408098 ÷ 71 
We want to figure out the number of times 408098 can be divided by 71.

Let's proceed to step 1:
When dividing 4 by 71, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 71

Let's proceed to step 2:
40 divided by 71 is 0 with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 40 after subtracting 0 from 40.
Bring next digit (8) of the dividend behind the 40 and repeat the process: 408 / 71

On to step 3:
When dividing 408 by 71, we get 5 with a remainder of 53.
The next digit of our result is 5. 
Result so far: 5.0
The remainder is 53 after subtracting 355 from 408.
Fetch the next digit (0) from the dividend, attach it to 53 and continue: 530 / 71

Let's proceed to step 4:
71 can be fit into 530 7 times, resulting in a remainder of 33.
The next digit of our result is 7. 
Result so far: 57.0
The remainder is 33 after subtracting 497 from 530.
Include the next digit (9) from the dividend after 33, then repeat: 339 / 71

Advancing to step 5:
71 goes into 339 4 times with a remainder of 55.
Record the quotient 4 as the next digit in the result. 
Result so far: 574.0
If we subtract 284 from 339, we get 55.
Take the next digit (8) from the dividend and append it to 55, then repeat: 558 / 71

Moving on to step 6:
71 goes into 558 7 times with a remainder of 61.
The next digit of our result is 7. 
Result so far: 5747.0
Deduct 497 from 558 and we're left with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Step 7:
71 can be fit into 610 8 times, resulting in a remainder of 42.
The next digit of our result is 8. 
Result so far: 5747.8
The remainder is 42 after subtracting 568 from 610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 8:
The number 71 fits into 420 5 times, leaving a remainder of 65.
Write down 5 as next digit of the result. 
Result so far: 5747.85
Deduct 355 from 420 and we're left 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.

Advancing to step 9:
650 divided by 71 is 9 with a remainder of 11.
The next digit of our result is 9. 
Result so far: 5747.859
Subtract 639 from 650 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 10:
110 divided by 71 is 1 with a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 5747.8591
Subtracting 71 from 110 leaves us with 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 11:
71 goes into 390 5 times with a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 5747.85915
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.

Step 12:
350 divided by 71 is 4 with a remainder of 66.
Write down 4 as next digit of the result. 
Result so far: 5747.859154
The remainder is 66 after subtracting 284 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 13:
71 can be fit into 660 9 times, resulting in a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 5747.8591549
If we subtract 639 from 660, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 14:
The number 71 fits into 210 2 times, leaving a remainder of 68.
The number 2 becomes the next digit in our result. 
Result so far: 5747.85915492
Subtracting 142 from 210 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

In conclusion, the division gives 5747.85915492 with a balance of 6.8e-08.