We divide 233417 by 65
We want to figure out the number of times 233417 can be divided by 65.

Advancing to step 1:
65 goes into 2 0 times with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 65

Going ahead to step 2:
23 divided by 65 is 0 with a remainder of 23.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 23, we get 23.
Fetch the next digit (3) from the dividend, attach it to 23 and continue: 233 / 65

Step 3:
233 divided by 65 is 3 with a remainder of 38.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtracting 195 from 233 leaves us with 38.
Grab the next digit (4) from the dividend, add it to 38, then carry on: 384 / 65

Let's proceed to step 4:
If we divide 384 by 65, we get 5 and a remainder of 59.
Write down 5 as next digit of the result. 
Result so far: 35.0
Subtract 325 from 384 to get 59.
Grab the next digit (1) from the dividend, add it to 59, then carry on: 591 / 65

Advancing to step 5:
591 divided by 65 is 9 with a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 359.0
If we take 585 away from 591, we end up with 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 65

On to step 6:
When dividing 67 by 65, we get 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 3591.0
Subtract 65 from 67 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
When dividing 20 by 65, we get 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 3591.0
Subtracting 0 from 20 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 8:
If we divide 200 by 65, we get 3 and a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 3591.03
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.

Going ahead to step 9:
50 divided by 65 is 0 with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 3591.03
If we take 0 away from 50, we end up 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.

Going ahead to step 10:
When dividing 500 by 65, we get 7 with a remainder of 45.
Record the quotient 7 as the next digit in the result. 
Result so far: 3591.0307
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 11:
450 divided by 65 is 6 with a remainder of 60.
The number 6 becomes the next digit in our result. 
Result so far: 3591.03076
Subtracting 390 from 450 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 12:
The number 65 fits into 600 9 times, leaving a remainder of 15.
The number 9 becomes the next digit in our result. 
Result so far: 3591.030769
The remainder is 15 after subtracting 585 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 13:
65 goes into 150 2 times with a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 3591.0307692
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.

Step 14:
65 can be fit into 200 3 times, resulting in a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 3591.03076923
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.

In conclusion, the division gives 3591.03076923 with a balance of 5e-09.