242768 divided by 45 
We want to figure out the number of times 242768 can be divided by 45.

Moving on to step 1:
45 can be fit into 2 0 times, resulting in a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Include the next digit (4) from the dividend after 2, then repeat: 24 / 45

Advancing to step 2:
When dividing 24 by 45, we get 0 with a remainder of 24.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 24 leaves us with 24.
Take the next digit (2) from the dividend and append it to 24, then repeat: 242 / 45

Let's proceed to step 3:
If we divide 242 by 45, we get 5 and a remainder of 17.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we take 225 away from 242, we end up with 17.
Fetch the next digit (7) from the dividend, attach it to 17 and continue: 177 / 45

On to step 4:
The number 45 fits into 177 3 times, leaving a remainder of 42.
The next digit of our result is 3. 
Result so far: 53.0
If we take 135 away from 177, we end up with 42.
Fetch the next digit (6) from the dividend, attach it to 42 and continue: 426 / 45

Let's proceed to step 5:
When dividing 426 by 45, we get 9 with a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 539.0
Subtracting 405 from 426 leaves us with 21.
Append the next digit (8) from the dividend to 21 and continue with: 218 / 45

On to step 6:
45 goes into 218 4 times with a remainder of 38.
Use 4 as the next digit of our solution. 
Result so far: 5394.0
Subtract 180 from 218 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 7:
The number 45 fits into 380 8 times, leaving a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 5394.8
Subtract 360 from 380 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
200 divided by 45 is 4 with a remainder of 20.
The next digit of our result is 4. 
Result so far: 5394.84
If we take 180 away from 200, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 9:
If we divide 200 by 45, we get 4 and a remainder of 20.
The next digit of our result is 4. 
Result so far: 5394.844
Deduct 180 from 200 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Our division results in 5394.844 with a remaining 0.002.