417400 divided by 71 
Our goal is to divide 417400 by 71.

On to step 1:
The number 71 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 71

Moving on to step 2:
41 divided by 71 is 0 with a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Take the next digit (7) from the dividend and append it to 41, then repeat: 417 / 71

On to step 3:
417 divided by 71 is 5 with a remainder of 62.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we take 355 away from 417, we end up with 62.
Bring next digit (4) of the dividend behind the 62 and repeat the process: 624 / 71

Going ahead to step 4:
71 can be fit into 624 8 times, resulting in a remainder of 56.
Record the quotient 8 as the next digit in the result. 
Result so far: 58.0
If we take 568 away from 624, we end up with 56.
Append the next digit (0) from the dividend to 56 and continue with: 560 / 71

On to step 5:
560 divided by 71 is 7 with a remainder of 63.
The next digit of our result is 7. 
Result so far: 587.0
Subtracting 497 from 560 leaves us with 63.
Bring next digit (0) of the dividend behind the 63 and repeat the process: 630 / 71

Moving on to step 6:
630 divided by 71 is 8 with a remainder of 62.
Put 8 as the next digit of the answer. 
Result so far: 5878.0
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 7:
620 divided by 71 is 8 with a remainder of 52.
Write down 8 as next digit of the result. 
Result so far: 5878.8
If we subtract 568 from 620, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 8:
71 goes into 520 7 times with a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 5878.87
If we take 497 away from 520, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 9:
230 divided by 71 is 3 with a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 5878.873
If we take 213 away from 230, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 10:
71 can be fit into 170 2 times, resulting in a remainder of 28.
The next digit of our result is 2. 
Result so far: 5878.8732
If we take 142 away from 170, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 11:
When dividing 280 by 71, we get 3 with a remainder of 67.
Put 3 as the next digit of the answer. 
Result so far: 5878.87323
The remainder is 67 after subtracting 213 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

On to step 12:
71 goes into 670 9 times with a remainder of 31.
The number 9 becomes the next digit in our result. 
Result so far: 5878.873239
Subtracting 639 from 670 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 13:
If we divide 310 by 71, we get 4 and a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 5878.8732394
Deduct 284 from 310 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 14:
71 goes into 260 3 times with a remainder of 47.
The number 3 becomes the next digit in our result. 
Result so far: 5878.87323943
Subtract 213 from 260 to get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

In conclusion, the division gives 5878.87323943 with a balance of 4.7e-08.