432723 ÷ 65 
We want to divide 432723 by 65.

Let's proceed to step 1:
65 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 65

Going ahead to step 2:
43 divided by 65 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.
Grab the next digit (2) from the dividend, add it to 43, then carry on: 432 / 65

Going ahead to step 3:
65 goes into 432 6 times with a remainder of 42.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we take 390 away from 432, we end up with 42.
Fetch the next digit (7) from the dividend, attach it to 42 and continue: 427 / 65

Step 4:
If we divide 427 by 65, we get 6 and a remainder of 37.
Put 6 as the next digit of the answer. 
Result so far: 66.0
If we subtract 390 from 427, we get 37.
Append the next digit (2) from the dividend to 37 and continue with: 372 / 65

Let's proceed to step 5:
65 can be fit into 372 5 times, resulting in a remainder of 47.
The number 5 becomes the next digit in our result. 
Result so far: 665.0
Subtracting 325 from 372 leaves us with 47.
Include the next digit (3) from the dividend after 47, then repeat: 473 / 65

Let's proceed to step 6:
65 goes into 473 7 times with a remainder of 18.
Write down 7 as next digit of the result. 
Result so far: 6657.0
The remainder is 18 after subtracting 455 from 473.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 7:
65 can be fit into 180 2 times, resulting in a remainder of 50.
The next digit of our result is 2. 
Result so far: 6657.2
The remainder is 50 after subtracting 130 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 8:
65 can be fit into 500 7 times, resulting in a remainder of 45.
The number 7 becomes the next digit in our result. 
Result so far: 6657.27
The remainder is 45 after subtracting 455 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 9:
The number 65 fits into 450 6 times, leaving a remainder of 60.
Use 6 as the next digit of our solution. 
Result so far: 6657.276
The remainder is 60 after subtracting 390 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 10:
If we divide 600 by 65, we get 9 and a remainder of 15.
Put 9 as the next digit of the answer. 
Result so far: 6657.2769
Subtracting 585 from 600 leaves us 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 11:
The number 65 fits into 150 2 times, leaving a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 6657.27692
If we take 130 away from 150, we end up 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.

Moving on to step 12:
The number 65 fits into 200 3 times, leaving a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 6657.276923
Deduct 195 from 200 and we're left with 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 13:
When dividing 50 by 65, we get 0 with a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 6657.276923
Deduct 0 from 50 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 14:
65 can be fit into 500 7 times, resulting in a remainder of 45.
Use 7 as the next digit of our solution. 
Result so far: 6657.27692307
Subtract 455 from 500 to 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.

Our division results in 6657.27692307 with a remaining 4.5e-08.