We're dividing 65415997 by 513 
Our goal is to divide 65415997 by 513.

Going ahead to step 1:
513 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 513

Step 2:
If we divide 65 by 513, we get 0 and a remainder of 65.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 65 to get 65.
Bring next digit (4) of the dividend behind the 65 and repeat the process: 654 / 513

Moving on to step 3:
513 goes into 654 1 times with a remainder of 141.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 513 from 654 and we're left with 141.
Append the next digit (1) from the dividend to 141 and continue with: 1411 / 513

Let's proceed to step 4:
513 can be fit into 1411 2 times, resulting in a remainder of 385.
The next digit of our result is 2. 
Result so far: 12.0
If we take 1026 away from 1411, we end up with 385.
Grab the next digit (5) from the dividend, add it to 385, then carry on: 3855 / 513

Moving on to step 5:
3855 divided by 513 is 7 with a remainder of 264.
Use 7 as the next digit of our solution. 
Result so far: 127.0
Subtract 3591 from 3855 to get 264.
Take the next digit (9) from the dividend and append it to 264, then repeat: 2649 / 513

Going ahead to step 6:
513 goes into 2649 5 times with a remainder of 84.
Put 5 as the next digit of the answer. 
Result so far: 1275.0
Subtracting 2565 from 2649 leaves us with 84.
Take the next digit (9) from the dividend and append it to 84, then repeat: 849 / 513

On to step 7:
513 goes into 849 1 times with a remainder of 336.
The number 1 becomes the next digit in our result. 
Result so far: 12751.0
Subtracting 513 from 849 leaves us with 336.
Bring next digit (7) of the dividend behind the 336 and repeat the process: 3367 / 513

Let's proceed to step 8:
When dividing 3367 by 513, we get 6 with a remainder of 289.
Write down 6 as next digit of the result. 
Result so far: 127516.0
If we subtract 3078 from 3367, we get 289.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2890, and continue the process.

Going ahead to step 9:
If we divide 2890 by 513, we get 5 and a remainder of 325.
Record the quotient 5 as the next digit in the result. 
Result so far: 127516.5
If we take 2565 away from 2890, we end up with 325.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3250, and continue the process.

On to step 10:
The number 513 fits into 3250 6 times, leaving a remainder of 172.
Put 6 as the next digit of the answer. 
Result so far: 127516.56
Deduct 3078 from 3250 and we're left with 172.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1720, and continue the process.

Going ahead to step 11:
If we divide 1720 by 513, we get 3 and a remainder of 181.
Use 3 as the next digit of our solution. 
Result so far: 127516.563
The remainder is 181 after subtracting 1539 from 1720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1810, and continue the process.

Let's proceed to step 12:
The number 513 fits into 1810 3 times, leaving a remainder of 271.
Use 3 as the next digit of our solution. 
Result so far: 127516.5633
The remainder is 271 after subtracting 1539 from 1810.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2710, and continue the process.

In conclusion, the division gives 127516.5633 with a balance of 0.00271.