Long Division - Dividing Three-Digit Numbers

In an earlier lesson, you learned that you can write division equations in long division form like this:

So far you divided numbers that were 1 or 2-digits long. You might even have memorized a lot of these division facts by now!

But what happens when you have a problem like this:

682 Γ· 2 = ?

To solve it, we'll need **long division!**

β
Start by writing your division problem in the **long division form**:

β
Now, let's **look at the first digit **in the dividend, **6.**

Can you tell how many 2's will fit into the 6? π€

That's right! **3.**

So, we write the **3**** on top,** as quotient, and write the **product of 3 and 2**** below the 6.**

Now, we **subtract this product from our digit in the dividend (6) **to get the difference.

Awesome! π

β
Now, let's **bring down the next digit,** 8.

Great job! π

Then, we **repeat **what we did before!

Can you tell how many 2's will fit into the 8? π€

Very good! **4.**

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

Now, we **subtract this product from 8.**

Nice job! π

Can you guess the next step? π€

You got it! π€

β
We **bring down the last digit, 2, and repeat **what we did before.

Can you tell how many 2's will fit into a 2? π€

Correct! Just **1.**

So, we write the **1**** on top,** as quotient, and write the **product of 1 and 2 ****below the 2.**

Then, we **subtract.**

Perfect! π

So, what's our answer? π

Very good! It's **341.**

682 Γ· 2 =341

Great work! π

Long division is a whole lot of steps. You'll learn them like the back of your hand in no time. Just keep going. π

Let's look at one more example.

249 Γ· 3 = ?

Do you remember the first step? π€

Very good! π

β
We start by writing the problem in **long division form!**

β
Now, we **look at the first digit,** 2.

How many 3's will fit into a 2? π€

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

So, let's put a **0**** on top,** as the quotient.

If the **quotient for a digit is 0,** we divide this digit and the next digit **together **in the next step.

β
So, here, we **divide 24 by 3.**

Can you tell how many 3's will fit into 24? π€

Very good! **8.**

So, we write the **8**** on top,** as quotient, and write the **product of 8 and 3**** below the 24.**

Then, we **subtract 24 from 24. **π€

Perfect! π

Do you remember the next step? π

Correct! π

β
Next, **we bring down the next digit, 9, and repeat **the steps.

Awesome! π

So, what is the **final answer?**

Very good! It's **83.** (We can **ignore the 0, since it's at the beginning **of the number.)

249 Γ· 3 =83

Great work! π

Earlier, you learned about division and remainders.

Do you remember what a remainder is? π€

Sometimes, you can't split a number equally. There is a 'leftover'.

A **remainder** is the number 'leftover' after division.

For example,

11 Γ· 2 =5R 1 (Remainder 1)

Can we get a remainder in 3-digit division?

**Yes,** we can!

Here's an example of division with a remainder. π€

726 Γ· 4 = ?

To divide, let's **follow the steps again. **πΒ

Do you remember the first step?

Very good! π

β
We start by writing the problem in **long division form.**

β
Now, **look at the first digit.**

Can you tell how many 4's will fit into a 7? π€

That's right! Just **1.**

So, we write **1**** on top,** as the quotient, and write the **product of 1 and 4 ****below the 7.**

Now, we **subtract **this product from 7.

Great work! π

β
Now, let's **bring down the next digit,** 2.

Since we have a remainder from last time **(3),** we should now **divide both digits together.**

So, we will now **divide 32 by 4.**

Can you tell how many 4's will fit in 32? π€

Correct again! **8.**

So, we write the **8**** on top,** and write the **product of 8 and 4 ****below the 32.**

Then, we **subtract.**

Awesome! π

β
Now, let's **bring down the next digit, 6 and repeat **what we did before.

How many 4's fit into a 6?

That's right! **1.**

So, we write the **1**** on top,** and the **product of 1 and 4 ****below the 6.**

Then, we **subtract.**

Nice job! π

Now, what happens? π€

We have nothing left to bring down. And we canβt divide 2 by 4.

This means **2 is our remainder, and 181 is our quotient!**Β

π€ So, the answer is:

726 Γ· 4 =181R 2

Great work! π Now, you know how to divide three-digit numbers!

Check out any of these great videos below to get more practice:

Want to see all the steps of long division in an animation, just for fun?

Here's what long division looks like sped up:

Now, you can move on to practice. π

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