We look at the division of 408368 by 71 
We're looking to find how many times 71 goes into 408368.

On to step 1:
When dividing 4 by 71, we get 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 71

Step 2:
When dividing 40 by 71, we get 0 with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 40 to get 40.
Take the next digit (8) from the dividend and append it to 40, then repeat: 408 / 71

Going ahead to step 3:
When dividing 408 by 71, we get 5 with a remainder of 53.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 355 from 408 leaves us with 53.
Include the next digit (3) from the dividend after 53, then repeat: 533 / 71

Advancing to step 4:
71 can be fit into 533 7 times, resulting in a remainder of 36.
The number 7 becomes the next digit in our result. 
Result so far: 57.0
Subtract 497 from 533 to get 36.
Grab the next digit (6) from the dividend, add it to 36, then carry on: 366 / 71

Step 5:
71 can be fit into 366 5 times, resulting in a remainder of 11.
Put 5 as the next digit of the answer. 
Result so far: 575.0
If we subtract 355 from 366, we get 11.
Fetch the next digit (8) from the dividend, attach it to 11 and continue: 118 / 71

Moving on to step 6:
71 can be fit into 118 1 times, resulting in a remainder of 47.
Use 1 as the next digit of our solution. 
Result so far: 5751.0
Deduct 71 from 118 and we're left with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 7:
If we divide 470 by 71, we get 6 and a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 5751.6
Deduct 426 from 470 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 8:
440 divided by 71 is 6 with a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 5751.66
Subtract 426 from 440 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final result is 5751.66 with a remainder of 0.014.