# How to Solve Word Problems with Four-digit Dividends and Two-digit Divisors

In real-world scenarios, we often encounter situations where we need to divide large four-digit numbers by two-digit numbers. These word problems can range from distributing resources on a large scale to calculating averages for big datasets. Let's dive into some word problems that involve this type of division.

## Dividing Four-digit Numbers by Two-digit Numbers in Word Problems

### Example 1:

A city marathon had \(8,640\) participants and wanted to divide them equally into groups of \(36\) for a warm-up session. How many groups will be formed?

Solution Process:

Divide \(8,640\) by \(36\).

**Answer:**

There will be \(240\) groups.

**The Absolute Best Book for 5th Grade Students**

### Example 2:

A factory produced \(9,216\) toys in a month. If they pack these toys in boxes of \(48\) each, how many boxes will they need?

Solution Process:

Divide \(9,216\) by \(48\).

**Answer:**

They will need \(192\) boxes.

Tackling word problems that involve dividing four-digit numbers by two-digit numbers requires a clear understanding of the problem’s context and careful calculations. By breaking down the problem, identifying the numbers involved, and performing the division, you can find the solution and apply this knowledge to various real-world scenarios. Practice regularly with different word problems to hone your skills and become adept at handling large-scale division challenges!

### Practice Questions:

1. A school has \(6,372\) students and wants to distribute them equally in classes of \(53\). How many classes will be formed?

2. A library acquired \(7,808\) new books and plans to place them on shelves, with \(56\) books per shelf. How many shelves will they need?

3. A charity event had \(8,294\) attendees and wants to divide them into teams of \(47\) for various activities. How many teams can they form?

4. A company sold \(9,576\) products and wants to ship them in cartons of \(84\) each. How many cartons will they prepare?

5. A music festival sold \(5,460\) tickets and plans to divide the attendees into sections of \(91\) each for seating. How many sections will there be?

**A Perfect Book for Grade 5 Math Word Problems!**

**Answers:**

1. \(120\) classes with a remainder of \(12\)

2. \(139\) shelves with a remainder of \(24\)

3. \(176\) teams with a remainder of \(30\)

4. \(114\) cartons

5. \(60\) sections

**The Best Math Books for Elementary Students**

## Related to This Article

### More math articles

- Using Strip Diagrams to Represent Fractions
- 4 Perfect Tablets for Note-Taking in 2024
- The 10 Best Whiteboards for Online Tutoring
- Embark on Your Mathematical Odyssey: “PERT Math for Beginners” Companion Guide
- Top 10 CHSPE Math Practice Questions
- Standard Form of a Circle
- Zero Mastery: How to Tackle Word Problems with Numbers Ending in Zero
- FREE 6th Grade Common Core Math Practice Test
- Equation of Each Ellipse and Finding the Foci, Vertices, and Co– Vertices of Ellipses
- Number Properties Puzzle – Challenge 16

## What people say about "How to Solve Word Problems with Four-digit Dividends and Two-digit Divisors - Effortless Math: We Help Students Learn to LOVE Mathematics"?

No one replied yet.