Solve 4773 ÷ 6: Step-by-Step Guide

Hey guys! Today, we're going to break down how to solve the problem 4773 divided by 6. Don't worry, it's easier than it looks! We'll go through each step nice and slow, so you can follow along and get the hang of it. Whether you're tackling homework, helping your kids, or just brushing up on your math skills, this guide will help you master long division.

Understanding the Basics of Long Division

Before we jump into 4773 divided by 6, let's quickly recap what long division is all about. Long division is a method we use to divide large numbers into smaller, manageable parts. Think of it as breaking down a big problem into a series of smaller, simpler problems. This method helps us find out how many times one number (the divisor) fits into another number (the dividend). In our case, 4773 is the dividend, and 6 is the divisor. The result we get is called the quotient, and any leftover amount is called the remainder. Long division might seem intimidating at first, but once you understand the steps, it becomes a powerful tool for solving division problems. It's like learning to ride a bike – wobbly at first, but smooth sailing once you get the balance. So, let's get our balance right and dive into the steps!

Setting Up the Problem

Alright, first things first, we need to set up the problem correctly. This is super important because a neat setup makes the whole process way easier. We write the dividend (4773) inside the division bracket and the divisor (6) outside on the left. It looks a bit like a cozy little house for our number party, with 4773 chilling inside and 6 knocking at the door. Make sure you have enough space above the dividend to write the quotient. A tidy workspace is a tidy mind, right? This initial setup is crucial because it visually organizes the problem, making it clear which numbers we’re working with and where we’ll place our answers. So, grab your pencil and paper, set up the problem neatly, and you're already one step closer to solving it! Remember, a well-organized start is half the battle in long division, so let's make sure our house is in order before we invite the numbers in for the division party.

Dividing the First Digit

Now that we've got our setup sorted, let's start dividing! We look at the first digit of the dividend, which is 4. Can 6 fit into 4? Nope, because 4 is smaller than 6. So, we move on to the next digit and consider the first two digits together, which gives us 47. Now, we ask ourselves, how many times does 6 go into 47? Think about your multiplication facts – 6 times what gets us close to 47 without going over? If you think about it, 6 times 7 is 42, and 6 times 8 is 48, which is too big. So, 6 goes into 47 seven times. We write the 7 above the 7 in 4773, in the quotient's place. This is a crucial step, guys! We're finding the largest multiple of 6 that fits into the portion of the dividend we're currently working with. It's like fitting puzzle pieces together – we want the biggest piece that fits without any overhang. Getting this initial digit right is super important because it sets the stage for the rest of the division process. So, let’s take our time, think through those multiplication facts, and make sure we’ve got the right fit.

Multiplication and Subtraction

Great job! We've figured out that 6 goes into 47 seven times. Now comes the next step: multiplication. We multiply the 7 (which we wrote in the quotient) by the divisor (6). So, 7 times 6 is 42. We write this 42 directly below the 47 in our dividend. This step is all about figuring out exactly how much of our current section of the dividend we've accounted for. It's like subtracting the portion we've used up so we know what's left to work with. Next, we subtract 42 from 47. 47 minus 42 equals 5. We write the 5 below the 42. This subtraction tells us the remainder from this part of the division. It's the amount that's