Let's divide 217965 by 65
We want to figure out the number of times 217965 can be divided by 65.

Moving on to step 1:
65 can be fit into 2 0 times, resulting in a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 65

Advancing to step 2:
When dividing 21 by 65, we get 0 with a remainder of 21.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 21, we get 21.
Bring next digit (7) of the dividend behind the 21 and repeat the process: 217 / 65

Advancing to step 3:
65 goes into 217 3 times with a remainder of 22.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we take 195 away from 217, we end up with 22.
Take the next digit (9) from the dividend and append it to 22, then repeat: 229 / 65

On to step 4:
65 can be fit into 229 3 times, resulting in a remainder of 34.
Put 3 as the next digit of the answer. 
Result so far: 33.0
If we subtract 195 from 229, we get 34.
Append the next digit (6) from the dividend to 34 and continue with: 346 / 65

Going ahead to step 5:
When dividing 346 by 65, we get 5 with a remainder of 21.
Write down 5 as next digit of the result. 
Result so far: 335.0
If we take 325 away from 346, we end up with 21.
Include the next digit (5) from the dividend after 21, then repeat: 215 / 65

Moving on to step 6:
215 divided by 65 is 3 with a remainder of 20.
Record the quotient 3 as the next digit in the result. 
Result so far: 3353.0
The remainder is 20 after subtracting 195 from 215.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 7:
The number 65 fits into 200 3 times, leaving a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 3353.3
If we subtract 195 from 200, we 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:
65 goes into 50 0 times with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 3353.3
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.

On to step 9:
65 can be fit into 500 7 times, resulting in a remainder of 45.
The next digit of our result is 7. 
Result so far: 3353.307
If we take 455 away from 500, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 10:
When dividing 450 by 65, we get 6 with a remainder of 60.
Write down 6 as next digit of the result. 
Result so far: 3353.3076
Deduct 390 from 450 and we're left 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.

Step 11:
65 goes into 600 9 times with a remainder of 15.
Record the quotient 9 as the next digit in the result. 
Result so far: 3353.30769
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.

Step 12:
If we divide 150 by 65, we get 2 and a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 3353.307692
If we subtract 130 from 150, we get 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:
If we divide 200 by 65, we get 3 and a remainder of 5.
The next digit of our result is 3. 
Result so far: 3353.3076923
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 14:
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: 3353.3076923
The remainder is 50 after subtracting 0 from 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 3353.3076923 with a balance of 5e-08.