We look at the division of 409458 by 71 
We want to figure out the number of times 409458 can be divided by 71.

Advancing to step 1:
4 divided by 71 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 71

Step 2:
If we divide 40 by 71, we get 0 and a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 40 and we're left with 40.
Bring next digit (9) of the dividend behind the 40 and repeat the process: 409 / 71

Moving on to step 3:
71 goes into 409 5 times with a remainder of 54.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtracting 355 from 409 leaves us with 54.
Grab the next digit (4) from the dividend, add it to 54, then carry on: 544 / 71

Going ahead to step 4:
If we divide 544 by 71, we get 7 and a remainder of 47.
The next digit of our result is 7. 
Result so far: 57.0
If we subtract 497 from 544, we get 47.
Take the next digit (5) from the dividend and append it to 47, then repeat: 475 / 71

Step 5:
If we divide 475 by 71, we get 6 and a remainder of 49.
Record the quotient 6 as the next digit in the result. 
Result so far: 576.0
If we subtract 426 from 475, we get 49.
Grab the next digit (8) from the dividend, add it to 49, then carry on: 498 / 71

Let's proceed to step 6:
The number 71 fits into 498 7 times, leaving a remainder of 1.
The next digit of our result is 7. 
Result so far: 5767.0
Deduct 497 from 498 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
The number 71 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 5767.0
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
When dividing 100 by 71, we get 1 with a remainder of 29.
The next digit of our result is 1. 
Result so far: 5767.01
If we subtract 71 from 100, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 9:
71 goes into 290 4 times with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 5767.014
Subtract 284 from 290 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 10:
If we divide 60 by 71, we get 0 and a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 5767.014
Subtracting 0 from 60 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 11:
71 can be fit into 600 8 times, resulting in a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 5767.01408
If we subtract 568 from 600, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 12:
320 divided by 71 is 4 with a remainder of 36.
Write down 4 as next digit of the result. 
Result so far: 5767.014084
Subtracting 284 from 320 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 13:
When dividing 360 by 71, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 5767.0140845
The remainder is 5 after subtracting 355 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 14:
When dividing 50 by 71, we get 0 with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 5767.0140845
Deduct 0 from 50 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

After the division, we end up with 5767.0140845 and a remainder of 5e-08.