Let's divide 431016 by 65
Our goal is to divide 431016 by 65.

Step 1:
The number 65 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 65

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
If we subtract 0 from 43, we get 43.
Fetch the next digit (1) from the dividend, attach it to 43 and continue: 431 / 65

Step 3:
431 divided by 65 is 6 with a remainder of 41.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtracting 390 from 431 leaves us with 41.
Fetch the next digit (0) from the dividend, attach it to 41 and continue: 410 / 65

Advancing to step 4:
65 can be fit into 410 6 times, resulting in a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 66.0
If we subtract 390 from 410, we get 20.
Grab the next digit (1) from the dividend, add it to 20, then carry on: 201 / 65

Step 5:
65 goes into 201 3 times with a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 663.0
If we take 195 away from 201, we end up with 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 65

Advancing to step 6:
65 goes into 66 1 times with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 6631.0
Subtracting 65 from 66 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
If we divide 10 by 65, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 6631.0
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
If we divide 100 by 65, we get 1 and a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 6631.01
The remainder is 35 after subtracting 65 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 9:
When dividing 350 by 65, we get 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 6631.015
If we subtract 325 from 350, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 10:
The number 65 fits into 250 3 times, leaving a remainder of 55.
The next digit of our result is 3. 
Result so far: 6631.0153
Subtract 195 from 250 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 11:
If we divide 550 by 65, we get 8 and a remainder of 30.
Write down 8 as next digit of the result. 
Result so far: 6631.01538
If we take 520 away from 550, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 12:
If we divide 300 by 65, we get 4 and a remainder of 40.
Record the quotient 4 as the next digit in the result. 
Result so far: 6631.015384
Subtract 260 from 300 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 13:
65 can be fit into 400 6 times, resulting in a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 6631.0153846
If we take 390 away from 400, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 14:
65 goes into 100 1 times with a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 6631.01538461
Subtracting 65 from 100 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

In conclusion, the division gives 6631.01538461 with a balance of 3.5e-08.