We're dividing 65116401 by 513 
We're looking to find how many times 513 goes into 65116401.

Step 1:
513 can be fit into 6 0 times, resulting in a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 513

Let's proceed to step 2:
65 divided by 513 is 0 with a remainder of 65.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 65 leaves us with 65.
Take the next digit (1) from the dividend and append it to 65, then repeat: 651 / 513

Let's proceed to step 3:
The number 513 fits into 651 1 times, leaving a remainder of 138.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 513 from 651 and we're left with 138.
Fetch the next digit (1) from the dividend, attach it to 138 and continue: 1381 / 513

Moving on to step 4:
When dividing 1381 by 513, we get 2 with a remainder of 355.
Write down 2 as next digit of the result. 
Result so far: 12.0
The remainder is 355 after subtracting 1026 from 1381.
Bring next digit (6) of the dividend behind the 355 and repeat the process: 3556 / 513

Step 5:
3556 divided by 513 is 6 with a remainder of 478.
The next digit of our result is 6. 
Result so far: 126.0
Subtracting 3078 from 3556 leaves us with 478.
Bring next digit (4) of the dividend behind the 478 and repeat the process: 4784 / 513

Let's proceed to step 6:
When dividing 4784 by 513, we get 9 with a remainder of 167.
The next digit of our result is 9. 
Result so far: 1269.0
If we take 4617 away from 4784, we end up with 167.
Grab the next digit (0) from the dividend, add it to 167, then carry on: 1670 / 513

Going ahead to step 7:
The number 513 fits into 1670 3 times, leaving a remainder of 131.
Put 3 as the next digit of the answer. 
Result so far: 12693.0
Deduct 1539 from 1670 and we're left with 131.
Grab the next digit (1) from the dividend, add it to 131, then carry on: 1311 / 513

Let's proceed to step 8:
When dividing 1311 by 513, we get 2 with a remainder of 285.
Record the quotient 2 as the next digit in the result. 
Result so far: 126932.0
Subtracting 1026 from 1311 leaves us with 285.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2850, and continue the process.

Step 9:
When dividing 2850 by 513, we get 5 with a remainder of 285.
The next digit of our result is 5. 
Result so far: 126932.5
Deduct 2565 from 2850 and we're left with 285.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2850, and continue the process.

Let's proceed to step 10:
2850 divided by 513 is 5 with a remainder of 285.
Use 5 as the next digit of our solution. 
Result so far: 126932.55
Subtracting 2565 from 2850 leaves us with 285.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2850, and continue the process.

In conclusion, the division gives 126932.55 with a balance of 0.285.