We look at the division of 278306 by 65 
Our goal is to divide 278306 by 65.

Advancing to step 1:
When dividing 2 by 65, we get 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 65

Let's proceed to step 2:
27 divided by 65 is 0 with a remainder of 27.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 27 to get 27.
Take the next digit (8) from the dividend and append it to 27, then repeat: 278 / 65

Step 3:
When dividing 278 by 65, we get 4 with a remainder of 18.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtracting 260 from 278 leaves us with 18.
Fetch the next digit (3) from the dividend, attach it to 18 and continue: 183 / 65

On to step 4:
65 goes into 183 2 times with a remainder of 53.
Put 2 as the next digit of the answer. 
Result so far: 42.0
If we take 130 away from 183, we end up with 53.
Include the next digit (0) from the dividend after 53, then repeat: 530 / 65

Going ahead to step 5:
65 can be fit into 530 8 times, resulting in a remainder of 10.
The number 8 becomes the next digit in our result. 
Result so far: 428.0
If we take 520 away from 530, we end up with 10.
Fetch the next digit (6) from the dividend, attach it to 10 and continue: 106 / 65

Moving on to step 6:
65 can be fit into 106 1 times, resulting in a remainder of 41.
The number 1 becomes the next digit in our result. 
Result so far: 4281.0
If we subtract 65 from 106, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Step 7:
The number 65 fits into 410 6 times, leaving a remainder of 20.
The number 6 becomes the next digit in our result. 
Result so far: 4281.6
If we take 390 away from 410, 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.

Advancing to step 8:
200 divided by 65 is 3 with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 4281.63
Subtracting 195 from 200 leaves us 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.

Moving on to step 9:
The number 65 fits into 50 0 times, leaving a remainder of 50.
The next digit of our result is 0. 
Result so far: 4281.63
Deduct 0 from 50 and we're left with 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 10:
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: 4281.6307
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.

On to step 11:
65 goes into 450 6 times with a remainder of 60.
Use 6 as the next digit of our solution. 
Result so far: 4281.63076
If we subtract 390 from 450, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 12:
When dividing 600 by 65, we get 9 with a remainder of 15.
Record the quotient 9 as the next digit in the result. 
Result so far: 4281.630769
Subtracting 585 from 600 leaves us 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.

Moving on to step 13:
65 can be fit into 150 2 times, resulting in a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 4281.6307692
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.

Advancing to step 14:
The number 65 fits into 200 3 times, leaving a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 4281.63076923
If we take 195 away from 200, we end up 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.

In conclusion, the division gives 4281.63076923 with a balance of 5e-09.