Divide larger numbers: word problems

key notes:

🔢 Understand the Problem First

Read the problem carefully.

Identify what is given (total amount) and what you need to find (how many in each group or how many groups).

Look for keywords:

• shared equally 🤝 → division
• each 👫 → division per group
• left over 🍎 → division with remainder

✏️ Identify the Numbers

Write down the dividend (the big number to be divided)

Write down the divisor (the number you are dividing by)

Example: “There are 324 candies 🍬 shared among 12 children 🧒” → 324 ÷ 12

🧮 Use Long Division

Divide the larger number step by step.

Remember:

• Divide
• Multiply
• Subtract

Bring down the next digit

Repeat until all digits are used.

📊 Check for Remainders

If there’s a remainder, think:

Does the problem allow fractions/decimals?

Or should you round down?

• Example: 25 ÷ 4 = 6 remainder 1 (6 each, 1 left over)

📝 Write the Answer in a Sentence

Always answer in words as per the question.

Example: “Each child gets 27 candies 🍬.”

💡 Tips for Word Problems

Draw a picture or chart if confused 🖍️

Highlight numbers and keywords 🔍

Estimate first to see if your answer is reasonable ✔️

Practice with real-life examples: sharing toys 🧸, distributing chocolates 🍫, dividing money 💰

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🏆 Fun Example:

“There are 456 pencils ✏️. 8 students share them equally. How many pencils does each student get?”

• Step 1: Dividend = 456, Divisor = 8
• Step 2: 456 ÷ 8 = 57
• ✅ Answer: Each student gets 57 pencils

Learn with an example