Let's divide 493221 by 65
Our goal is to divide 493221 by 65.

Step 1:
65 can be fit into 4 0 times, resulting in a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (9) from the dividend and append it to 4, then repeat: 49 / 65

Step 2:
49 divided by 65 is 0 with a remainder of 49.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 49 after subtracting 0 from 49.
Fetch the next digit (3) from the dividend, attach it to 49 and continue: 493 / 65

Moving on to step 3:
If we divide 493 by 65, we get 7 and a remainder of 38.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtracting 455 from 493 leaves us with 38.
Append the next digit (2) from the dividend to 38 and continue with: 382 / 65

Let's proceed to step 4:
When dividing 382 by 65, we get 5 with a remainder of 57.
The next digit of our result is 5. 
Result so far: 75.0
Subtracting 325 from 382 leaves us with 57.
Grab the next digit (2) from the dividend, add it to 57, then carry on: 572 / 65

Going ahead to step 5:
65 goes into 572 8 times with a remainder of 52.
Put 8 as the next digit of the answer. 
Result so far: 758.0
The remainder is 52 after subtracting 520 from 572.
Take the next digit (1) from the dividend and append it to 52, then repeat: 521 / 65

Let's proceed to step 6:
If we divide 521 by 65, we get 8 and a remainder of 1.
The next digit of our result is 8. 
Result so far: 7588.0
If we take 520 away from 521, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
If we divide 10 by 65, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 7588.0
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
65 goes into 100 1 times with a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 7588.01
Deduct 65 from 100 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 9:
The number 65 fits into 350 5 times, leaving a remainder of 25.
The next digit of our result is 5. 
Result so far: 7588.015
The remainder is 25 after subtracting 325 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 10:
When dividing 250 by 65, we get 3 with a remainder of 55.
The next digit of our result is 3. 
Result so far: 7588.0153
Subtracting 195 from 250 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 11:
550 divided by 65 is 8 with a remainder of 30.
The number 8 becomes the next digit in our result. 
Result so far: 7588.01538
Subtracting 520 from 550 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 12:
The number 65 fits into 300 4 times, leaving a remainder of 40.
The next digit of our result is 4. 
Result so far: 7588.015384
Subtract 260 from 300 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 13:
65 goes into 400 6 times with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 7588.0153846
Subtract 390 from 400 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 14:
100 divided by 65 is 1 with a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 7588.01538461
Subtracting 65 from 100 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The final outcome is 7588.01538461, with a leftover of 3.5e-08.