Let's divide 269365 by 13
We want to figure out the number of times 269365 can be divided by 13.

Step 1:
2 divided by 13 is 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 13

Advancing to step 2:
The number 13 fits into 26 2 times, leaving a remainder of 0.
The next digit of our result is 2. 
Result so far: 2.0
Subtract 26 from 26 to get 0.
Append the next digit (9) from the dividend to 0 and continue with: 9 / 13

Step 3:
When dividing 9 by 13, we get 0 with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 20.0
If we subtract 0 from 9, we get 9.
Append the next digit (3) from the dividend to 9 and continue with: 93 / 13

Let's proceed to step 4:
13 can be fit into 93 7 times, resulting in a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 207.0
Subtract 91 from 93 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 13

Let's proceed to step 5:
26 divided by 13 is 2 with a remainder of 0.
The next digit of our result is 2. 
Result so far: 2072.0
If we subtract 26 from 26, we get 0.
Append the next digit (5) from the dividend to 0 and continue with: 5 / 13

Step 6:
13 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 20720.0
The remainder is 5 after subtracting 0 from 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
When dividing 50 by 13, we get 3 with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 20720.3
Subtract 39 from 50 to 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.

Let's proceed to step 8:
When dividing 110 by 13, we get 8 with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 20720.38
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.

Step 9:
13 goes into 60 4 times with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 20720.384
Deduct 52 from 60 and we're left 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.

Advancing to step 10:
13 goes into 80 6 times with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 20720.3846
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 11:
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: 20720.38461
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.

Let's proceed to step 12:
70 divided by 13 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 20720.384615
If we subtract 65 from 70, we 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.

On to step 13:
The number 13 fits into 50 3 times, leaving a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 20720.3846153
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 14:
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: 20720.38461538
Subtract 104 from 110 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

After the division, we end up with 20720.38461538 and a remainder of 6e-09.