Let's divide 263307 by 13
We're looking to find how many times 13 goes into 263307.

Advancing to step 1:
13 goes into 2 0 times with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 13

Moving on to step 2:
13 can be fit into 26 2 times, resulting in a remainder of 0.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 0 after subtracting 26 from 26.
Take the next digit (3) from the dividend and append it to 0, then repeat: 3 / 13

Going ahead to step 3:
When dividing 3 by 13, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 20.0
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 13

Step 4:
13 can be fit into 33 2 times, resulting in a remainder of 7.
Record the quotient 2 as the next digit in the result. 
Result so far: 202.0
Subtracting 26 from 33 leaves us with 7.
Bring next digit (0) of the dividend behind the 7 and repeat the process: 70 / 13

On to step 5:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 2025.0
If we take 65 away from 70, we end up with 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 13

Going ahead to step 6:
13 can be fit into 57 4 times, resulting in a remainder of 5.
Put 4 as the next digit of the answer. 
Result so far: 20254.0
The remainder is 5 after subtracting 52 from 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 7:
13 goes into 50 3 times with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 20254.3
If we subtract 39 from 50, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 8:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 20254.38
Deduct 104 from 110 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 9:
If we divide 60 by 13, we get 4 and a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 20254.384
If we take 52 away from 60, we end up 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 10:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 20254.3846
If we subtract 78 from 80, we get 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 11:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 20254.38461
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 12:
When dividing 70 by 13, we get 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 20254.384615
Subtracting 65 from 70 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.

Advancing to step 13:
13 goes into 50 3 times with a remainder of 11.
The next digit of our result is 3. 
Result so far: 20254.3846153
If we subtract 39 from 50, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 14:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 20254.38461538
Subtracting 104 from 110 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The quotient of the division is 20254.38461538, and the remainder is 6e-09.