Math  /  Numbers & Operations

Question124÷67124 \div 67

Studdy Solution

STEP 1

What is this asking? How many times does 67 fit into 124? Watch out! Don't mix up the dividend and the divisor!
Remember, we're dividing 124 *by* 67.

STEP 2

1. Set up the division.
2. Perform the division.

STEP 3

Alright, let's **get this party started**!
We're going to **divide** 124 by 67.
We can write this as a fraction: 12467 \frac{124}{67} This means we want to find out how many times 67 goes into 124.

STEP 4

Let's see, 67 doesn't go into 1, and it doesn't go into 12.
But it *does* go into 124!
Now, how many times does 67 fit into 124?

STEP 5

Well, 267=1342 \cdot 67 = 134, which is too big.
So, 67 fits into 124 only **one** time.
Let's write that down: 124÷67=1 124 \div 67 = 1 with a **remainder**.

STEP 6

Now, let's find the **remainder**.
We multiply 167=671 \cdot 67 = 67, and subtract that from our **initial value**, 124: 12467=57 124 - 67 = 57 So, our **remainder** is 57.

STEP 7

We can express our division result as a **mixed number**: 15767 1\frac{57}{67} This means 67 goes into 124 one full time with 57 left over.

STEP 8

Alternatively, we can express the result as a **decimal**.
Since the remainder, 57, is less than the divisor, 67, we know the decimal part will be less than 1.
To find the decimal, we can continue the division by adding a decimal point and some zeros to the dividend: 124.0067 \frac{124.00}{67}

STEP 9

67 goes into 570 eight times because 678=53667 \cdot 8 = 536.
Subtracting this from 570, we get 570536=34570 - 536 = 34.
Bringing down another zero, we have 340.

STEP 10

67 goes into 340 five times because 675=33567 \cdot 5 = 335.
Subtracting this from 340, we get 340335=5340 - 335 = 5.
We can continue this process, but let's round to two decimal places.

STEP 11

So, our **decimal approximation** is approximately 1.85.

STEP 12

124÷67124 \div 67 is equal to 157671\frac{57}{67} or approximately 1.85.

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