We divide 105263 by 13
Let's see how many times 13 fits into 105263.

On to step 1:
13 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.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 13

Let's proceed to step 2:
If we divide 10 by 13, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 13

Going ahead to step 3:
13 goes into 105 8 times with a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtract 104 from 105 to get 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 13

Moving on to step 4:
12 divided by 13 is 0 with a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 80.0
Subtract 0 from 12 to get 12.
Include the next digit (6) from the dividend after 12, then repeat: 126 / 13

Moving on to step 5:
13 can be fit into 126 9 times, resulting in a remainder of 9.
The next digit of our result is 9. 
Result so far: 809.0
Subtract 117 from 126 to get 9.
Append the next digit (3) from the dividend to 9 and continue with: 93 / 13

Advancing to step 6:
If we divide 93 by 13, we get 7 and a remainder of 2.
The next digit of our result is 7. 
Result so far: 8097.0
If we subtract 91 from 93, 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.

On to step 7:
If we divide 20 by 13, we get 1 and a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 8097.1
Subtracting 13 from 20 leaves us 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.

On to step 8:
70 divided by 13 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 8097.15
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.

On to step 9:
If we divide 50 by 13, we get 3 and a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 8097.153
Subtracting 39 from 50 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 10:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 8097.1538
The remainder is 6 after subtracting 104 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 11:
13 goes into 60 4 times with a remainder of 8.
The next digit of our result is 4. 
Result so far: 8097.15384
If we subtract 52 from 60, 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 12:
80 divided by 13 is 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 8097.153846
If we take 78 away from 80, we end up 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.

Going ahead to step 13:
20 divided by 13 is 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 8097.1538461
If we subtract 13 from 20, we 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.

Advancing to step 14:
70 divided by 13 is 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 8097.15384615
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.

Our division results in 8097.15384615 with a remaining 5e-09.