Divide 4625 By 15: Step-by-Step Guide

Aug 4, 2025 by Rajiv Sharma 38 views

Dividing 4625 by 15: A Step-by-Step Guide

Hey guys! Ever found yourself staring at a division problem that looks a bit intimidating? Don't worry, we've all been there. Today, we're going to break down how to divide 4625 by 15 into super easy-to-follow steps. No more math anxiety – let's get started!

Understanding the Basics of Division

Before we jump into the specifics of 4625 ÷ 15, let's quickly refresh our understanding of division. Division is simply splitting a number into equal groups. When we divide, we have three main parts:

Dividend: The number being divided (in our case, 4625).
Divisor: The number we are dividing by (in our case, 15).
Quotient: The result of the division – how many times the divisor goes into the dividend.

Think of it like this: if you have 4625 candies and want to share them equally among 15 friends, division helps you figure out how many candies each friend gets (the quotient).

Now that we have the basics down, let's dive into the step-by-step process of dividing 4625 by 15. Remember, the key to mastering division is practice and patience. So, grab your pencil and paper, and let's get to it!

Step 1: Setting Up the Problem

The first thing we need to do is set up our division problem in the long division format. This helps us visualize the process and keep track of our calculations. Here’s how it looks:

      ________
15 | 4625

We write the divisor (15) outside the division bracket and the dividend (4625) inside the bracket. This setup is crucial because it organizes our work and makes each step clearer. Think of it as setting the stage for a math performance – everything needs to be in its place!

Step 2: Dividing the First Digits

Now, let's start dividing! We begin by looking at the first digit of the dividend (4). Can 15 go into 4? Nope, it can't because 4 is smaller than 15. So, we move on to the first two digits of the dividend, which are 46.

Ask yourself: How many times does 15 go into 46? Well, 15 x 3 = 45, which is close to 46 without going over. So, we write 3 above the 6 in the quotient.

      3_____
15 | 4625

This step is all about finding the largest multiple of the divisor that is less than or equal to the part of the dividend we are currently looking at. It's like fitting puzzle pieces together – you want the largest piece that fits without overlapping. Remember, accurate estimation is key here, and it comes with practice.

Step 3: Multiplying and Subtracting

Next, we multiply the quotient digit we just wrote (3) by the divisor (15). So, 3 x 15 = 45. Write 45 below the 46.

      3_____
15 | 4625
     45

Now, subtract 45 from 46. 46 - 45 = 1. Write the result (1) below the 45.

This step involves basic multiplication and subtraction, which are fundamental operations in division. Make sure to align the numbers correctly to avoid errors. Double-checking your calculations at this stage can save you from bigger problems later on.

Step 4: Bringing Down the Next Digit

Now, we bring down the next digit from the dividend (2) and write it next to the remainder (1). This forms the new number 12.

Bringing down the next digit is like adding a new piece to our puzzle. It extends the number we are working with and allows us to continue the division process. Make sure you bring down only one digit at a time, and keep your work organized.

Step 5: Repeating the Process

Now, we repeat the process. How many times does 15 go into 12? Well, 15 is larger than 12, so it doesn't go in at all. We write 0 in the quotient above the 2.

Even though 15 doesn't go into 12, it's crucial to write the 0 in the quotient. This holds the place value and ensures we get the correct final answer. Skipping this step can lead to significant errors. Remember, every digit in the quotient matters!

Now, bring down the next digit (5) and write it next to 12, forming the number 125.

Step 6: Final Division and Remainder

How many times does 15 go into 125? Let's think... 15 x 8 = 120, which is close to 125. So, we write 8 in the quotient above the 5.

Multiply 8 by 15: 8 x 15 = 120. Write 120 below 125.

Subtract 120 from 125: 125 - 120 = 5. Write the result (5) below the 120.

Since there are no more digits to bring down, the remainder is 5. This means that when we divide 4625 by 15, we get a quotient of 308 with a remainder of 5.

Step 7: Expressing the Result

So, 4625 ÷ 15 = 308 with a remainder of 5. We can also express this as a mixed number or a decimal.

As a mixed number, it's 308 5/15, which can be simplified to 308 1/3.

To express it as a decimal, we can continue the division by adding a decimal point and zeros to the dividend. However, for this guide, we’ll stick to the remainder form.

Conclusion

And there you have it! We've successfully divided 4625 by 15 step by step. It might seem like a lot of steps, but once you get the hang of it, it becomes much easier. Remember, practice makes perfect. The more you practice, the more confident you'll become in tackling division problems.

So, the next time you encounter a division problem, don't sweat it. Just break it down into these simple steps, and you'll be dividing like a pro in no time. Keep practicing, and happy dividing!

Practice Problems

To solidify your understanding, try these practice problems:

3456 ÷ 12
9876 ÷ 25
1234 ÷ 10

Work through these problems using the steps we discussed, and you'll be well on your way to mastering long division.