We look at the division of 217223 by 65 
We're looking to find how many times 65 goes into 217223.

Step 1:
If we divide 2 by 65, we get 0 and a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 65

Moving on to step 2:
65 goes into 21 0 times with a remainder of 21.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 21, we end up with 21.
Bring next digit (7) of the dividend behind the 21 and repeat the process: 217 / 65

Going ahead to step 3:
65 can be fit into 217 3 times, resulting in a remainder of 22.
The next digit of our result is 3. 
Result so far: 3.0
If we subtract 195 from 217, we get 22.
Fetch the next digit (2) from the dividend, attach it to 22 and continue: 222 / 65

Moving on to step 4:
When dividing 222 by 65, we get 3 with a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 33.0
If we subtract 195 from 222, we get 27.
Bring next digit (2) of the dividend behind the 27 and repeat the process: 272 / 65

Step 5:
65 can be fit into 272 4 times, resulting in a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 334.0
Subtract 260 from 272 to get 12.
Append the next digit (3) from the dividend to 12 and continue with: 123 / 65

Moving on to step 6:
The number 65 fits into 123 1 times, leaving a remainder of 58.
The next digit of our result is 1. 
Result so far: 3341.0
Subtract 65 from 123 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 7:
If we divide 580 by 65, we get 8 and a remainder of 60.
Use 8 as the next digit of our solution. 
Result so far: 3341.8
Deduct 520 from 580 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 8:
65 goes into 600 9 times with a remainder of 15.
The number 9 becomes the next digit in our result. 
Result so far: 3341.89
Subtracting 585 from 600 leaves us 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.

On to step 9:
When dividing 150 by 65, we get 2 with a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 3341.892
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.

On to step 10:
The number 65 fits into 200 3 times, leaving a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 3341.8923
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.

Let's proceed to step 11:
If we divide 50 by 65, we get 0 and a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 3341.8923
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.

Let's proceed to step 12:
If we divide 500 by 65, we get 7 and a remainder of 45.
Record the quotient 7 as the next digit in the result. 
Result so far: 3341.892307
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.

Going ahead to step 13:
When dividing 450 by 65, we get 6 with a remainder of 60.
The next digit of our result is 6. 
Result so far: 3341.8923076
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.

Going ahead to step 14:
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: 3341.89230769
If we take 585 away from 600, we end up 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.

The quotient of the division is 3341.89230769, and the remainder is 1.5e-08.