Solve the Division: Calculate 56/7 Step by Step

Q: How do I remember which number goes where in division?

Think of fractions as "top divided by bottom". In $ \frac{56}{7} $, you're asking "How many 7s fit into 56?"

Q: What if I don't know the division fact by heart?

Use multiplication tables! Ask yourself: "What times 7 equals 56?" Go through 7×1=7, 7×2=14, 7×3=21... until you reach 7×8=56.

Q: Why does the explanation show 56:7 instead of 56÷7?

The colon (:) is just another way to write division! 56:7 means exactly the same as 56÷7. Both symbols mean "divide the first number by the second."

Q: When does a fraction equal a whole number?

A fraction equals a whole number when the numerator is evenly divisible by the denominator. Since 56 ÷ 7 has no remainder, $ \frac{56}{7} = 8 $.

Q: How can I check my division without a calculator?

Use multiplication to check division! If 56 ÷ 7 = 8, then 8 × 7 should equal 56. This reverse operation confirms your answer is correct.

Basic Division with Whole Number Quotients

Solve the following expression:

$\frac{56}{7}=$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve the following expression:

$\frac{56}{7}=$

Step-by-step solution

First we will divide the numerator and denominator by the highest number that both are divisible by.

In this case, the number is 7.

Then we will divide the fraction as follows:

$\frac{56:7}{7:7}=\frac{8}{1}=8$

Final Answer

$8$

Key Points to Remember

Essential concepts to master this topic

Division Rule: Divide numerator by denominator to find quotient
Technique: Calculate 56 ÷ 7 = 8 using multiplication facts
Check: Verify by multiplying: 8 × 7 = 56 ✓

Common Mistakes

Avoid these frequent errors

Confusing division direction
Don't divide 7 by 56 instead of 56 by 7 = 0.125! This flips the fraction upside down and gives the reciprocal. Always divide the numerator (top number) by the denominator (bottom number).

Practice Quiz

Test your knowledge with interactive questions

Choose the answer that describes in words the fraction shaded in pink:

FAQ

Everything you need to know about this question

How do I remember which number goes where in division?

Think of fractions as "top divided by bottom". In $\frac{56}{7}$ , you're asking "How many 7s fit into 56?"

What if I don't know the division fact by heart?

Use multiplication tables! Ask yourself: "What times 7 equals 56?" Go through 7×1=7, 7×2=14, 7×3=21... until you reach 7×8=56.

Why does the explanation show 56:7 instead of 56÷7?

The colon (:) is just another way to write division! 56:7 means exactly the same as 56÷7. Both symbols mean "divide the first number by the second."

When does a fraction equal a whole number?

A fraction equals a whole number when the numerator is evenly divisible by the denominator. Since 56 ÷ 7 has no remainder, $\frac{56}{7} = 8$ .

How can I check my division without a calculator?

Use multiplication to check division! If 56 ÷ 7 = 8, then 8 × 7 should equal 56. This reverse operation confirms your answer is correct.

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