We're dividing 242264 by 13 
We want to figure out the number of times 242264 can be divided by 13.

Step 1:
When dividing 2 by 13, we get 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Fetch the next digit (4) from the dividend, attach it to 2 and continue: 24 / 13

Advancing to step 2:
13 goes into 24 1 times with a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 11 after subtracting 13 from 24.
Take the next digit (2) from the dividend and append it to 11, then repeat: 112 / 13

Step 3:
112 divided by 13 is 8 with a remainder of 8.
The next digit of our result is 8. 
Result so far: 18.0
If we take 104 away from 112, we end up with 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 13

Going ahead to step 4:
If we divide 82 by 13, we get 6 and a remainder of 4.
The next digit of our result is 6. 
Result so far: 186.0
Deduct 78 from 82 and we're left with 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 13

Moving on to step 5:
13 can be fit into 46 3 times, resulting in a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 1863.0
Deduct 39 from 46 and we're left with 7.
Append the next digit (4) from the dividend to 7 and continue with: 74 / 13

Moving on to step 6:
13 can be fit into 74 5 times, resulting in a remainder of 9.
Put 5 as the next digit of the answer. 
Result so far: 18635.0
If we subtract 65 from 74, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 7:
If we divide 90 by 13, we get 6 and a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 18635.6
Deduct 78 from 90 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 8:
When dividing 120 by 13, we get 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 18635.69
If we take 117 away from 120, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 9:
If we divide 30 by 13, we get 2 and a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 18635.692
Subtract 26 from 30 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 10:
13 can be fit into 40 3 times, resulting in a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 18635.6923
Subtract 39 from 40 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 11:
When dividing 10 by 13, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 18635.6923
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 12:
13 goes into 100 7 times with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 18635.692307
Subtracting 91 from 100 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 13:
If we divide 90 by 13, we get 6 and a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 18635.6923076
Subtracting 78 from 90 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 14:
13 goes into 120 9 times with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 18635.69230769
Subtract 117 from 120 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

In conclusion, the division gives 18635.69230769 with a balance of 3e-09.