13779 ÷ 65 
Our goal is to divide 13779 by 65.

Step 1:
65 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 65

Moving on to step 2:
When dividing 13 by 65, we get 0 with a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 13 after subtracting 0 from 13.
Bring next digit (7) of the dividend behind the 13 and repeat the process: 137 / 65

On to step 3:
The number 65 fits into 137 2 times, leaving a remainder of 7.
Put 2 as the next digit of the answer. 
Result so far: 2.0
The remainder is 7 after subtracting 130 from 137.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 65

Moving on to step 4:
When dividing 77 by 65, we get 1 with a remainder of 12.
The next digit of our result is 1. 
Result so far: 21.0
Subtracting 65 from 77 leaves us with 12.
Fetch the next digit (9) from the dividend, attach it to 12 and continue: 129 / 65

On to step 5:
When dividing 129 by 65, we get 1 with a remainder of 64.
Use 1 as the next digit of our solution. 
Result so far: 211.0
Subtracting 65 from 129 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 6:
The number 65 fits into 640 9 times, leaving a remainder of 55.
Put 9 as the next digit of the answer. 
Result so far: 211.9
Deduct 585 from 640 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 7:
When dividing 550 by 65, we get 8 with a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 211.98
If we subtract 520 from 550, we get 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 8:
If we divide 300 by 65, we get 4 and a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 211.984
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.

Step 9:
The number 65 fits into 400 6 times, leaving a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 211.9846
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.

Advancing to step 10:
65 can be fit into 100 1 times, resulting in a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 211.98461
The remainder is 35 after subtracting 65 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 11:
If we divide 350 by 65, we get 5 and a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 211.984615
Deduct 325 from 350 and we're left 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.

Moving on to step 12:
65 goes into 250 3 times with a remainder of 55.
Write down 3 as next digit of the result. 
Result so far: 211.9846153
The remainder is 55 after subtracting 195 from 250.
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 13:
If we divide 550 by 65, we get 8 and a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 211.98461538
If we subtract 520 from 550, we get 30.
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 211.98461538, and the remainder is 3e-08.