Let's divide 516302 by 71
We're looking to find how many times 71 goes into 516302.

Advancing to step 1:
When dividing 5 by 71, 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 / 71

Moving on to step 2:
When dividing 51 by 71, we get 0 with a remainder of 51.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 51 and we're left with 51.
Include the next digit (6) from the dividend after 51, then repeat: 516 / 71

Let's proceed to step 3:
When dividing 516 by 71, we get 7 with a remainder of 19.
The next digit of our result is 7. 
Result so far: 7.0
The remainder is 19 after subtracting 497 from 516.
Include the next digit (3) from the dividend after 19, then repeat: 193 / 71

Advancing to step 4:
The number 71 fits into 193 2 times, leaving a remainder of 51.
Put 2 as the next digit of the answer. 
Result so far: 72.0
If we subtract 142 from 193, we get 51.
Take the next digit (0) from the dividend and append it to 51, then repeat: 510 / 71

Advancing to step 5:
When dividing 510 by 71, we get 7 with a remainder of 13.
The next digit of our result is 7. 
Result so far: 727.0
Subtract 497 from 510 to get 13.
Grab the next digit (2) from the dividend, add it to 13, then carry on: 132 / 71

Advancing to step 6:
132 divided by 71 is 1 with a remainder of 61.
Put 1 as the next digit of the answer. 
Result so far: 7271.0
If we take 71 away from 132, we end up with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Going ahead to step 7:
71 can be fit into 610 8 times, resulting in a remainder of 42.
The number 8 becomes the next digit in our result. 
Result so far: 7271.8
Subtracting 568 from 610 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 8:
71 goes into 420 5 times with a remainder of 65.
Record the quotient 5 as the next digit in the result. 
Result so far: 7271.85
If we take 355 away from 420, we end up with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

On to step 9:
71 can be fit into 650 9 times, resulting in a remainder of 11.
The next digit of our result is 9. 
Result so far: 7271.859
Deduct 639 from 650 and we're left with 11.
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 10:
The number 71 fits into 110 1 times, leaving a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 7271.8591
If we take 71 away from 110, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 11:
390 divided by 71 is 5 with a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 7271.85915
If we take 355 away from 390, 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 12:
The number 71 fits into 350 4 times, leaving a remainder of 66.
Put 4 as the next digit of the answer. 
Result so far: 7271.859154
If we take 284 away from 350, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Let's proceed to step 13:
If we divide 660 by 71, we get 9 and a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 7271.8591549
If we subtract 639 from 660, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 14:
210 divided by 71 is 2 with a remainder of 68.
The next digit of our result is 2. 
Result so far: 7271.85915492
Deduct 142 from 210 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

After the division, we end up with 7271.85915492 and a remainder of 6.8e-08.