We look at the division of 510183 by 65 
We want to figure out the number of times 510183 can be divided by 65.

Advancing to step 1:
When dividing 5 by 65, we get 0 with 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.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 65

Step 2:
If we divide 51 by 65, we get 0 and a remainder of 51.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 51 after subtracting 0 from 51.
Grab the next digit (0) from the dividend, add it to 51, then carry on: 510 / 65

Moving on to step 3:
65 can be fit into 510 7 times, resulting in a remainder of 55.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we take 455 away from 510, we end up with 55.
Append the next digit (1) from the dividend to 55 and continue with: 551 / 65

On to step 4:
If we divide 551 by 65, we get 8 and a remainder of 31.
Write down 8 as next digit of the result. 
Result so far: 78.0
If we take 520 away from 551, we end up with 31.
Include the next digit (8) from the dividend after 31, then repeat: 318 / 65

Advancing to step 5:
65 can be fit into 318 4 times, resulting in a remainder of 58.
The next digit of our result is 4. 
Result so far: 784.0
If we take 260 away from 318, we end up with 58.
Include the next digit (3) from the dividend after 58, then repeat: 583 / 65

Let's proceed to step 6:
65 can be fit into 583 8 times, resulting in a remainder of 63.
The number 8 becomes the next digit in our result. 
Result so far: 7848.0
If we take 520 away from 583, we end up with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Going ahead to step 7:
65 goes into 630 9 times with a remainder of 45.
Put 9 as the next digit of the answer. 
Result so far: 7848.9
Subtract 585 from 630 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.

Advancing to step 8:
If we divide 450 by 65, we get 6 and a remainder of 60.
The next digit of our result is 6. 
Result so far: 7848.96
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 9:
When dividing 600 by 65, we get 9 with a remainder of 15.
Use 9 as the next digit of our solution. 
Result so far: 7848.969
The remainder is 15 after subtracting 585 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 10:
150 divided by 65 is 2 with a remainder of 20.
The next digit of our result is 2. 
Result so far: 7848.9692
If we take 130 away from 150, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 11:
When dividing 200 by 65, we get 3 with a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 7848.96923
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.

Let's proceed to step 12:
65 can be fit into 50 0 times, resulting in a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 7848.96923
If we take 0 away from 50, we end up 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.

Moving on to step 13:
When dividing 500 by 65, we get 7 with a remainder of 45.
Write down 7 as next digit of the result. 
Result so far: 7848.9692307
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.

Advancing to step 14:
The number 65 fits into 450 6 times, leaving a remainder of 60.
Put 6 as the next digit of the answer. 
Result so far: 7848.96923076
If we subtract 390 from 450, we 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.

Our division results in 7848.96923076 with a remaining 6e-08.