10905265 ÷ 13 
Let's see how many times 13 fits into 10905265.

Going ahead to step 1:
1 divided by 13 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 13

Step 2:
13 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Take the next digit (9) from the dividend and append it to 10, then repeat: 109 / 13

Let's proceed to step 3:
If we divide 109 by 13, we get 8 and a remainder of 5.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we take 104 away from 109, we end up with 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 13

Let's proceed to step 4:
If we divide 50 by 13, we get 3 and a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 83.0
The remainder is 11 after subtracting 39 from 50.
Append the next digit (5) from the dividend to 11 and continue with: 115 / 13

Advancing to step 5:
115 divided by 13 is 8 with a remainder of 11.
The number 8 becomes the next digit in our result. 
Result so far: 838.0
If we subtract 104 from 115, we get 11.
Append the next digit (2) from the dividend to 11 and continue with: 112 / 13

Step 6:
112 divided by 13 is 8 with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 8388.0
Deduct 104 from 112 and we're left with 8.
Fetch the next digit (6) from the dividend, attach it to 8 and continue: 86 / 13

Let's proceed to step 7:
If we divide 86 by 13, we get 6 and a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 83886.0
The remainder is 8 after subtracting 78 from 86.
Append the next digit (5) from the dividend to 8 and continue with: 85 / 13

Moving on to step 8:
13 can be fit into 85 6 times, resulting in a remainder of 7.
The next digit of our result is 6. 
Result so far: 838866.0
Subtracting 78 from 85 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.

Let's proceed to step 9:
When dividing 70 by 13, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 838866.5
If we take 65 away from 70, we end up 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.

Let's proceed to step 10:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 838866.53
If we take 39 away from 50, we end up 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.

Going ahead to step 11:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 838866.538
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.

Let's proceed to step 12:
The number 13 fits into 60 4 times, leaving a remainder of 8.
The next digit of our result is 4. 
Result so far: 838866.5384
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 13:
13 goes into 80 6 times with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 838866.53846
Deduct 78 from 80 and we're left 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.

Advancing to step 14:
The number 13 fits into 20 1 times, leaving a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 838866.538461
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.

Advancing to step 15:
When dividing 70 by 13, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 838866.5384615
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.

Step 16:
When dividing 50 by 13, we get 3 with a remainder of 11.
The next digit of our result is 3. 
Result so far: 838866.53846153
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.

The final result is 838866.53846153 with a remainder of 1.1e-08.