We're dividing 511495 by 71 
We want to divide 511495 by 71.

Going ahead to step 1:
The number 71 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 71

Step 2:
If we divide 51 by 71, we get 0 and a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 51 after subtracting 0 from 51.
Bring next digit (1) of the dividend behind the 51 and repeat the process: 511 / 71

Advancing to step 3:
71 can be fit into 511 7 times, resulting in a remainder of 14.
The next digit of our result is 7. 
Result so far: 7.0
If we subtract 497 from 511, we get 14.
Bring next digit (4) of the dividend behind the 14 and repeat the process: 144 / 71

Let's proceed to step 4:
If we divide 144 by 71, we get 2 and a remainder of 2.
The next digit of our result is 2. 
Result so far: 72.0
If we take 142 away from 144, we end up with 2.
Append the next digit (9) from the dividend to 2 and continue with: 29 / 71

Let's proceed to step 5:
When dividing 29 by 71, we get 0 with a remainder of 29.
The number 0 becomes the next digit in our result. 
Result so far: 720.0
If we take 0 away from 29, we end up with 29.
Append the next digit (5) from the dividend to 29 and continue with: 295 / 71

On to step 6:
71 goes into 295 4 times with a remainder of 11.
The next digit of our result is 4. 
Result so far: 7204.0
Deduct 284 from 295 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.

Going ahead to step 7:
When dividing 110 by 71, we get 1 with a remainder of 39.
The next digit of our result is 1. 
Result so far: 7204.1
Subtract 71 from 110 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 8:
71 can be fit into 390 5 times, resulting in a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 7204.15
If we subtract 355 from 390, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 9:
If we divide 350 by 71, we get 4 and a remainder of 66.
Record the quotient 4 as the next digit in the result. 
Result so far: 7204.154
Subtract 284 from 350 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Advancing to step 10:
The number 71 fits into 660 9 times, leaving a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 7204.1549
Subtract 639 from 660 to 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.

On to step 11:
210 divided by 71 is 2 with a remainder of 68.
Record the quotient 2 as the next digit in the result. 
Result so far: 7204.15492
If we subtract 142 from 210, we get 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 12:
71 goes into 680 9 times with a remainder of 41.
Write down 9 as next digit of the result. 
Result so far: 7204.154929
If we subtract 639 from 680, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Going ahead to step 13:
71 can be fit into 410 5 times, resulting in a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 7204.1549295
The remainder is 55 after subtracting 355 from 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 14:
71 can be fit into 550 7 times, resulting in a remainder of 53.
Use 7 as the next digit of our solution. 
Result so far: 7204.15492957
If we take 497 away from 550, we end up with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

The final outcome is 7204.15492957, with a leftover of 5.3e-08.