We look at the division of 510476 by 65 
Our goal is to divide 510476 by 65.

Let's proceed to step 1:
65 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 65

Going ahead to step 2:
65 can be fit into 51 0 times, resulting in a remainder of 51.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 51 to get 51.
Take the next digit (0) from the dividend and append it to 51, then repeat: 510 / 65

Going ahead to step 3:
The number 65 fits into 510 7 times, leaving a remainder of 55.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Subtract 455 from 510 to get 55.
Grab the next digit (4) from the dividend, add it to 55, then carry on: 554 / 65

Advancing to step 4:
The number 65 fits into 554 8 times, leaving a remainder of 34.
The next digit of our result is 8. 
Result so far: 78.0
The remainder is 34 after subtracting 520 from 554.
Grab the next digit (7) from the dividend, add it to 34, then carry on: 347 / 65

Let's proceed to step 5:
If we divide 347 by 65, we get 5 and a remainder of 22.
Use 5 as the next digit of our solution. 
Result so far: 785.0
Subtract 325 from 347 to get 22.
Fetch the next digit (6) from the dividend, attach it to 22 and continue: 226 / 65

Moving on to step 6:
226 divided by 65 is 3 with a remainder of 31.
The number 3 becomes the next digit in our result. 
Result so far: 7853.0
Deduct 195 from 226 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 7:
65 goes into 310 4 times with a remainder of 50.
The number 4 becomes the next digit in our result. 
Result so far: 7853.4
If we subtract 260 from 310, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 8:
65 can be fit into 500 7 times, resulting in a remainder of 45.
Put 7 as the next digit of the answer. 
Result so far: 7853.47
Subtracting 455 from 500 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 9:
65 can be fit into 450 6 times, resulting in a remainder of 60.
The number 6 becomes the next digit in our result. 
Result so far: 7853.476
Subtract 390 from 450 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 10:
65 can be fit into 600 9 times, resulting in a remainder of 15.
Put 9 as the next digit of the answer. 
Result so far: 7853.4769
Deduct 585 from 600 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 11:
When dividing 150 by 65, we get 2 with a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 7853.47692
Subtract 130 from 150 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 12:
65 goes into 200 3 times with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 7853.476923
If we take 195 away from 200, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 13:
When dividing 50 by 65, we get 0 with a remainder of 50.
The next digit of our result is 0. 
Result so far: 7853.476923
Deduct 0 from 50 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 14:
500 divided by 65 is 7 with a remainder of 45.
Record the quotient 7 as the next digit in the result. 
Result so far: 7853.47692307
If we take 455 away from 500, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

The quotient of the division is 7853.47692307, and the remainder is 4.5e-08.