We're dividing 514323 by 71 
We want to divide 514323 by 71.

On to step 1:
71 goes into 5 0 times with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 71

On to step 2:
51 divided by 71 is 0 with a remainder of 51.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 51 leaves us with 51.
Include the next digit (4) from the dividend after 51, then repeat: 514 / 71

Moving on to step 3:
The number 71 fits into 514 7 times, leaving a remainder of 17.
The next digit of our result is 7. 
Result so far: 7.0
If we take 497 away from 514, we end up with 17.
Grab the next digit (3) from the dividend, add it to 17, then carry on: 173 / 71

Step 4:
71 goes into 173 2 times with a remainder of 31.
Record the quotient 2 as the next digit in the result. 
Result so far: 72.0
Subtract 142 from 173 to get 31.
Include the next digit (2) from the dividend after 31, then repeat: 312 / 71

Moving on to step 5:
71 goes into 312 4 times with a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 724.0
If we subtract 284 from 312, we get 28.
Bring next digit (3) of the dividend behind the 28 and repeat the process: 283 / 71

Step 6:
283 divided by 71 is 3 with a remainder of 70.
Put 3 as the next digit of the answer. 
Result so far: 7243.0
Subtracting 213 from 283 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Moving on to step 7:
The number 71 fits into 700 9 times, leaving a remainder of 61.
Use 9 as the next digit of our solution. 
Result so far: 7243.9
The remainder is 61 after subtracting 639 from 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Step 8:
71 goes into 610 8 times with a remainder of 42.
The number 8 becomes the next digit in our result. 
Result so far: 7243.98
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.

Advancing to step 9:
420 divided by 71 is 5 with a remainder of 65.
The next digit of our result is 5. 
Result so far: 7243.985
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.

Going ahead to step 10:
71 goes into 650 9 times with a remainder of 11.
The next digit of our result is 9. 
Result so far: 7243.9859
Subtracting 639 from 650 leaves us 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 11:
110 divided by 71 is 1 with a remainder of 39.
The next digit of our result is 1. 
Result so far: 7243.98591
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.

Let's proceed to step 12:
If we divide 390 by 71, we get 5 and a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 7243.985915
The remainder is 35 after subtracting 355 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 13:
350 divided by 71 is 4 with a remainder of 66.
Use 4 as the next digit of our solution. 
Result so far: 7243.9859154
Subtracting 284 from 350 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.

Advancing to step 14:
660 divided by 71 is 9 with a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 7243.98591549
Subtracting 639 from 660 leaves us 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.

After the division, we end up with 7243.98591549 and a remainder of 2.1e-08.