Dividing Four-Digit and Larger Numbers

You just learned how to divide 3-digit numbers.Β

Do you remember the steps to long division? π€

Let's recall them! π€

**Step 1: **Arrange the problem in **long division form. **Start with the digit at the **highest place value **in the dividend.

**Step 2: **See **how many times the divisor fits into this digit.** Write this number on **top as ****quotient****,** and **the product **of this quotient and the divisor under the dividend's digit.

**Step 3: **Subtract the product from the digit in the dividend.

**Step 4: ****Bring down the next digit **on the right (π), and combine it with previous remainder, if any.

**Step 5: ****Repeat **from **Step 2****.**

**Step 6: **At the end, the number on top is the **quotient,** and any number left at the bottom is the **remainder.**

π Look at this division problem.

8,356 Γ· 4 = ?

Let's solve this division problem using the long division steps. π€

β
First, we will arrange the problem in **long division form.**

β
Now, let's **look at the first digit.**

How many 4's can you fit into an 8? π€

Very good! **2.**

So, we write the **2**** on top,** as quotient, and the **product of 2 and 4 ****below the 8.**

Now, we **subtract **this product from the digit in the dividend (8) to get the remainder.

Great work! π

β
Now, let's **bring down the next digit,** 3.

How many 4's can you fit into a 3? π€

That's right! None, or **0.**

So, we write the **0**** on top,** as quotient.

When the quotient for any digit in long division is 0, wedivide the next digit along with it.

β
So, let's **bring down the next digit,** 5.

Now, let's **divide 35 by 4.**

Can you tell how many 4's can fit inside a 35? π€

Very good! **8.**

Again, we write the **8**** on top,** as quotient, and the **product of 8 and 4**** under the 35.**

And then, we **subtract **this product from 35.

Nice job! π

β
Let's now **bring down the last digit,** 6.

Since we have a remainder from last time, we will **combine the remainder with the 6,** and divide them together.

So, we will now **divide 36 by 4.**

Can you tell how many 4's fit into a 36? π€

Correct! **9.**

So, again, we write the **9**** on top,** as quotient, and the **product of 9 and 4**** below the 36.**

Then, we **subtract.**

Awesome! π

So, can you tell what the quotient and remainder to this question are? π

Very good!

π The** quotient here is 2,089** and the** remainder is 0**.

So,

8,356 Γ· 4 =2,089

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π Let's take another example.

4,372 Γ· 2 = ?

Can you follow the steps from before and solve this question? π€

The diagram below shows all the steps in this division problem:

Since this problem ends in 0, we have no remainder!

4,372 Γ· 2 = 2,186

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π Now, letβs try an even bigger number!

37,852 Γ· 3 = ?

Let's follow the steps and solve the problem! π

37,852 Γ· 3 = 12,617 R2

Great work! π Now, you know how to divide numbers with 4 or more digits.

π€ Now, you can move on to the practice!

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