We look at the division of 512331 by 71 
We're looking to find how many times 71 goes into 512331.

Going ahead to step 1:
The number 71 fits into 5 0 times, leaving 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.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 71

Advancing to step 2:
If we divide 51 by 71, we get 0 and 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.
Fetch the next digit (2) from the dividend, attach it to 51 and continue: 512 / 71

Moving on to step 3:
512 divided by 71 is 7 with a remainder of 15.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we take 497 away from 512, we end up with 15.
Take the next digit (3) from the dividend and append it to 15, then repeat: 153 / 71

Moving on to step 4:
The number 71 fits into 153 2 times, leaving a remainder of 11.
The next digit of our result is 2. 
Result so far: 72.0
If we subtract 142 from 153, we get 11.
Take the next digit (3) from the dividend and append it to 11, then repeat: 113 / 71

Advancing to step 5:
When dividing 113 by 71, we get 1 with a remainder of 42.
The number 1 becomes the next digit in our result. 
Result so far: 721.0
Subtracting 71 from 113 leaves us with 42.
Fetch the next digit (1) from the dividend, attach it to 42 and continue: 421 / 71

Let's proceed to step 6:
When dividing 421 by 71, we get 5 with a remainder of 66.
Write down 5 as next digit of the result. 
Result so far: 7215.0
Subtracting 355 from 421 leaves us 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.

Step 7:
The number 71 fits into 660 9 times, leaving a remainder of 21.
The next digit of our result is 9. 
Result so far: 7215.9
If we take 639 away from 660, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 8:
71 can be fit into 210 2 times, resulting in a remainder of 68.
Use 2 as the next digit of our solution. 
Result so far: 7215.92
Subtracting 142 from 210 leaves us 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.

Let's proceed to step 9:
When dividing 680 by 71, we get 9 with a remainder of 41.
Use 9 as the next digit of our solution. 
Result so far: 7215.929
Deduct 639 from 680 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Moving on to step 10:
410 divided by 71 is 5 with a remainder of 55.
The next digit of our result is 5. 
Result so far: 7215.9295
Deduct 355 from 410 and we're left 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.

Step 11:
71 can be fit into 550 7 times, resulting in a remainder of 53.
The number 7 becomes the next digit in our result. 
Result so far: 7215.92957
Subtract 497 from 550 to get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Moving on to step 12:
71 can be fit into 530 7 times, resulting in a remainder of 33.
The next digit of our result is 7. 
Result so far: 7215.929577
If we take 497 away from 530, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

The quotient of the division is 7215.929577, and the remainder is 3.3e-06.