Math / Numbers & Operations

QuestionComplete the short division to find $507.2 \div 8$

Studdy Solution

STEP 1

What is this asking? We need to divide a decimal number, 507.2, by a whole number, 8, using short division. Watch out! Keep the decimal point aligned throughout the division!

STEP 2

1. Set up the short division.
2. Divide the tens and hundreds.
3. Divide the units.
4. Divide the tenths.

STEP 3

We write our division problem like this: $8 \overline{)507.2}$ .
This sets us up perfectly to do our short division!

STEP 4

How many times does 8 go into 5?
Zero times!
8 is bigger than 5.
We carry over the 5 to the next digit.

STEP 5

Now we ask, how many times does 8 go into 50? $50 \div 8 = 6$ with a remainder of $50 - (8 \cdot 6) = 50 - 48 = 2$ .
We write the 6 above the zero in 507.2 and carry over the 2.

STEP 6

Now we have 8 going into 27. $27 \div 8 = 3$ with a remainder of $27 - (8 \cdot 3) = 27 - 24 = 3$ .
We write the 3 above the 7 in 507.2 and carry over the 3.

STEP 7

We bring down the 2 from the tenths place to make 32.
Don't forget to put the decimal point in the answer directly above where it is in 507.2.

STEP 8

Now, how many times does 8 go into 32? $32 \div 8 = 4$ with a remainder of $32 - (8 \cdot 4) = 32 - 32 = 0$ .
We write the 4 above the 2 in 507.2.

STEP 9

Our final answer is $\boxed{63.4}$ .

Was this helpful?

QuestionComplete the short division to find $507.2 \div 8$

Studdy Solution

STEP 1

What is this asking? We need to divide a decimal number, 507.2, by a whole number, 8, using short division. Watch out! Keep the decimal point aligned throughout the division!

STEP 2

1. Set up the short division.
2. Divide the tens and hundreds.
3. Divide the units.
4. Divide the tenths.

STEP 3

We write our division problem like this: $8 \overline{)507.2}$ .
This sets us up perfectly to do our short division!

STEP 4

How many times does 8 go into 5?
Zero times!
8 is bigger than 5.
We carry over the 5 to the next digit.

STEP 5

Now we ask, how many times does 8 go into 50? $50 \div 8 = 6$ with a remainder of $50 - (8 \cdot 6) = 50 - 48 = 2$ .
We write the 6 above the zero in 507.2 and carry over the 2.

STEP 6

Now we have 8 going into 27. $27 \div 8 = 3$ with a remainder of $27 - (8 \cdot 3) = 27 - 24 = 3$ .
We write the 3 above the 7 in 507.2 and carry over the 3.

STEP 7

We bring down the 2 from the tenths place to make 32.
Don't forget to put the decimal point in the answer directly above where it is in 507.2.

STEP 8

Now, how many times does 8 go into 32? $32 \div 8 = 4$ with a remainder of $32 - (8 \cdot 4) = 32 - 32 = 0$ .
We write the 4 above the 2 in 507.2.

STEP 9

Our final answer is $\boxed{63.4}$ .

Get Studdy

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.

QuestionComplete the short division to find 507.2÷8507.2 \div 8507.2÷8

Studdy Solution

STEP 1

What is this asking? We need to divide a decimal number, 507.2, by a whole number, 8, using short division. Watch out! Keep the decimal point aligned throughout the division!

STEP 2

1. Set up the short division.2. Divide the tens and hundreds.3. Divide the units.4. Divide the tenths.

STEP 3

We **write** our division problem like this: 8)507.2‾8 \overline{)507.2}8)507.2​.This sets us up perfectly to do our short division!

STEP 4

How many times does 8 go into 5?Zero times!8 is bigger than 5.We carry over the 5 to the next digit.

STEP 5

Now we ask, how many times does 8 go into **50**? 50÷8=650 \div 8 = 650÷8=6 with a remainder of 50−(8⋅6)=50−48=250 - (8 \cdot 6) = 50 - 48 = 250−(8⋅6)=50−48=2.We write the **6** above the zero in 507.2 and carry over the **2**.

STEP 6

Now we have 8 going into **27**. 27÷8=327 \div 8 = 327÷8=3 with a remainder of 27−(8⋅3)=27−24=327 - (8 \cdot 3) = 27 - 24 = 327−(8⋅3)=27−24=3.We write the **3** above the 7 in 507.2 and carry over the **3**.

STEP 7

We bring down the 2 from the tenths place to make **32**.Don't forget to put the decimal point in the answer directly above where it is in 507.2.

STEP 8

Now, how many times does 8 go into **32**? 32÷8=432 \div 8 = 432÷8=4 with a remainder of 32−(8⋅4)=32−32=032 - (8 \cdot 4) = 32 - 32 = 032−(8⋅4)=32−32=0.We write the **4** above the 2 in 507.2.

STEP 9

Our final answer is 63.4\boxed{63.4}63.4​.

Get Studdy

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.

QuestionComplete the short division to find $507.2 \div 8$

1. Set up the short division.
2. Divide the tens and hundreds.
3. Divide the units.
4. Divide the tenths.

We write our division problem like this: $8 \overline{)507.2}$ .
This sets us up perfectly to do our short division!

How many times does 8 go into 5?
Zero times!
8 is bigger than 5.
We carry over the 5 to the next digit.

Now we ask, how many times does 8 go into 50? $50 \div 8 = 6$ with a remainder of $50 - (8 \cdot 6) = 50 - 48 = 2$ .
We write the 6 above the zero in 507.2 and carry over the 2.

Now we have 8 going into 27. $27 \div 8 = 3$ with a remainder of $27 - (8 \cdot 3) = 27 - 24 = 3$ .
We write the 3 above the 7 in 507.2 and carry over the 3.

We bring down the 2 from the tenths place to make 32.
Don't forget to put the decimal point in the answer directly above where it is in 507.2.

Now, how many times does 8 go into 32? $32 \div 8 = 4$ with a remainder of $32 - (8 \cdot 4) = 32 - 32 = 0$ .
We write the 4 above the 2 in 507.2.

Our final answer is $\boxed{63.4}$ .