We're dividing 465438 by 71 
Our goal is to divide 465438 by 71.

Going ahead to step 1:
The number 71 fits into 4 0 times, leaving 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.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 71

Going ahead to step 2:
If we divide 46 by 71, we get 0 and a remainder of 46.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 46 to get 46.
Take the next digit (5) from the dividend and append it to 46, then repeat: 465 / 71

Going ahead to step 3:
When dividing 465 by 71, we get 6 with a remainder of 39.
Use 6 as the next digit of our solution. 
Result so far: 6.0
The remainder is 39 after subtracting 426 from 465.
Take the next digit (4) from the dividend and append it to 39, then repeat: 394 / 71

Let's proceed to step 4:
71 goes into 394 5 times with a remainder of 39.
Record the quotient 5 as the next digit in the result. 
Result so far: 65.0
If we take 355 away from 394, we end up with 39.
Bring next digit (3) of the dividend behind the 39 and repeat the process: 393 / 71

Going ahead to step 5:
393 divided by 71 is 5 with a remainder of 38.
Write down 5 as next digit of the result. 
Result so far: 655.0
The remainder is 38 after subtracting 355 from 393.
Grab the next digit (8) from the dividend, add it to 38, then carry on: 388 / 71

Step 6:
When dividing 388 by 71, we get 5 with a remainder of 33.
Write down 5 as next digit of the result. 
Result so far: 6555.0
Subtracting 355 from 388 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Moving on to step 7:
71 goes into 330 4 times with a remainder of 46.
The number 4 becomes the next digit in our result. 
Result so far: 6555.4
Deduct 284 from 330 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 8:
When dividing 460 by 71, we get 6 with a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 6555.46
Deduct 426 from 460 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 9:
71 can be fit into 340 4 times, resulting in a remainder of 56.
The next digit of our result is 4. 
Result so far: 6555.464
If we take 284 away from 340, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 10:
560 divided by 71 is 7 with a remainder of 63.
Write down 7 as next digit of the result. 
Result so far: 6555.4647
If we subtract 497 from 560, we get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Let's proceed to step 11:
If we divide 630 by 71, we get 8 and a remainder of 62.
The number 8 becomes the next digit in our result. 
Result so far: 6555.46478
Subtracting 568 from 630 leaves us 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.

Step 12:
71 can be fit into 620 8 times, resulting in a remainder of 52.
The number 8 becomes the next digit in our result. 
Result so far: 6555.464788
Deduct 568 from 620 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

The final outcome is 6555.464788, with a leftover of 5.2e-06.