288 divided by 3

2025

2 min read 30-03-2025

Meta Description: Learn how to solve 288 divided by 3 with our easy-to-follow, step-by-step guide. Master long division techniques and understand the process clearly. Perfect for students and anyone looking to brush up on their math skills!

Long division might seem daunting at first, but with a clear, step-by-step approach, even complex problems like 288 divided by 3 become manageable. This guide will walk you through the process, making it easy to understand and replicate for similar problems. We'll break it down into simple, digestible steps, ensuring you grasp the underlying concepts.

Understanding the Problem: 288 ÷ 3

Before we begin, let's understand what the problem 288 ÷ 3 actually means. It's asking: "How many times does 3 go into 288?" The answer will represent the number of groups of 3 you can make from 288 items.

Step-by-Step Solution: Long Division

Here's how to solve 288 divided by 3 using long division:

Step 1: Set up the Problem

Write the problem in the standard long division format:

     _____
3 | 288

Step 2: Divide the Hundreds Digit

Look at the hundreds digit of the dividend (288), which is 2. How many times does 3 go into 2? It doesn't go in at all. So, we move to the tens digit.

Step 3: Divide the Tens and Hundreds Digits

Now consider the first two digits: 28. How many times does 3 go into 28? It goes in 9 times (9 x 3 = 27). Write the 9 above the 8 in the quotient.

     9_
3 | 288

Step 4: Subtract and Bring Down

Multiply the quotient digit (9) by the divisor (3): 9 x 3 = 27. Subtract this from the first two digits of the dividend (28 - 27 = 1). Bring down the next digit (8).

Step 5: Divide the Remaining Digits

Now, we have 18. How many times does 3 go into 18? It goes in 6 times (6 x 3 = 18). Write the 6 above the 8 in the quotient.

Step 6: Subtract and Check the Remainder

Multiply the quotient digit (6) by the divisor (3): 6 x 3 = 18. Subtract this from the remaining digits (18 - 18 = 0). The remainder is 0.

The Answer

Therefore, 288 divided by 3 is 96.

Checking Your Work

It's always a good idea to check your answer. Multiply the quotient (96) by the divisor (3): 96 x 3 = 288. This matches the original dividend, confirming our answer is correct.

Practical Applications

Understanding long division is crucial for various real-world applications, from splitting costs equally among friends to calculating unit prices or figuring out how many items fit into containers. Mastering this fundamental skill will benefit you in many areas.

Conclusion: Mastering Long Division

This step-by-step guide demonstrated how to effectively solve 288 divided by 3 using long division. Remember to practice regularly, and soon you'll be able to tackle more complex division problems with confidence. The key is understanding the process, step by step. Now, go forth and conquer those division problems!