*Contributor: Katie Schnabel. Lesson ID: 14168*

You are in charge of all the sprinkles in a cupcake factory. How do you make sure they all get the same amount? Long Division! Explore how long division ensures the deliciousness of every bite.

categories

subject

Math

learning style

Auditory, Visual

personality style

Beaver, Golden Retriever

Grade Level

Intermediate (3-5)

Lesson Type

Quick Query

Welcome to the world of cupcakes! As the new Director of Sprinkles at the cupcake factory, you have a super fun mission: to sprinkle just the right amount of colorful sprinkles on every delicious cupcake.

But hold on! You’ve got a big challenge ahead.

- With so many sprinkles and cupcakes, how do you ensure each one gets the perfect amount?

Get ready to dive into the exciting world of long division! Learn how to master the division of big numbers—like 5-digit dividends and 3-digit divisors—so you can sprinkle joy all over your treats and become the best Sprinkler the factory has ever seen!

Cupcakes are amazing, but the sprinkles on a cupcake take them to a whole new level! As the Sprinkle Director, your job is to ensure each cupcake gets just the right amount of sprinkles.

To do this, you must divide the total number of sprinkles in the factory by the number of cupcakes you make. This way, every cupcake will look and taste fantastic!

You have 24,576 sprinkles ready and must make 512 cupcakes for an order.

- How many sprinkles will each cupcake will get?

**Setting Up the Problem**

Start with 24,576 divided by 512. Set it up like this.

Now, before diving in, take a look at the dividend of 24,576.

- Can 512 fit into 2, 24, or 245?

Nope! But if you look at 2,457, you can start estimating.

**Estimating and Multiplying**

- How many times can 512 fit into 2,457?

The first thing to do is estimate and multiply.

512 is close to 500.

2,457 is close to 2,500.

Try 512 x 5.

- What do you think that equals?

Yep! It is 2,560.

That’s too much! Try 512 x 4 instead.

- What is 512 x 4?

You're right! It is 2,048.

Now, write 4 on top and 2,048 underneath.

**Time to Subtract**

Now, subtract 2,457 - 2,048.

- What do you get?

That's right! It's 409.

Bring down the 6 to make 4,096.

**Repeating the Process**

Now, think about how many times 512 can fit into 4,096, and estimate again.

512 is close to 500.

4,096 is close to 4,000.

Try 512 x 8.

- What do you think?

You got it! It’s 4,096!

Write 8 on top and subtract.

- Will you have any sprinkles left over?

Nope! Because 4,096 - 4,096 = 0.

**How Many Sprinkles on Each Cupcake?**

- So, how many sprinkles does each cupcake get?

Yes! 48 sprinkles. Delicious!

**Try Another Example!**

Divide 10,208 by 176.

Set up the problem like this.

- Can 176 fit into 1, 10, or 102?

Nope!

- How about 1,020?

Start estimating.

176 is close to 200.

1,020 is close to 1,000.

Start with 176 x 5.

- What does that equal?

Yes! It’s 880

Now, write 5 on the line above and 880 underneath. It’s time to subtract.

- What is 1,020 - 880?

That’s 140! Bring down the 8 to make 1,408.

- How many times does 176 go into 1,408?

You got it! 8 times. Write up on top and subtract.

- What is 1,408 -1,408?

That’s right! It’s 0, so no remainder!

**Video Review**

- Want to review what you learned?

Check out this video!

- Ready to continue practicing?

Head to the *Got It?* section for fun activities and games to practice long division with 5-digit numbers!