We divide 512340 by 65
We want to figure out the number of times 512340 can be divided by 65.

Going ahead to step 1:
5 divided by 65 is 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 65

Going ahead to step 2:
65 can be fit into 51 0 times, resulting in a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 51 to get 51.
Grab the next digit (2) from the dividend, add it to 51, then carry on: 512 / 65

Moving on to step 3:
If we divide 512 by 65, we get 7 and a remainder of 57.
The next digit of our result is 7. 
Result so far: 7.0
If we take 455 away from 512, we end up with 57.
Grab the next digit (3) from the dividend, add it to 57, then carry on: 573 / 65

Going ahead to step 4:
65 can be fit into 573 8 times, resulting in a remainder of 53.
Put 8 as the next digit of the answer. 
Result so far: 78.0
If we take 520 away from 573, we end up with 53.
Include the next digit (4) from the dividend after 53, then repeat: 534 / 65

Moving on to step 5:
If we divide 534 by 65, we get 8 and a remainder of 14.
The next digit of our result is 8. 
Result so far: 788.0
The remainder is 14 after subtracting 520 from 534.
Bring next digit (0) of the dividend behind the 14 and repeat the process: 140 / 65

Advancing to step 6:
65 can be fit into 140 2 times, resulting in a remainder of 10.
The next digit of our result is 2. 
Result so far: 7882.0
Subtract 130 from 140 to get 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 7:
The number 65 fits into 100 1 times, leaving a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 7882.1
Deduct 65 from 100 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 8:
65 goes into 350 5 times with a remainder of 25.
The next digit of our result is 5. 
Result so far: 7882.15
Deduct 325 from 350 and we're left with 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 9:
If we divide 250 by 65, we get 3 and a remainder of 55.
Record the quotient 3 as the next digit in the result. 
Result so far: 7882.153
If we subtract 195 from 250, we 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.

Moving on to step 10:
550 divided by 65 is 8 with a remainder of 30.
Put 8 as the next digit of the answer. 
Result so far: 7882.1538
If we take 520 away from 550, we end up 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.

On to step 11:
300 divided by 65 is 4 with a remainder of 40.
The number 4 becomes the next digit in our result. 
Result so far: 7882.15384
Subtracting 260 from 300 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 12:
If we divide 400 by 65, we get 6 and a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 7882.153846
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.

Going ahead to step 13:
65 can be fit into 100 1 times, resulting in a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 7882.1538461
Subtracting 65 from 100 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 14:
65 goes into 350 5 times with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 7882.15384615
If we take 325 away from 350, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

In conclusion, the division gives 7882.15384615 with a balance of 2.5e-08.