We're dividing 150774 by 24 
We're looking to find how many times 24 goes into 150774.

Moving on to step 1:
If we divide 1 by 24, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 24

Step 2:
24 can be fit into 15 0 times, resulting in a remainder of 15.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 15, we end up with 15.
Bring next digit (0) of the dividend behind the 15 and repeat the process: 150 / 24

Advancing to step 3:
150 divided by 24 is 6 with a remainder of 6.
The next digit of our result is 6. 
Result so far: 6.0
Subtract 144 from 150 to get 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 24

Going ahead to step 4:
67 divided by 24 is 2 with a remainder of 19.
The number 2 becomes the next digit in our result. 
Result so far: 62.0
Deduct 48 from 67 and we're left with 19.
Grab the next digit (7) from the dividend, add it to 19, then carry on: 197 / 24

Going ahead to step 5:
The number 24 fits into 197 8 times, leaving a remainder of 5.
Write down 8 as next digit of the result. 
Result so far: 628.0
Deduct 192 from 197 and we're left with 5.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 24

Going ahead to step 6:
If we divide 54 by 24, we get 2 and a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 6282.0
Deduct 48 from 54 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.

Let's proceed to step 7:
If we divide 60 by 24, we get 2 and a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 6282.2
Subtract 48 from 60 to get 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:
The number 24 fits into 120 5 times, leaving a remainder of 0.
The next digit of our result is 5. 
Result so far: 6282.25
The remainder is 0 after subtracting 120 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 9:
24 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 6282.25
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 10:
24 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 6282.25
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 6282.25, with a leftover of 0.0.