We're dividing 295863 by 13 
We want to figure out the number of times 295863 can be divided by 13.

Going ahead to step 1:
13 goes into 2 0 times with a remainder of 2.
The number 0 becomes the next digit in our 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

Going ahead to step 2:
The number 13 fits into 29 2 times, leaving a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 2.0
Deduct 26 from 29 and we're left with 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 13

Let's proceed to step 3:
The number 13 fits into 35 2 times, leaving a remainder of 9.
Write down 2 as next digit of the result. 
Result so far: 22.0
Subtracting 26 from 35 leaves us with 9.
Bring next digit (8) of the dividend behind the 9 and repeat the process: 98 / 13

Let's proceed to step 4:
13 goes into 98 7 times with a remainder of 7.
The next digit of our result is 7. 
Result so far: 227.0
Subtract 91 from 98 to get 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 13

Step 5:
The number 13 fits into 76 5 times, leaving a remainder of 11.
Write down 5 as next digit of the result. 
Result so far: 2275.0
If we take 65 away from 76, we end up with 11.
Append the next digit (3) from the dividend to 11 and continue with: 113 / 13

On to step 6:
13 can be fit into 113 8 times, resulting in a remainder of 9.
Record the quotient 8 as the next digit in the result. 
Result so far: 22758.0
If we subtract 104 from 113, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 7:
When dividing 90 by 13, we get 6 with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 22758.6
Subtract 78 from 90 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 8:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 22758.69
Deduct 117 from 120 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 9:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 22758.692
If we subtract 26 from 30, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 10:
13 goes into 40 3 times with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 22758.6923
Subtract 39 from 40 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 11:
13 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 22758.6923
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 12:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 22758.692307
The remainder is 9 after subtracting 91 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 13:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 22758.6923076
Deduct 78 from 90 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.

Step 14:
When dividing 120 by 13, we get 9 with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 22758.69230769
If we take 117 away from 120, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Our division results in 22758.69230769 with a remaining 3e-09.