Let's divide 433112 by 65
We want to divide 433112 by 65.

Step 1:
The number 65 fits into 4 0 times, leaving a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 65

On to step 2:
If we divide 43 by 65, we get 0 and a remainder of 43.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 43 after subtracting 0 from 43.
Grab the next digit (3) from the dividend, add it to 43, then carry on: 433 / 65

Moving on to step 3:
65 goes into 433 6 times with a remainder of 43.
The next digit of our result is 6. 
Result so far: 6.0
Deduct 390 from 433 and we're left with 43.
Fetch the next digit (1) from the dividend, attach it to 43 and continue: 431 / 65

Moving on to step 4:
65 can be fit into 431 6 times, resulting in a remainder of 41.
Put 6 as the next digit of the answer. 
Result so far: 66.0
Deduct 390 from 431 and we're left with 41.
Fetch the next digit (1) from the dividend, attach it to 41 and continue: 411 / 65

Going ahead to step 5:
65 can be fit into 411 6 times, resulting in a remainder of 21.
Use 6 as the next digit of our solution. 
Result so far: 666.0
Deduct 390 from 411 and we're left with 21.
Take the next digit (2) from the dividend and append it to 21, then repeat: 212 / 65

Going ahead to step 6:
212 divided by 65 is 3 with a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 6663.0
The remainder is 17 after subtracting 195 from 212.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 7:
65 can be fit into 170 2 times, resulting in a remainder of 40.
The number 2 becomes the next digit in our result. 
Result so far: 6663.2
If we take 130 away from 170, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 8:
The number 65 fits into 400 6 times, leaving a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 6663.26
The remainder is 10 after subtracting 390 from 400.
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 9:
65 goes into 100 1 times with a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 6663.261
If we subtract 65 from 100, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 10:
When dividing 350 by 65, we get 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 6663.2615
The remainder is 25 after subtracting 325 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 11:
When dividing 250 by 65, we get 3 with a remainder of 55.
Use 3 as the next digit of our solution. 
Result so far: 6663.26153
Subtracting 195 from 250 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 12:
The number 65 fits into 550 8 times, leaving a remainder of 30.
Put 8 as the next digit of the answer. 
Result so far: 6663.261538
Deduct 520 from 550 and we're left 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 13:
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: 6663.2615384
If we subtract 260 from 300, we 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.

On to step 14:
65 goes into 400 6 times with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 6663.26153846
If we subtract 390 from 400, we 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.

Our division results in 6663.26153846 with a remaining 1e-08.