413416 ÷ 71 
Let's see how many times 71 fits into 413416.

Advancing to step 1:
If we divide 4 by 71, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 71

Step 2:
71 can be fit into 41 0 times, resulting in a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 41 after subtracting 0 from 41.
Bring next digit (3) of the dividend behind the 41 and repeat the process: 413 / 71

Moving on to step 3:
When dividing 413 by 71, we get 5 with a remainder of 58.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
The remainder is 58 after subtracting 355 from 413.
Append the next digit (4) from the dividend to 58 and continue with: 584 / 71

Moving on to step 4:
71 goes into 584 8 times with a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 58.0
If we take 568 away from 584, we end up with 16.
Fetch the next digit (1) from the dividend, attach it to 16 and continue: 161 / 71

Going ahead to step 5:
The number 71 fits into 161 2 times, leaving a remainder of 19.
The number 2 becomes the next digit in our result. 
Result so far: 582.0
Subtract 142 from 161 to get 19.
Append the next digit (6) from the dividend to 19 and continue with: 196 / 71

Step 6:
196 divided by 71 is 2 with a remainder of 54.
The next digit of our result is 2. 
Result so far: 5822.0
The remainder is 54 after subtracting 142 from 196.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 7:
The number 71 fits into 540 7 times, leaving a remainder of 43.
The next digit of our result is 7. 
Result so far: 5822.7
If we subtract 497 from 540, we get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Going ahead to step 8:
The number 71 fits into 430 6 times, leaving a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 5822.76
Subtracting 426 from 430 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 9:
When dividing 40 by 71, we get 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 5822.76
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 10:
The number 71 fits into 400 5 times, leaving a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 5822.7605
If we subtract 355 from 400, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 11:
The number 71 fits into 450 6 times, leaving a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 5822.76056
Subtracting 426 from 450 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 12:
The number 71 fits into 240 3 times, leaving a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 5822.760563
If we subtract 213 from 240, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 13:
270 divided by 71 is 3 with a remainder of 57.
Write down 3 as next digit of the result. 
Result so far: 5822.7605633
Subtract 213 from 270 to get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

The final outcome is 5822.7605633, with a leftover of 5.7e-07.