Let's divide 514185 by 65
Our goal is to divide 514185 by 65.

Advancing to step 1:
When dividing 5 by 65, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 65

On to step 2:
The number 65 fits into 51 0 times, leaving 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 (4) from the dividend, add it to 51, then carry on: 514 / 65

Step 3:
65 goes into 514 7 times with a remainder of 59.
Put 7 as the next digit of the answer. 
Result so far: 7.0
The remainder is 59 after subtracting 455 from 514.
Bring next digit (1) of the dividend behind the 59 and repeat the process: 591 / 65

Step 4:
The number 65 fits into 591 9 times, leaving a remainder of 6.
Put 9 as the next digit of the answer. 
Result so far: 79.0
If we take 585 away from 591, we end up with 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 65

Step 5:
If we divide 68 by 65, we get 1 and a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 791.0
The remainder is 3 after subtracting 65 from 68.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 65

Step 6:
When dividing 35 by 65, we get 0 with a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 7910.0
If we take 0 away from 35, 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 7:
350 divided by 65 is 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 7910.5
Subtracting 325 from 350 leaves us 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.

Let's proceed to step 8:
The number 65 fits into 250 3 times, leaving a remainder of 55.
Write down 3 as next digit of the result. 
Result so far: 7910.53
Subtracting 195 from 250 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 9:
The number 65 fits into 550 8 times, leaving a remainder of 30.
The number 8 becomes the next digit in our result. 
Result so far: 7910.538
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.

Step 10:
If we divide 300 by 65, we get 4 and a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 7910.5384
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.

Going ahead to step 11:
65 goes into 400 6 times with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 7910.53846
The remainder is 10 after subtracting 390 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 12:
When dividing 100 by 65, we get 1 with a remainder of 35.
The number 1 becomes the next digit in our result. 
Result so far: 7910.538461
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.

Step 13:
The number 65 fits into 350 5 times, leaving a remainder of 25.
The next digit of our result is 5. 
Result so far: 7910.5384615
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.

Advancing to step 14:
250 divided by 65 is 3 with a remainder of 55.
Use 3 as the next digit of our solution. 
Result so far: 7910.53846153
If we take 195 away from 250, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Our division results in 7910.53846153 with a remaining 5.5e-08.