Math / Numbers & Operations

Question $318 \div 7$

Studdy Solution

STEP 1

What is this asking? How many times does 7 go into 318?
It's like splitting a group of 318 candies evenly among 7 friends! Watch out! Don't rush!
It's easy to misplace digits during long division, so take your time and double-check each step.

STEP 2

1. Set up the long division.
2. Divide the hundreds.
3. Divide the tens.
4. Divide the ones.

STEP 3

We're going to write our problem like this: $318 \div 7$ .
This is the same as $\frac{318}{7}$ .
We'll use long division to solve it!

STEP 4

How many times does 7 go into 3?
It doesn't!
So, we look at the first two digits: 31.
How many times does 7 go into 31?
Let's see... $7 \cdot 4 = 28$ .
That's the closest we can get without going over.
So we write 4 above the 1 in 318.

STEP 5

Now, we multiply our 4 by 7 to get 28, and write that below the 31.
Then we subtract: $31 - 28 = 3$ .

STEP 6

Bring down the next digit, which is 8, next to our 3.
Now we have 38.

STEP 7

How many times does 7 go into 38? $7 \cdot 5 = 35$ , and that's as close as we can get without going over.
Write the 5 above the 8 in 318.

STEP 8

Multiply our 5 by 7 to get 35, and write it below the 38.
Subtract: $38 - 35 = 3$ .

STEP 9

We have 3 left over.
This is our remainder.
Since there are no more digits to bring down, we're done with the division.
We can write our answer as 45 with a remainder of 3, or as $45 \frac{3}{7}$ .

STEP 10

$318 \div 7 = 45$ with a remainder of $3$ , or $45 \frac{3}{7}$ .
So, if we split 318 candies among 7 friends, each friend gets 45 candies, and there are 3 left over!

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Question $318 \div 7$

Studdy Solution

STEP 1

What is this asking? How many times does 7 go into 318?
It's like splitting a group of 318 candies evenly among 7 friends! Watch out! Don't rush!
It's easy to misplace digits during long division, so take your time and double-check each step.

STEP 2

1. Set up the long division.
2. Divide the hundreds.
3. Divide the tens.
4. Divide the ones.

STEP 3

We're going to write our problem like this: $318 \div 7$ .
This is the same as $\frac{318}{7}$ .
We'll use long division to solve it!

STEP 4

How many times does 7 go into 3?
It doesn't!
So, we look at the first two digits: 31.
How many times does 7 go into 31?
Let's see... $7 \cdot 4 = 28$ .
That's the closest we can get without going over.
So we write 4 above the 1 in 318.

STEP 5

Now, we multiply our 4 by 7 to get 28, and write that below the 31.
Then we subtract: $31 - 28 = 3$ .

STEP 6

Bring down the next digit, which is 8, next to our 3.
Now we have 38.

STEP 7

How many times does 7 go into 38? $7 \cdot 5 = 35$ , and that's as close as we can get without going over.
Write the 5 above the 8 in 318.

STEP 8

Multiply our 5 by 7 to get 35, and write it below the 38.
Subtract: $38 - 35 = 3$ .

STEP 9

We have 3 left over.
This is our remainder.
Since there are no more digits to bring down, we're done with the division.
We can write our answer as 45 with a remainder of 3, or as $45 \frac{3}{7}$ .

STEP 10

$318 \div 7 = 45$ with a remainder of $3$ , or $45 \frac{3}{7}$ .
So, if we split 318 candies among 7 friends, each friend gets 45 candies, and there are 3 left over!

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Question318÷7318 \div 7318÷7

Studdy Solution

STEP 1

What is this asking? How many times does 7 go into 318?It's like splitting a group of **318** candies evenly among **7** friends! Watch out! Don't rush!It's easy to misplace digits during long division, so take your time and double-check each step.

STEP 2

1. Set up the long division.2. Divide the hundreds.3. Divide the tens.4. Divide the ones.

STEP 3

We're going to write our problem like this: 318÷7318 \div 7318÷7.This is the same as 3187\frac{318}{7}7318​.We'll use long division to solve it!

STEP 4

How many times does 7 go into 3?It doesn't!So, we look at the first two digits: 31.How many times does 7 go into **31**?Let's see... 7⋅4=287 \cdot 4 = 287⋅4=28.That's the closest we can get without going over.So we write **4** above the 1 in 318.

STEP 5

Now, we multiply our **4** by **7** to get **28**, and write that below the **31**.Then we subtract: 31−28=331 - 28 = 331−28=3.

STEP 6

Bring down the next digit, which is **8**, next to our **3**.Now we have **38**.

STEP 7

How many times does 7 go into **38**? 7⋅5=357 \cdot 5 = 357⋅5=35, and that's as close as we can get without going over.Write the **5** above the 8 in 318.

STEP 8

Multiply our **5** by **7** to get **35**, and write it below the **38**.Subtract: 38−35=338 - 35 = 338−35=3.

STEP 9

We have **3** left over.This is our remainder.Since there are no more digits to bring down, we're done with the division.We can write our answer as **45** with a remainder of **3**, or as 453745 \frac{3}{7}4573​.

STEP 10

318÷7=45318 \div 7 = 45318÷7=45 with a remainder of 333, or 453745 \frac{3}{7}4573​.So, if we split 318 candies among 7 friends, each friend gets 45 candies, and there are 3 left over!

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Question $318 \div 7$

What is this asking? How many times does 7 go into 318?
It's like splitting a group of 318 candies evenly among 7 friends! Watch out! Don't rush!
It's easy to misplace digits during long division, so take your time and double-check each step.

1. Set up the long division.
2. Divide the hundreds.
3. Divide the tens.
4. Divide the ones.

We're going to write our problem like this: $318 \div 7$ .
This is the same as $\frac{318}{7}$ .
We'll use long division to solve it!

How many times does 7 go into 3?
It doesn't!
So, we look at the first two digits: 31.
How many times does 7 go into 31?
Let's see... $7 \cdot 4 = 28$ .
That's the closest we can get without going over.
So we write 4 above the 1 in 318.

Now, we multiply our 4 by 7 to get 28, and write that below the 31.
Then we subtract: $31 - 28 = 3$ .

Bring down the next digit, which is 8, next to our 3.
Now we have 38.

How many times does 7 go into 38? $7 \cdot 5 = 35$ , and that's as close as we can get without going over.
Write the 5 above the 8 in 318.

Multiply our 5 by 7 to get 35, and write it below the 38.
Subtract: $38 - 35 = 3$ .

We have 3 left over.
This is our remainder.
Since there are no more digits to bring down, we're done with the division.
We can write our answer as 45 with a remainder of 3, or as $45 \frac{3}{7}$ .

$318 \div 7 = 45$ with a remainder of $3$ , or $45 \frac{3}{7}$ .
So, if we split 318 candies among 7 friends, each friend gets 45 candies, and there are 3 left over!