431566 ÷ 71 
We want to divide 431566 by 71.

Let's proceed to step 1:
If we divide 4 by 71, we get 0 and a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 71

Going ahead to step 2:
71 can be fit into 43 0 times, resulting in a remainder of 43.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 43 after subtracting 0 from 43.
Fetch the next digit (1) from the dividend, attach it to 43 and continue: 431 / 71

On to step 3:
431 divided by 71 is 6 with a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtract 426 from 431 to get 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 71

Step 4:
When dividing 55 by 71, we get 0 with a remainder of 55.
The next digit of our result is 0. 
Result so far: 60.0
Subtract 0 from 55 to get 55.
Include the next digit (6) from the dividend after 55, then repeat: 556 / 71

Advancing to step 5:
556 divided by 71 is 7 with a remainder of 59.
The number 7 becomes the next digit in our result. 
Result so far: 607.0
If we subtract 497 from 556, we get 59.
Grab the next digit (6) from the dividend, add it to 59, then carry on: 596 / 71

Going ahead to step 6:
If we divide 596 by 71, we get 8 and a remainder of 28.
Put 8 as the next digit of the answer. 
Result so far: 6078.0
If we take 568 away from 596, 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.

Moving on to step 7:
71 can be fit into 280 3 times, resulting in a remainder of 67.
Write down 3 as next digit of the result. 
Result so far: 6078.3
If we take 213 away from 280, we end up with 67.
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 8:
The number 71 fits into 670 9 times, leaving a remainder of 31.
Put 9 as the next digit of the answer. 
Result so far: 6078.39
Deduct 639 from 670 and we're left 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.

Step 9:
If we divide 310 by 71, we get 4 and a remainder of 26.
The next digit of our result is 4. 
Result so far: 6078.394
Subtract 284 from 310 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 10:
If we divide 260 by 71, we get 3 and a remainder of 47.
Record the quotient 3 as the next digit in the result. 
Result so far: 6078.3943
If we subtract 213 from 260, we 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.

On to step 11:
When dividing 470 by 71, we get 6 with a remainder of 44.
Put 6 as the next digit of the answer. 
Result so far: 6078.39436
Subtracting 426 from 470 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 12:
71 can be fit into 440 6 times, resulting in a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 6078.394366
If we subtract 426 from 440, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final result is 6078.394366 with a remainder of 1.4e-06.