We're dividing 510485 by 65 
Our goal is to divide 510485 by 65.

Advancing to step 1:
65 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 65

Going ahead to step 2:
If we divide 51 by 65, we get 0 and a remainder of 51.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 51 leaves us with 51.
Take the next digit (0) from the dividend and append it to 51, then repeat: 510 / 65

On to step 3:
65 can be fit into 510 7 times, resulting in a remainder of 55.
Put 7 as the next digit of the answer. 
Result so far: 7.0
If we take 455 away from 510, we end up with 55.
Fetch the next digit (4) from the dividend, attach it to 55 and continue: 554 / 65

Going ahead to step 4:
If we divide 554 by 65, we get 8 and a remainder of 34.
The next digit of our result is 8. 
Result so far: 78.0
Subtracting 520 from 554 leaves us with 34.
Include the next digit (8) from the dividend after 34, then repeat: 348 / 65

Going ahead to step 5:
The number 65 fits into 348 5 times, leaving a remainder of 23.
Put 5 as the next digit of the answer. 
Result so far: 785.0
If we subtract 325 from 348, we get 23.
Take the next digit (5) from the dividend and append it to 23, then repeat: 235 / 65

On to step 6:
When dividing 235 by 65, we get 3 with a remainder of 40.
Use 3 as the next digit of our solution. 
Result so far: 7853.0
If we subtract 195 from 235, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 7:
The number 65 fits into 400 6 times, leaving a remainder of 10.
The next digit of our result is 6. 
Result so far: 7853.6
If we take 390 away from 400, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
When dividing 100 by 65, we get 1 with a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 7853.61
Subtract 65 from 100 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 9:
The number 65 fits into 350 5 times, leaving a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 7853.615
If we subtract 325 from 350, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 10:
When dividing 250 by 65, we get 3 with a remainder of 55.
Put 3 as the next digit of the answer. 
Result so far: 7853.6153
Subtract 195 from 250 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 11:
If we divide 550 by 65, we get 8 and a remainder of 30.
The next digit of our result is 8. 
Result so far: 7853.61538
Subtracting 520 from 550 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 12:
65 goes into 300 4 times with a remainder of 40.
Write down 4 as next digit of the result. 
Result so far: 7853.615384
If we subtract 260 from 300, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 13:
65 goes into 400 6 times with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 7853.6153846
Subtracting 390 from 400 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 14:
The number 65 fits into 100 1 times, leaving a remainder of 35.
The next digit of our result is 1. 
Result so far: 7853.61538461
Subtract 65 from 100 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

In conclusion, the division gives 7853.61538461 with a balance of 3.5e-08.