step 13:
513 can be fit into 2200 4 times, resulting in a remainder of 148.
The number 4 becomes the next digit in our result. 
Result so far: 80591.30604
Deduct 2052 from 2200 and we're left with 148.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1480, and continue the process.

Step 14:
1480 divided by 513 is 2 with a remainder of 454.
The number 2 becomes the next digit in our result. 
Result so far: 80591.306042
If we take 1026 away from 1480, we end up with 454.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4540, and continue the process.

Advancing to step 15:
513 can be fit into 4540 8 times, resulting in a remainder of 436.
Put 8 as the next digit of the answer. 
Result so far: 80591.3060428
If we subtract 4104 from 4540, we get 436.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4360, and continue the process.

Moving on to step 16:
4360 divided by 513 is 8 with a remainder of 256.
The next digit of our result is 8. 
Result so far: 80591.30604288
Subtract 4104 from 4360 to get 256.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2560, and continue the process.

The quotient of the division is 80591.30604288, and the remainder is 2.56e-07.