409510 ÷ 71 
We want to divide 409510 by 71.

Step 1:
71 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 71

Moving on to step 2:
40 divided by 71 is 0 with a remainder of 40.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 40, we get 40.
Grab the next digit (9) from the dividend, add it to 40, then carry on: 409 / 71

Advancing to step 3:
409 divided by 71 is 5 with a remainder of 54.
The next digit of our result is 5. 
Result so far: 5.0
Subtracting 355 from 409 leaves us with 54.
Take the next digit (5) from the dividend and append it to 54, then repeat: 545 / 71

Going ahead to step 4:
545 divided by 71 is 7 with a remainder of 48.
Use 7 as the next digit of our solution. 
Result so far: 57.0
If we take 497 away from 545, we end up with 48.
Include the next digit (1) from the dividend after 48, then repeat: 481 / 71

Let's proceed to step 5:
71 can be fit into 481 6 times, resulting in a remainder of 55.
Write down 6 as next digit of the result. 
Result so far: 576.0
Deduct 426 from 481 and we're left with 55.
Include the next digit (0) from the dividend after 55, then repeat: 550 / 71

Step 6:
The number 71 fits into 550 7 times, leaving a remainder of 53.
Put 7 as the next digit of the answer. 
Result so far: 5767.0
Deduct 497 from 550 and we're left 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.

Moving on to step 7:
If we divide 530 by 71, we get 7 and a remainder of 33.
Record the quotient 7 as the next digit in the result. 
Result so far: 5767.7
If we subtract 497 from 530, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 8:
When dividing 330 by 71, we get 4 with a remainder of 46.
The next digit of our result is 4. 
Result so far: 5767.74
If we subtract 284 from 330, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 9:
71 goes into 460 6 times with a remainder of 34.
Use 6 as the next digit of our solution. 
Result so far: 5767.746
The remainder is 34 after subtracting 426 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 10:
340 divided by 71 is 4 with a remainder of 56.
Put 4 as the next digit of the answer. 
Result so far: 5767.7464
If we take 284 away from 340, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 11:
When dividing 560 by 71, we get 7 with a remainder of 63.
Record the quotient 7 as the next digit in the result. 
Result so far: 5767.74647
Subtracting 497 from 560 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.

Moving on to step 12:
71 goes into 630 8 times with a remainder of 62.
The next digit of our result is 8. 
Result so far: 5767.746478
If we take 568 away from 630, we end up 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.

Moving on to step 13:
71 goes into 620 8 times with a remainder of 52.
Write down 8 as next digit of the result. 
Result so far: 5767.7464788
Subtracting 568 from 620 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Our division results in 5767.7464788 with a remaining 5.2e-07.