512511 divided by 71 
Our goal is to divide 512511 by 71.

Let's proceed to step 1:
71 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 71

Step 2:
71 goes into 51 0 times with a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 51, we end up with 51.
Grab the next digit (2) from the dividend, add it to 51, then carry on: 512 / 71

Going ahead to step 3:
71 can be fit into 512 7 times, resulting in a remainder of 15.
The next digit of our result is 7. 
Result so far: 7.0
If we subtract 497 from 512, we get 15.
Fetch the next digit (5) from the dividend, attach it to 15 and continue: 155 / 71

Moving on to step 4:
The number 71 fits into 155 2 times, leaving a remainder of 13.
The next digit of our result is 2. 
Result so far: 72.0
Subtract 142 from 155 to get 13.
Take the next digit (1) from the dividend and append it to 13, then repeat: 131 / 71

On to step 5:
71 can be fit into 131 1 times, resulting in a remainder of 60.
Put 1 as the next digit of the answer. 
Result so far: 721.0
Deduct 71 from 131 and we're left with 60.
Take the next digit (1) from the dividend and append it to 60, then repeat: 601 / 71

Let's proceed to step 6:
601 divided by 71 is 8 with a remainder of 33.
Record the quotient 8 as the next digit in the result. 
Result so far: 7218.0
If we subtract 568 from 601, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 7:
330 divided by 71 is 4 with a remainder of 46.
Use 4 as the next digit of our solution. 
Result so far: 7218.4
Subtracting 284 from 330 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 8:
If we divide 460 by 71, we get 6 and a remainder of 34.
Write down 6 as next digit of the result. 
Result so far: 7218.46
Subtracting 426 from 460 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 9:
340 divided by 71 is 4 with a remainder of 56.
Write down 4 as next digit of the result. 
Result so far: 7218.464
The remainder is 56 after subtracting 284 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 10:
If we divide 560 by 71, we get 7 and a remainder of 63.
Use 7 as the next digit of our solution. 
Result so far: 7218.4647
If we subtract 497 from 560, we get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Step 11:
If we divide 630 by 71, we get 8 and a remainder of 62.
Write down 8 as next digit of the result. 
Result so far: 7218.46478
Deduct 568 from 630 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Let's proceed to step 12:
620 divided by 71 is 8 with a remainder of 52.
Put 8 as the next digit of the answer. 
Result so far: 7218.464788
If we subtract 568 from 620, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

The final outcome is 7218.464788, with a leftover of 5.2e-06.