We look at the division of 432531 by 65 
We want to divide 432531 by 65.

On to step 1:
When dividing 4 by 65, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 65

Advancing to step 2:
When dividing 43 by 65, we get 0 with a remainder of 43.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 43 after subtracting 0 from 43.
Take the next digit (2) from the dividend and append it to 43, then repeat: 432 / 65

Let's proceed to step 3:
When dividing 432 by 65, we get 6 with a remainder of 42.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we take 390 away from 432, we end up with 42.
Grab the next digit (5) from the dividend, add it to 42, then carry on: 425 / 65

Step 4:
The number 65 fits into 425 6 times, leaving a remainder of 35.
The number 6 becomes the next digit in our result. 
Result so far: 66.0
If we take 390 away from 425, we end up with 35.
Fetch the next digit (3) from the dividend, attach it to 35 and continue: 353 / 65

Step 5:
353 divided by 65 is 5 with a remainder of 28.
Put 5 as the next digit of the answer. 
Result so far: 665.0
Deduct 325 from 353 and we're left with 28.
Take the next digit (1) from the dividend and append it to 28, then repeat: 281 / 65

Advancing to step 6:
When dividing 281 by 65, we get 4 with a remainder of 21.
Record the quotient 4 as the next digit in the result. 
Result so far: 6654.0
The remainder is 21 after subtracting 260 from 281.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 7:
When dividing 210 by 65, we get 3 with a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 6654.3
If we take 195 away from 210, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 8:
If we divide 150 by 65, we get 2 and a remainder of 20.
The next digit of our result is 2. 
Result so far: 6654.32
Subtracting 130 from 150 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 9:
65 can be fit into 200 3 times, resulting in a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 6654.323
If we subtract 195 from 200, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 10:
When dividing 50 by 65, we get 0 with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 6654.323
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 11:
If we divide 500 by 65, we get 7 and a remainder of 45.
Record the quotient 7 as the next digit in the result. 
Result so far: 6654.32307
If we subtract 455 from 500, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 12:
When dividing 450 by 65, we get 6 with a remainder of 60.
The next digit of our result is 6. 
Result so far: 6654.323076
Subtract 390 from 450 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 13:
600 divided by 65 is 9 with a remainder of 15.
The number 9 becomes the next digit in our result. 
Result so far: 6654.3230769
If we take 585 away from 600, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 14:
65 goes into 150 2 times with a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 6654.32307692
The remainder is 20 after subtracting 130 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

In conclusion, the division gives 6654.32307692 with a balance of 2e-08.