We're dividing 219214 by 65 
We're looking to find how many times 65 goes into 219214.

Step 1:
The number 65 fits into 2 0 times, leaving 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.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 65

Moving on to step 2:
If we divide 21 by 65, we get 0 and a remainder of 21.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 21, we get 21.
Bring next digit (9) of the dividend behind the 21 and repeat the process: 219 / 65

Moving on to step 3:
When dividing 219 by 65, we get 3 with a remainder of 24.
Put 3 as the next digit of the answer. 
Result so far: 3.0
The remainder is 24 after subtracting 195 from 219.
Fetch the next digit (2) from the dividend, attach it to 24 and continue: 242 / 65

Let's proceed to step 4:
65 goes into 242 3 times with a remainder of 47.
Record the quotient 3 as the next digit in the result. 
Result so far: 33.0
If we subtract 195 from 242, we get 47.
Append the next digit (1) from the dividend to 47 and continue with: 471 / 65

Moving on to step 5:
65 goes into 471 7 times with a remainder of 16.
The next digit of our result is 7. 
Result so far: 337.0
If we take 455 away from 471, we end up with 16.
Grab the next digit (4) from the dividend, add it to 16, then carry on: 164 / 65

Moving on to step 6:
The number 65 fits into 164 2 times, leaving a remainder of 34.
The next digit of our result is 2. 
Result so far: 3372.0
The remainder is 34 after subtracting 130 from 164.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 7:
The number 65 fits into 340 5 times, leaving a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 3372.5
The remainder is 15 after subtracting 325 from 340.
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 8:
The number 65 fits into 150 2 times, leaving a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 3372.52
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.

Advancing to step 9:
200 divided by 65 is 3 with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 3372.523
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.

On to step 10:
65 goes into 50 0 times with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 3372.523
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.

Advancing to step 11:
If we divide 500 by 65, we get 7 and a remainder of 45.
The next digit of our result is 7. 
Result so far: 3372.52307
If we subtract 455 from 500, we 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.

On to step 12:
If we divide 450 by 65, we get 6 and a remainder of 60.
Write down 6 as next digit of the result. 
Result so far: 3372.523076
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 13:
65 can be fit into 600 9 times, resulting in a remainder of 15.
The number 9 becomes the next digit in our result. 
Result so far: 3372.5230769
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.

Let's proceed to step 14:
150 divided by 65 is 2 with a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 3372.52307692
If we take 130 away from 150, we end up 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.

The final result is 3372.52307692 with a remainder of 2e-08.