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This guide teaches you how to convert a division problem into decimal form using the example of 37 ÷ 8. It breaks down each step clearly, showing how to handle remainders by adding a decimal point and a zero. By following these instructions, you'll learn how to extend your division without getting stuck. The process includes determining how many times the divisor goes into the dividend, adding zeros, and continuing the division until you reach the desired decimal places. Perfect for students looking to enhance their math skills!
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We will use the example below. It works out neatly to one decimal place 37 ÷ 8
First, put the problem in more useful form 8 37 Next ask: How many times does 8 go into 37? 8 * 4 = 32 so it is 4 with a remainderof 5
Here is how it looks. 4 R 5 8 37 32 8 doesn’t go into 5 so that’s it. Right? No. Wrong. 5
Now, you seem stuck 4 8 37 32 5 But not if you remember this simple phrase
Add a point, add a zero. 4 . 8 37 32 5 0 Now instead of being stuck with a remainder, you just keep dividing.
Ask how many times does 8 go into 50 (not 5) 4 . 6 8 37 32 5 0 Answer is 6. Put 6 after the decimal point.
4 . 6 8 37 32 5 0 4 8 2 8*6=48 so put 48 under the 50 and subtract.
Now, add a zero after the 20 and repeat the process. 4 . 6 8 37 32 5 0 4 8 2 0
4 . 6 2 How many times does 8 go into 20? 2. So put 2 after the 6 8 37 32 5 0 4 8 16 under the 20. And repeat until you can't or until you get bored. 2 0 16 4