Division Facts

Grade 3 · mathematics · 216 practice problems · read aloud

🔊 Listen to this explanation

🧮 Division Facts

What is Division?

Division is splitting a whole number into equal groups. It's the opposite of multiplication! We use it to share things fairly, like cookies with friends or books on shelves.

How to Solve a Division Problem

  1. Read the problem: What are you dividing? How many groups?
  2. Think of multiplication: Ask yourself, "What number times the divisor equals the dividend?"
  3. Write the answer: The answer is called the quotient.

Visual Examples

Example 1: 12 ÷ 3 = ?

Imagine you have 12 stickers and 3 friends. How many stickers does each friend get?

Think: 3 groups of what equals 12? 3 x 4 = 12

Answer: 4 ✅ Each friend gets 4 stickers.

Example 2: 20 ÷ 5 = ?

You have 20 marbles to put into 5 bags. How many marbles go in each bag?

Think: 5 groups of what equals 20? 5 x 4 = 20

Answer: 4 ✅ Each bag gets 4 marbles.

⚠️ Common Mistakes

  • Confusing Dividend and Divisor: Remember, you are dividing the dividend by the divisor. 15 ÷ 3 means "split 15 into 3 groups," not the other way around.
  • Not knowing multiplication facts: Division is much harder if you don't know your multiplication tables. Practice them together!

💡 Tips & Tricks

  • Think "Groups of": For 18 ÷ 6, ask "How many groups of 6 are in 18?"
  • Use Fact Families: If you know 7 x 8 = 56, then you also know 56 ÷ 8 = 7 and 56 ÷ 7 = 8.
  • Draw a Picture: Circles for groups and dots for items can make any problem visual and easy!

Practice Makes Perfect!

Here's how you can get better at division facts:

  • Flashcards: Make your own division flashcards and quiz yourself.
  • Real-World Practice: Help share snacks or set the table using division.
  • Online Games: Find fun math games that practice division facts.
  • Start with easy numbers: Practice dividing by 2, 5, and 10 first—they have great patterns!

Practice problems

6 of the 216, worked through step by step — try them before opening the answer.

1 0 ÷ 1 = ?

Hint: Think about 0 ÷ 1

Show the answer

Answer: 0

  1. Understand the division problem We have 0 ÷ 1, which means we're dividing 0 by 1.
  2. Recall what division means Division asks: "How many times does the divisor (1) fit into the dividend (0)?"
  3. Apply this to our numbers We're asking: "How many times does 1 go into 0?"
  4. Reason about the answer If I have 0 items and I want to divide them into 1 group, each group will get 0 items.
  5. Check with multiplication Division and multiplication are inverse operations. If 0 ÷ 1 = x, then x × 1 = 0. What number times 1 equals 0? Only 0.
  6. Consider the pattern Any number divided by 1 equals that same number: 5 ÷ 1 = 5, 3 ÷ 1 = 3, so 0 ÷ 1 = 0.
  7. Final answer Therefore, 0 ÷ 1 = 0

Step-by-step solution:

2 1 ÷ 1 = ?

Hint: Think about 1 ÷ 1

Show the answer

Answer: 1

  1. Understand the problem. We are asked to compute 1 divided by 1. Division is the process of determining how many times one number is contained within another.
  2. Write the problem as a division equation. 1 ÷ 1 = ?
  3. Interpret the division. We are dividing 1 into 1 equal part. The question is: "How many times does 1 fit into 1?"
  4. Visualize or reason. If you have 1 whole item and you split it into 1 group, that one group will contain the entire item. Therefore, the size of that one group is 1.
  5. Check using multiplication (the inverse operation). Division can be checked by multiplication. If 1 ÷ 1 = x, then x * 1 must equal 1. What number, when multiplied by 1, gives 1?
  6. State the final answer. Therefore, 1 ÷ 1 = 1.

The answer is 1, because 1 * 1 = 1.

3 2 ÷ 1 = ?

Hint: Think about 2 ÷ 1

Show the answer

Answer: 2

  1. Understand the problem. We are asked to divide 2 by 1. In division, we are finding out how many times the divisor (1) fits into the dividend (2).
  2. Set up the division. We can write this as 2 / 1.
  3. Perform the calculation. Think: "How many groups of 1 can I make from 2?" We can make exactly 2 groups of 1. This is because 1 + 1 = 2.
  4. State the result. Therefore, 2 divided by 1 equals 2. Final Answer: 2

4 3 ÷ 1 = ?

Hint: Think about 3 ÷ 1

Show the answer

Answer: 3

  1. Understand the problem. We are asked to divide 3 by 1. This means we need to find how many times the number 1 fits into the number 3.
  2. Recall the concept of division. Division is the process of splitting a number into equal parts. For example, 6 ÷ 2 = 3 means splitting 6 into 2 equal groups, with 3 in each group.
  3. Apply the concept to our problem. We are splitting the number 3 into 1 equal group. If we have one group containing all 3 items, then that one group contains 3 items.
  4. Perform the calculation. 3 ÷ 1 = 3
  5. Verify the answer using multiplication (the inverse operation). Division and multiplication are opposites. If 3 ÷ 1 = 3 is correct, then multiplying the answer (3) by the divisor (1) should give us the original number (3). Check: 3 (answer) × 1 (divisor) = 3 (original number). This confirms our answer is correct.
  6. State the final answer. Therefore, 3 divided by 1 equals 3.

5 4 ÷ 1 = ?

Hint: Think about 4 ÷ 1

Show the answer

Answer: 4

  1. Understand the problem. We are asked to divide 4 by 1. The division operation tells us how many times the divisor (1) fits into the dividend (4).
  2. Perform the division. We need to find how many groups of 1 we can make from 4. 1 fits into 4 exactly 4 times.
  3. Write the mathematical statement. 4 ÷ 1 = 4
  4. Verify the answer. We can check our work using multiplication, which is the inverse operation of division. If 4 ÷ 1 = 4, then 4 (the quotient) multiplied by 1 (the divisor) should equal 4 (the dividend). 4 x 1 = 4. This is correct. Therefore, the final answer is 4.

6 5 ÷ 1 = ?

Hint: Think about 5 ÷ 1

Show the answer

Answer: 5

  1. Understand the division problem We have 5 ÷ 1, which means we're dividing 5 into 1 equal part.
  2. Recall the definition of division Division asks: "How many times does the divisor (1) fit into the dividend (5)?"
  3. Apply the concept If we have 5 items and we divide them into 1 group, all 5 items will be in that single group.
  4. Check with multiplication (the inverse operation) Since division is the inverse of multiplication, we can verify: If 5 ÷ 1 = ?, then ? × 1 = 5 The only number that satisfies this is 5, because 5 × 1 = 5.
  5. State the division property Any number divided by 1 equals the number itself. This is a fundamental property of division.
  6. Final calculation 5 ÷ 1 = 5 Therefore,

Step-by-step solution: the correct answer is 5.

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