Answer: Check out the diagram below
The answer in decimal form is 19.5
The answer in remainder form is 19 remainder 2.
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Explanation:
We place 78 under the division bar, with 4 to the left of it and outside the bar, so to speak.
Then we ask ourselves: "how many times does 4 go into 7?"
That answer would be 1 full time since 4*1 = 4 is less than 7 (while 2*4 = 8 is too large). This means we write "1" over top the 7 as shown in the diagram.
The 4 from 4*1 = 4 is written underneath the 7, and we subtract: 7-4 = 3
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Next, we carry down the 8 and then repeat the same set of steps as shown above. This time we ask: "how many times does 4 go into 3?". Such a thing isn't possible, but we can ask "how many times does 4 go into 38". Through trial and error, you should find that the answer is 9 times because 9*4 = 36 is the closest we get to 38 without going overboard.
So we'll write "9" above the 8 as shown in the diagram.
The "36" will be written directly under the 38. Then we subtract to get 38-36 = 2.
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We have one more round of steps here.
First we pull down a 0 to make that 2 turn into 20
Then we ask: "How many times does 4 go into 20?". That would be 5 whole times and there aren't any leftovers unlike before.
So "5" is the last piece of the puzzle we place up top to form the final answer of 19.5
You can check the answer by noting that 19.5*4 = 78
You can also check the answer by using a calculator to type in 78/4 or [tex]78 \div 4[/tex]
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If your teacher wants remainder form, instead of decimal form, then you'd stop once you reach that "2" (before it turns into 20) since 2 is smaller than 4. In other words, 78/4 = 19 remainder 2. You can think of it like having 78 cookies and 4 friends to split those cookies up. Each friend gets 19 whole cookies and there are 2 leftover.
