We're dividing 301872 by 65 
We're looking to find how many times 65 goes into 301872.

Going ahead to step 1:
When dividing 3 by 65, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 65

Advancing to step 2:
The number 65 fits into 30 0 times, leaving a remainder of 30.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 30 after subtracting 0 from 30.
Include the next digit (1) from the dividend after 30, then repeat: 301 / 65

Let's proceed to step 3:
The number 65 fits into 301 4 times, leaving a remainder of 41.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtracting 260 from 301 leaves us with 41.
Grab the next digit (8) from the dividend, add it to 41, then carry on: 418 / 65

On to step 4:
When dividing 418 by 65, we get 6 with a remainder of 28.
Put 6 as the next digit of the answer. 
Result so far: 46.0
Subtracting 390 from 418 leaves us with 28.
Bring next digit (7) of the dividend behind the 28 and repeat the process: 287 / 65

Going ahead to step 5:
When dividing 287 by 65, we get 4 with a remainder of 27.
Record the quotient 4 as the next digit in the result. 
Result so far: 464.0
The remainder is 27 after subtracting 260 from 287.
Bring next digit (2) of the dividend behind the 27 and repeat the process: 272 / 65

Going ahead to step 6:
272 divided by 65 is 4 with a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 4644.0
Deduct 260 from 272 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 7:
If we divide 120 by 65, we get 1 and a remainder of 55.
Record the quotient 1 as the next digit in the result. 
Result so far: 4644.1
The remainder is 55 after subtracting 65 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 8:
If we divide 550 by 65, we get 8 and a remainder of 30.
The number 8 becomes the next digit in our result. 
Result so far: 4644.18
The remainder is 30 after subtracting 520 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 9:
65 can be fit into 300 4 times, resulting in a remainder of 40.
Write down 4 as next digit of the result. 
Result so far: 4644.184
Deduct 260 from 300 and we're left 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.

Step 10:
65 goes into 400 6 times with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 4644.1846
If we subtract 390 from 400, we 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.

Step 11:
65 goes into 100 1 times with a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 4644.18461
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.

Going ahead to step 12:
If we divide 350 by 65, we get 5 and a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 4644.184615
Subtract 325 from 350 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 13:
The number 65 fits into 250 3 times, leaving a remainder of 55.
Put 3 as the next digit of the answer. 
Result so far: 4644.1846153
Deduct 195 from 250 and we're left 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.

Let's proceed to step 14:
If we divide 550 by 65, we get 8 and a remainder of 30.
Write down 8 as next digit of the result. 
Result so far: 4644.18461538
The remainder is 30 after subtracting 520 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The quotient of the division is 4644.18461538, and the remainder is 3e-08.