We're dividing 309805 by 13 
Let's see how many times 13 fits into 309805.

Going ahead to step 1:
If we divide 3 by 13, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 13

Moving on to step 2:
If we divide 30 by 13, we get 2 and a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we take 26 away from 30, we end up with 4.
Bring next digit (9) of the dividend behind the 4 and repeat the process: 49 / 13

Going ahead to step 3:
13 goes into 49 3 times with a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 23.0
If we take 39 away from 49, we end up with 10.
Include the next digit (8) from the dividend after 10, then repeat: 108 / 13

Let's proceed to step 4:
13 goes into 108 8 times with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 238.0
Subtracting 104 from 108 leaves us with 4.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 13

Going ahead to step 5:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 2383.0
The remainder is 1 after subtracting 39 from 40.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 13

Moving on to step 6:
The number 13 fits into 15 1 times, leaving a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 23831.0
Deduct 13 from 15 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 7:
20 divided by 13 is 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 23831.1
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 8:
13 goes into 70 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 23831.15
Subtract 65 from 70 to get 5.
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 9:
If we divide 50 by 13, we get 3 and a remainder of 11.
The next digit of our result is 3. 
Result so far: 23831.153
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 10:
If we divide 110 by 13, we get 8 and a remainder of 6.
The next digit of our result is 8. 
Result so far: 23831.1538
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.

Going ahead to step 11:
13 goes into 60 4 times with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 23831.15384
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 12:
13 goes into 80 6 times with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 23831.153846
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.

Advancing to step 13:
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: 23831.1538461
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.

Going ahead to step 14:
70 divided by 13 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 23831.15384615
Subtract 65 from 70 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

After the division, we end up with 23831.15384615 and a remainder of 5e-09.