432832 ÷ 71 
We want to divide 432832 by 71.

Advancing to step 1:
When dividing 4 by 71, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 71

Let's proceed to step 2:
43 divided by 71 is 0 with a remainder of 43.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 43 after subtracting 0 from 43.
Include the next digit (2) from the dividend after 43, then repeat: 432 / 71

Advancing to step 3:
71 goes into 432 6 times with a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we subtract 426 from 432, we get 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 71

Moving on to step 4:
If we divide 68 by 71, we get 0 and a remainder of 68.
The next digit of our result is 0. 
Result so far: 60.0
The remainder is 68 after subtracting 0 from 68.
Append the next digit (3) from the dividend to 68 and continue with: 683 / 71

On to step 5:
71 goes into 683 9 times with a remainder of 44.
Record the quotient 9 as the next digit in the result. 
Result so far: 609.0
Subtracting 639 from 683 leaves us with 44.
Include the next digit (2) from the dividend after 44, then repeat: 442 / 71

On to step 6:
When dividing 442 by 71, we get 6 with a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 6096.0
The remainder is 16 after subtracting 426 from 442.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 7:
If we divide 160 by 71, we get 2 and a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 6096.2
Subtracting 142 from 160 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 8:
180 divided by 71 is 2 with a remainder of 38.
Write down 2 as next digit of the result. 
Result so far: 6096.22
If we subtract 142 from 180, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

The final result is 6096.22 with a remainder of 0.038.