We're dividing 295277 by 13 
We want to divide 295277 by 13.

Advancing to step 1:
13 can be fit into 2 0 times, resulting in a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Include the next digit (9) from the dividend after 2, then repeat: 29 / 13

Step 2:
29 divided by 13 is 2 with a remainder of 3.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we subtract 26 from 29, we get 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 13

On to step 3:
When dividing 35 by 13, we get 2 with a remainder of 9.
Use 2 as the next digit of our solution. 
Result so far: 22.0
Subtracting 26 from 35 leaves us with 9.
Append the next digit (2) from the dividend to 9 and continue with: 92 / 13

Moving on to step 4:
13 goes into 92 7 times with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 227.0
Subtract 91 from 92 to get 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 13

Moving on to step 5:
17 divided by 13 is 1 with a remainder of 4.
The next digit of our result is 1. 
Result so far: 2271.0
If we subtract 13 from 17, we get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 13

Step 6:
47 divided by 13 is 3 with a remainder of 8.
The next digit of our result is 3. 
Result so far: 22713.0
If we subtract 39 from 47, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 7:
If we divide 80 by 13, we get 6 and a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 22713.6
Subtracting 78 from 80 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
If we divide 20 by 13, we get 1 and a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 22713.61
If we take 13 away from 20, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 9:
13 goes into 70 5 times with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 22713.615
The remainder is 5 after subtracting 65 from 70.
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 10:
The number 13 fits into 50 3 times, leaving a remainder of 11.
The next digit of our result is 3. 
Result so far: 22713.6153
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 11:
110 divided by 13 is 8 with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 22713.61538
If we subtract 104 from 110, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 12:
13 goes into 60 4 times with a remainder of 8.
The next digit of our result is 4. 
Result so far: 22713.615384
Subtracting 52 from 60 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 13:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 22713.6153846
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 14:
The number 13 fits into 20 1 times, leaving a remainder of 7.
The next digit of our result is 1. 
Result so far: 22713.61538461
Subtract 13 from 20 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The quotient of the division is 22713.61538461, and the remainder is 7e-09.