We look at the division of 509156 by 65 
We want to divide 509156 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
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 65

Advancing to step 2:
50 divided by 65 is 0 with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 50 leaves us with 50.
Take the next digit (9) from the dividend and append it to 50, then repeat: 509 / 65

Step 3:
65 goes into 509 7 times with a remainder of 54.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we subtract 455 from 509, we get 54.
Grab the next digit (1) from the dividend, add it to 54, then carry on: 541 / 65

Moving on to step 4:
65 can be fit into 541 8 times, resulting in a remainder of 21.
The next digit of our result is 8. 
Result so far: 78.0
Subtract 520 from 541 to get 21.
Append the next digit (5) from the dividend to 21 and continue with: 215 / 65

Step 5:
If we divide 215 by 65, we get 3 and a remainder of 20.
Use 3 as the next digit of our solution. 
Result so far: 783.0
The remainder is 20 after subtracting 195 from 215.
Grab the next digit (6) from the dividend, add it to 20, then carry on: 206 / 65

Step 6:
65 can be fit into 206 3 times, resulting in a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 7833.0
The remainder is 11 after subtracting 195 from 206.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 7:
If we divide 110 by 65, we get 1 and a remainder of 45.
Record the quotient 1 as the next digit in the result. 
Result so far: 7833.1
Subtract 65 from 110 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 8:
If we divide 450 by 65, we get 6 and a remainder of 60.
Write down 6 as next digit of the result. 
Result so far: 7833.16
The remainder is 60 after subtracting 390 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 9:
When dividing 600 by 65, we get 9 with a remainder of 15.
Put 9 as the next digit of the answer. 
Result so far: 7833.169
If we take 585 away from 600, we end up 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.

Going ahead to step 10:
When dividing 150 by 65, we get 2 with a remainder of 20.
The next digit of our result is 2. 
Result so far: 7833.1692
If we subtract 130 from 150, we 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.

Let's proceed to step 11:
200 divided by 65 is 3 with a remainder of 5.
The next digit of our result is 3. 
Result so far: 7833.16923
Subtract 195 from 200 to get 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 12:
The number 65 fits into 50 0 times, leaving a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 7833.16923
Subtract 0 from 50 to 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.

Let's proceed to step 13:
The number 65 fits into 500 7 times, leaving a remainder of 45.
Write down 7 as next digit of the result. 
Result so far: 7833.1692307
Subtract 455 from 500 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 14:
The number 65 fits into 450 6 times, leaving a remainder of 60.
Use 6 as the next digit of our solution. 
Result so far: 7833.16923076
The remainder is 60 after subtracting 390 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Our division results in 7833.16923076 with a remaining 6e-08.