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V.1 Solve two-digit division word problems

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What is division?

Division is a way to separate a total into equal groups or to find out how many groups can be made. It is the opposite of multiplication.

Example:
  • 12 ÷ 3 = 4
  • This means 12 objects split into groups of 3 makes 4 groups.
Note

Think of division as “fair sharing” or “grouping” a total into equal parts.

How to identify division word problems

Division word problems often ask you to split a number into equal groups or to figure out how many groups can be made.

Clues in word problems:
  • “Share equally”
  • “Split into groups”
  • “How many in each group?”
  • “How many groups?”
Note

Look for words that show equal sharing or grouping. These are signals that you need to divide.

Steps to solve division word problems

To solve a division word problem, follow these steps:

Steps:
  • Read the problem carefully.
  • Decide what is being divided (the total).
  • Decide how many groups or how many in each group.
  • Write and solve the division equation.
Note

Check your answer by multiplying. If groups × number in each group = total, your answer is correct.

Examples of division word problems

Here are some examples of how to turn word problems into division equations and solve them.

Examples:
  • Problem: 18 apples are shared equally among 6 children. How many apples does each child get?
    Equation: 18 ÷ 6 = 3
    Answer: Each child gets 3 apples.
  • Problem: A teacher has 24 pencils. She puts 4 pencils in each box. How many boxes can she fill?
    Equation: 24 ÷ 4 = 6
    Answer: She can fill 6 boxes.
Note

Always connect the numbers in the problem to the question being asked. This helps you set up the correct equation.

Important things to remember

Division problems may not always divide evenly. Sometimes there will be a remainder left over.

Example with remainder:
  • Problem: 17 cookies are shared equally among 5 friends. How many cookies does each friend get?
    Equation: 17 ÷ 5 = 3 R2
    Answer: Each friend gets 3 cookies, with 2 cookies left over.
Note

When you see a remainder, think about what it means in the problem. Sometimes the remainder matters, and sometimes it does not.