277441 ÷ 65 
Our goal is to divide 277441 by 65.

Going ahead to step 1:
2 divided by 65 is 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 65

Step 2:
When dividing 27 by 65, we get 0 with a remainder of 27.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 27, we get 27.
Grab the next digit (7) from the dividend, add it to 27, then carry on: 277 / 65

Let's proceed to step 3:
277 divided by 65 is 4 with a remainder of 17.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
The remainder is 17 after subtracting 260 from 277.
Fetch the next digit (4) from the dividend, attach it to 17 and continue: 174 / 65

Going ahead to step 4:
65 can be fit into 174 2 times, resulting in a remainder of 44.
Put 2 as the next digit of the answer. 
Result so far: 42.0
Deduct 130 from 174 and we're left with 44.
Take the next digit (4) from the dividend and append it to 44, then repeat: 444 / 65

Let's proceed to step 5:
If we divide 444 by 65, we get 6 and a remainder of 54.
The number 6 becomes the next digit in our result. 
Result so far: 426.0
If we take 390 away from 444, we end up with 54.
Bring next digit (1) of the dividend behind the 54 and repeat the process: 541 / 65

Going ahead to step 6:
65 goes into 541 8 times with a remainder of 21.
Put 8 as the next digit of the answer. 
Result so far: 4268.0
If we take 520 away from 541, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 7:
210 divided by 65 is 3 with a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 4268.3
Subtracting 195 from 210 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.

Going ahead to step 8:
The number 65 fits into 150 2 times, leaving a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 4268.32
Subtract 130 from 150 to get 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 9:
When dividing 200 by 65, we get 3 with a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 4268.323
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.

Going ahead to step 10:
65 goes into 50 0 times with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 4268.323
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.

Moving on to step 11:
65 can be fit into 500 7 times, resulting in a remainder of 45.
The number 7 becomes the next digit in our result. 
Result so far: 4268.32307
The remainder is 45 after subtracting 455 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 12:
65 can be fit into 450 6 times, resulting in a remainder of 60.
Write down 6 as next digit of the result. 
Result so far: 4268.323076
The remainder is 60 after subtracting 390 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 13:
When dividing 600 by 65, we get 9 with a remainder of 15.
The number 9 becomes the next digit in our result. 
Result so far: 4268.3230769
If we subtract 585 from 600, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 14:
The number 65 fits into 150 2 times, leaving a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 4268.32307692
The remainder is 20 after subtracting 130 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

In conclusion, the division gives 4268.32307692 with a balance of 2e-08.