Dividing 8791 By 9 A Step By Step Solution

Hey guys! Let's dive into a fun math problem today. We're going to tackle division, specifically how to divide 8,791 by 9. Don't worry if long division seems intimidating – we'll break it down into super easy steps. By the end of this guide, you'll be a division whiz! So, grab your pencils and paper, and let's get started!

Understanding the Basics of Division

Before we jump into the problem, let's make sure we're all on the same page about what division actually means. Division, at its core, is about splitting a whole into equal parts. Think of it like sharing a pizza with your friends. If you have a pizza with 8 slices and 4 friends, you're dividing the pizza to figure out how many slices each person gets.

In mathematical terms, division helps us determine how many times one number (the divisor) fits into another number (the dividend). In our case, 8,791 is the dividend, and 9 is the divisor. We want to find out how many times 9 goes into 8,791. The answer we get is called the quotient, and if there's anything left over, that's the remainder.

Division is also closely related to multiplication. In fact, you can think of division as the reverse of multiplication. For instance, if 12 divided by 3 equals 4, that's because 4 multiplied by 3 equals 12. Understanding this connection can really help you check your division answers and make sure they're accurate.

Now, let's talk about the different parts of a division problem. The number being divided (8,791 in our case) is the dividend. The number we're dividing by (9 in our case) is the divisor. The answer we get (which we'll find out shortly) is the quotient. And sometimes, we have a little bit left over, which is called the remainder. Knowing these terms will help you follow along as we work through the problem.

So, why is it so important to master division? Well, division is a fundamental math skill that you'll use in tons of real-life situations. From splitting the bill at a restaurant to figuring out how many apples each person gets from a basket, division is everywhere. It's also a crucial building block for more advanced math concepts like fractions, decimals, and algebra. The better you understand division, the more confident you'll feel tackling all sorts of math problems.

Setting Up the Long Division Problem

Okay, now that we've got the basics down, let's set up our long division problem. This is a crucial step because a neatly organized problem will make the whole process much easier. Trust me, a little bit of setup can save you a lot of headaches later on!

First, we need to draw the long division symbol. It looks like a sideways L with a horizontal line extending from the top. It's kind of like a little house that will hold our numbers. This symbol helps us visually organize the problem and keep track of our steps.

Next, we'll place the dividend (8,791) inside the “house.” This is the number we're dividing up. Then, we'll put the divisor (9) outside the “house,” to the left of the division symbol. This is the number we're dividing by.

Make sure you write the numbers clearly and leave enough space between them. This will help you avoid making mistakes as you work through the problem. It's also a good idea to keep the digits in each number lined up in columns. This will make it easier to keep track of which place value you're working with.

Before we start dividing, let's take a quick look at the problem. We're asking ourselves, “How many times does 9 fit into 8,791?” It might seem like a big number, but don't worry! We'll break it down step by step.

The key to long division is to work through the problem digit by digit, starting from the left. We'll start by seeing how many times 9 goes into the first digit of the dividend, which is 8. If 9 doesn't go into 8, we'll move on to the first two digits, and so on. This methodical approach will help us keep everything organized and avoid making careless errors.

So, with our problem neatly set up and our strategy in mind, we're ready to start the actual division process. Let's move on to the next step and see how we can start breaking down this problem!

Step-by-Step Division Process

Alright, guys, let's get into the nitty-gritty of the division process. We're going to break down 8,791 divided by 9 step by step, so you can see exactly how it's done. Remember, the key is to take it one digit at a time and stay organized.

Step 1: Divide the first digit. Look at the first digit of the dividend, which is 8. Can 9 go into 8? Nope, because 9 is bigger than 8. So, we move on to the next digit.

Step 2: Divide the first two digits. Now, we consider the first two digits, 87. How many times does 9 go into 87? If you know your multiplication facts, you'll know that 9 times 9 is 81, which is close to 87. So, 9 goes into 87 nine times. Write the 9 above the 7 in the quotient (the answer area).

Step 3: Multiply and subtract. Now, multiply the divisor (9) by the digit we just wrote in the quotient (9). 9 times 9 is 81. Write 81 below the 87 and subtract. 87 minus 81 is 6.

Step 4: Bring down the next digit. Bring down the next digit from the dividend (which is 9) and write it next to the 6. Now we have 69.

Step 5: Repeat the process. How many times does 9 go into 69? 9 times 7 is 63, which is close to 69. So, 9 goes into 69 seven times. Write the 7 next to the 9 in the quotient. Multiply 9 by 7, which is 63. Write 63 below the 69 and subtract. 69 minus 63 is 6.

Step 6: Bring down the last digit. Bring down the last digit from the dividend (which is 1) and write it next to the 6. Now we have 61.

Step 7: Final division. How many times does 9 go into 61? 9 times 6 is 54, which is close to 61. So, 9 goes into 61 six times. Write the 6 next to the 7 in the quotient. Multiply 9 by 6, which is 54. Write 54 below the 61 and subtract. 61 minus 54 is 7.

Step 8: Determine the remainder. We have a remainder of 7 because 9 can't go into 7. This means we've reached the end of our division process.

See? It might seem like a lot of steps, but once you get the hang of it, it becomes much smoother. The key is to be methodical and careful with each step. Now, let's see how we can write our final answer.

Expressing the Quotient and Remainder

Okay, we've done the hard work of dividing 8,791 by 9. We've followed all the steps, and now it's time to write down our final answer. This is super important because we want to clearly communicate what we've found.

So, what did we get when we divided 8,791 by 9? If you followed along, you should have a quotient of 976 and a remainder of 7. Remember, the quotient is the number of times the divisor (9) goes into the dividend (8,791) completely. And the remainder is the amount left over that doesn't divide evenly.

There are a couple of ways we can write this answer. The most common way is to write it as: 976 R 7. This simply means that 9 goes into 8,791 976 times, with 7 left over. The