We're dividing 533213 by 65 
We want to figure out the number of times 533213 can be divided by 65.

Moving on to step 1:
If we divide 5 by 65, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 65

Moving on to step 2:
The number 65 fits into 53 0 times, leaving a remainder of 53.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 53 leaves us with 53.
Fetch the next digit (3) from the dividend, attach it to 53 and continue: 533 / 65

Let's proceed to step 3:
The number 65 fits into 533 8 times, leaving a remainder of 13.
The next digit of our result is 8. 
Result so far: 8.0
Deduct 520 from 533 and we're left with 13.
Append the next digit (2) from the dividend to 13 and continue with: 132 / 65

On to step 4:
The number 65 fits into 132 2 times, leaving a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 82.0
If we subtract 130 from 132, we get 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 65

Moving on to step 5:
65 can be fit into 21 0 times, resulting in a remainder of 21.
Record the quotient 0 as the next digit in the result. 
Result so far: 820.0
Subtracting 0 from 21 leaves us with 21.
Fetch the next digit (3) from the dividend, attach it to 21 and continue: 213 / 65

Moving on to step 6:
213 divided by 65 is 3 with a remainder of 18.
The number 3 becomes the next digit in our result. 
Result so far: 8203.0
If we subtract 195 from 213, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 7:
When dividing 180 by 65, we get 2 with a remainder of 50.
Put 2 as the next digit of the answer. 
Result so far: 8203.2
Subtract 130 from 180 to 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.

Step 8:
The number 65 fits into 500 7 times, leaving a remainder of 45.
The number 7 becomes the next digit in our result. 
Result so far: 8203.27
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.

Step 9:
If we divide 450 by 65, we get 6 and a remainder of 60.
Put 6 as the next digit of the answer. 
Result so far: 8203.276
If we take 390 away from 450, we end up 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 10:
65 can be fit into 600 9 times, resulting in a remainder of 15.
The next digit of our result is 9. 
Result so far: 8203.2769
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.

Advancing to step 11:
65 can be fit into 150 2 times, resulting in a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 8203.27692
Subtracting 130 from 150 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.

On to step 12:
65 goes into 200 3 times with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 8203.276923
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.

Step 13:
When dividing 50 by 65, we get 0 with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 8203.276923
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.

Going ahead to step 14:
The number 65 fits into 500 7 times, leaving a remainder of 45.
Put 7 as the next digit of the answer. 
Result so far: 8203.27692307
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.

After the division, we end up with 8203.27692307 and a remainder of 4.5e-08.