We're dividing 507365 by 65 
Our goal is to divide 507365 by 65.

Step 1:
When dividing 5 by 65, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 65

Going ahead to step 2:
65 can be fit into 50 0 times, resulting in a remainder of 50.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 50, we end up with 50.
Include the next digit (7) from the dividend after 50, then repeat: 507 / 65

On to step 3:
507 divided by 65 is 7 with a remainder of 52.
The next digit of our result is 7. 
Result so far: 7.0
If we take 455 away from 507, we end up with 52.
Fetch the next digit (3) from the dividend, attach it to 52 and continue: 523 / 65

Moving on to step 4:
65 goes into 523 8 times with a remainder of 3.
The number 8 becomes the next digit in our result. 
Result so far: 78.0
Subtracting 520 from 523 leaves us with 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 65

Let's proceed to step 5:
65 goes into 36 0 times with a remainder of 36.
Record the quotient 0 as the next digit in the result. 
Result so far: 780.0
Deduct 0 from 36 and we're left with 36.
Grab the next digit (5) from the dividend, add it to 36, then carry on: 365 / 65

Going ahead to step 6:
When dividing 365 by 65, we get 5 with a remainder of 40.
The next digit of our result is 5. 
Result so far: 7805.0
Subtracting 325 from 365 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.

Moving on to step 7:
65 goes into 400 6 times with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 7805.6
If we subtract 390 from 400, we 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.

Going ahead to step 8:
100 divided by 65 is 1 with a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 7805.61
If we take 65 away from 100, we end up 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.

Let's proceed to step 9:
65 can be fit into 350 5 times, resulting in a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 7805.615
Subtract 325 from 350 to 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.

Let's proceed to step 10:
The number 65 fits into 250 3 times, leaving a remainder of 55.
Use 3 as the next digit of our solution. 
Result so far: 7805.6153
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.

Step 11:
The number 65 fits into 550 8 times, leaving a remainder of 30.
Write down 8 as next digit of the result. 
Result so far: 7805.61538
Deduct 520 from 550 and we're left 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 12:
65 can be fit into 300 4 times, resulting in a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 7805.615384
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.

On to step 13:
65 can be fit into 400 6 times, resulting in a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 7805.6153846
If we subtract 390 from 400, we 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.

On to step 14:
65 can be fit into 100 1 times, resulting in a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 7805.61538461
The remainder is 35 after subtracting 65 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

After the division, we end up with 7805.61538461 and a remainder of 3.5e-08.