230 divided by 4

Breiz Heurope

2 min read

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11-03-2025

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Meta Description: Learn how to solve 230 divided by 4 with a clear, step-by-step guide. This tutorial breaks down long division for beginners and provides helpful tips for similar problems. Master this fundamental math skill today!

Long division can seem daunting, but with a structured approach, it becomes manageable. This article will guide you through solving 230 divided by 4, explaining each step in detail. Whether you're a student brushing up on your skills or an adult needing a refresher, this guide will help you understand the process.

Understanding Long Division

Before we begin, let's quickly review the components of a long division problem:

• Dividend: The number being divided (230 in this case).
• Divisor: The number you're dividing by (4 in this case).
• Quotient: The result of the division (the answer).
• Remainder: The amount left over after the division is complete.

Solving 230 Divided by 4

Let's break down the process of dividing 230 by 4 step-by-step:

1. Set up the problem: Write the problem as 4⟌230.

2. Divide the tens digit: How many times does 4 go into 2? It doesn't go in at all. So, we move to the next digit. How many times does 4 go into 23? It goes in 5 times (4 x 5 = 20). Write the 5 above the 3 in the dividend.

3. Multiply and subtract: Multiply the quotient digit (5) by the divisor (4): 5 x 4 = 20. Subtract this result from the relevant part of the dividend: 23 - 20 = 3.

4. Bring down the next digit: Bring down the 0 from the dividend, placing it next to the 3, making it 30.

5. Divide again: How many times does 4 go into 30? It goes in 7 times (4 x 7 = 28). Write the 7 above the 0 in the dividend.

6. Multiply and subtract (again): Multiply the quotient digit (7) by the divisor (4): 7 x 4 = 28. Subtract this result from 30: 30 - 28 = 2.

7. The remainder: The number 2 is the remainder. It's less than the divisor (4), indicating we're finished.

Therefore, 230 divided by 4 is 57 with a remainder of 2. This can also be expressed as 57 R 2 or 57 2/4 (which simplifies to 57 1/2).

Checking Your Work

It's always a good idea to check your answer. To do this, multiply the quotient by the divisor and add the remainder:

(57 x 4) + 2 = 228 + 2 = 230

This matches our original dividend, confirming our answer is correct.

Practicing Long Division

Mastering long division takes practice. Try these similar problems to build your skills:

• 156 divided by 6
• 385 divided by 5
• 423 divided by 7

By consistently working through problems and using the steps outlined above, you'll quickly become more confident in your ability to perform long division. Remember to always check your answer to ensure accuracy!