513987 ÷ 71 
Let's see how many times 71 fits into 513987.

Advancing to step 1:
71 can be fit into 5 0 times, resulting in 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.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 71

Let's proceed to step 2:
71 goes into 51 0 times with a remainder of 51.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 51 after subtracting 0 from 51.
Append the next digit (3) from the dividend to 51 and continue with: 513 / 71

Going ahead to step 3:
71 can be fit into 513 7 times, resulting in a remainder of 16.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Subtracting 497 from 513 leaves us with 16.
Append the next digit (9) from the dividend to 16 and continue with: 169 / 71

Moving on to step 4:
The number 71 fits into 169 2 times, leaving a remainder of 27.
The number 2 becomes the next digit in our result. 
Result so far: 72.0
The remainder is 27 after subtracting 142 from 169.
Include the next digit (8) from the dividend after 27, then repeat: 278 / 71

On to step 5:
71 goes into 278 3 times with a remainder of 65.
Write down 3 as next digit of the result. 
Result so far: 723.0
If we take 213 away from 278, we end up with 65.
Bring next digit (7) of the dividend behind the 65 and repeat the process: 657 / 71

On to step 6:
When dividing 657 by 71, we get 9 with a remainder of 18.
The next digit of our result is 9. 
Result so far: 7239.0
Subtracting 639 from 657 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 7:
71 goes into 180 2 times with a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 7239.2
Subtracting 142 from 180 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 8:
If we divide 380 by 71, we get 5 and a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 7239.25
Subtracting 355 from 380 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 9:
250 divided by 71 is 3 with a remainder of 37.
The number 3 becomes the next digit in our result. 
Result so far: 7239.253
Subtract 213 from 250 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 10:
When dividing 370 by 71, we get 5 with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 7239.2535
If we subtract 355 from 370, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 11:
The number 71 fits into 150 2 times, leaving a remainder of 8.
The next digit of our result is 2. 
Result so far: 7239.25352
If we take 142 away from 150, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 12:
The number 71 fits into 80 1 times, leaving a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 7239.253521
Subtracting 71 from 80 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 13:
When dividing 90 by 71, we get 1 with a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 7239.2535211
The remainder is 19 after subtracting 71 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Our division results in 7239.2535211 with a remaining 1.9e-07.