305319 ÷ 65 
We want to figure out the number of times 305319 can be divided by 65.

On to step 1:
65 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 65

Step 2:
65 goes into 30 0 times with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 30, we get 30.
Grab the next digit (5) from the dividend, add it to 30, then carry on: 305 / 65

Going ahead to step 3:
305 divided by 65 is 4 with a remainder of 45.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 260 from 305, we get 45.
Grab the next digit (3) from the dividend, add it to 45, then carry on: 453 / 65

Moving on to step 4:
The number 65 fits into 453 6 times, leaving a remainder of 63.
Record the quotient 6 as the next digit in the result. 
Result so far: 46.0
Subtract 390 from 453 to get 63.
Fetch the next digit (1) from the dividend, attach it to 63 and continue: 631 / 65

Advancing to step 5:
65 can be fit into 631 9 times, resulting in a remainder of 46.
Use 9 as the next digit of our solution. 
Result so far: 469.0
Deduct 585 from 631 and we're left with 46.
Fetch the next digit (9) from the dividend, attach it to 46 and continue: 469 / 65

Step 6:
If we divide 469 by 65, we get 7 and a remainder of 14.
Use 7 as the next digit of our solution. 
Result so far: 4697.0
If we subtract 455 from 469, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 7:
If we divide 140 by 65, we get 2 and a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 4697.2
If we take 130 away from 140, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
The number 65 fits into 100 1 times, leaving a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 4697.21
If we subtract 65 from 100, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 9:
65 can be fit into 350 5 times, resulting in a remainder of 25.
The next digit of our result is 5. 
Result so far: 4697.215
If we take 325 away from 350, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 10:
The number 65 fits into 250 3 times, leaving a remainder of 55.
The number 3 becomes the next digit in our result. 
Result so far: 4697.2153
If we subtract 195 from 250, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 11:
When dividing 550 by 65, we get 8 with a remainder of 30.
The next digit of our result is 8. 
Result so far: 4697.21538
If we take 520 away from 550, we end up 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.

Going ahead to step 12:
When dividing 300 by 65, we get 4 with a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 4697.215384
Subtracting 260 from 300 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 13:
The number 65 fits into 400 6 times, leaving a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 4697.2153846
The remainder is 10 after subtracting 390 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 14:
65 goes into 100 1 times with a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 4697.21538461
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 quotient of the division is 4697.21538461, and the remainder is 3.5e-08.