514884 ÷ 71 
Our goal is to divide 514884 by 71.

On to step 1:
71 can be fit into 5 0 times, resulting in 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.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 71

Step 2:
When dividing 51 by 71, we get 0 with a remainder of 51.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 51 after subtracting 0 from 51.
Append the next digit (4) from the dividend to 51 and continue with: 514 / 71

Let's proceed to step 3:
If we divide 514 by 71, we get 7 and a remainder of 17.
The next digit of our result is 7. 
Result so far: 7.0
Subtract 497 from 514 to get 17.
Append the next digit (8) from the dividend to 17 and continue with: 178 / 71

Step 4:
If we divide 178 by 71, we get 2 and a remainder of 36.
Record the quotient 2 as the next digit in the result. 
Result so far: 72.0
Deduct 142 from 178 and we're left with 36.
Bring next digit (8) of the dividend behind the 36 and repeat the process: 368 / 71

Advancing to step 5:
71 goes into 368 5 times with a remainder of 13.
The number 5 becomes the next digit in our result. 
Result so far: 725.0
The remainder is 13 after subtracting 355 from 368.
Append the next digit (4) from the dividend to 13 and continue with: 134 / 71

Moving on to step 6:
71 goes into 134 1 times with a remainder of 63.
The next digit of our result is 1. 
Result so far: 7251.0
Subtracting 71 from 134 leaves us with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Going ahead to step 7:
71 can be fit into 630 8 times, resulting in a remainder of 62.
Record the quotient 8 as the next digit in the result. 
Result so far: 7251.8
Subtracting 568 from 630 leaves us 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.

Step 8:
When dividing 620 by 71, we get 8 with a remainder of 52.
Record the quotient 8 as the next digit in the result. 
Result so far: 7251.88
The remainder is 52 after subtracting 568 from 620.
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 result is 7251.88 with a remainder of 0.052.