Let's divide 153433 by 65
Our goal is to divide 153433 by 65.

Let's proceed to step 1:
If we divide 1 by 65, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 65

Going ahead to step 2:
15 divided by 65 is 0 with a remainder of 15.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 15 to get 15.
Take the next digit (3) from the dividend and append it to 15, then repeat: 153 / 65

Moving on to step 3:
65 can be fit into 153 2 times, resulting in a remainder of 23.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we subtract 130 from 153, we get 23.
Bring next digit (4) of the dividend behind the 23 and repeat the process: 234 / 65

Step 4:
65 goes into 234 3 times with a remainder of 39.
The next digit of our result is 3. 
Result so far: 23.0
Subtract 195 from 234 to get 39.
Take the next digit (3) from the dividend and append it to 39, then repeat: 393 / 65

Let's proceed to step 5:
If we divide 393 by 65, we get 6 and a remainder of 3.
Write down 6 as next digit of the result. 
Result so far: 236.0
If we subtract 390 from 393, we get 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 65

Advancing to step 6:
33 divided by 65 is 0 with a remainder of 33.
Write down 0 as next digit of the result. 
Result so far: 2360.0
If we subtract 0 from 33, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 7:
The number 65 fits into 330 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 2360.5
Subtract 325 from 330 to 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 8:
The number 65 fits into 50 0 times, leaving a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 2360.5
If we subtract 0 from 50, we 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.

Moving on to step 9:
500 divided by 65 is 7 with a remainder of 45.
Put 7 as the next digit of the answer. 
Result so far: 2360.507
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.

Moving on to step 10:
65 goes into 450 6 times with a remainder of 60.
Put 6 as the next digit of the answer. 
Result so far: 2360.5076
If we subtract 390 from 450, we 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.

Step 11:
600 divided by 65 is 9 with a remainder of 15.
Record the quotient 9 as the next digit in the result. 
Result so far: 2360.50769
Deduct 585 from 600 and we're left 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.

Advancing to step 12:
If we divide 150 by 65, we get 2 and a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 2360.507692
Deduct 130 from 150 and we're left 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.

On to step 13:
65 goes into 200 3 times with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 2360.5076923
Subtract 195 from 200 to 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.

Advancing to step 14:
When dividing 50 by 65, we get 0 with a remainder of 50.
The next digit of our result is 0. 
Result so far: 2360.5076923
Subtracting 0 from 50 leaves us 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.

In conclusion, the division gives 2360.5076923 with a balance of 5e-08.