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Solve equal-grouping division problems

The learner interprets equal-grouping situations as finding how many groups of a known size can be made from a known total, representing the relationship with division, repeated subtraction, an array, or a related multiplication equation. They determine and interpret whole-number quotients within 100, recognizing that a remainder represents items left after forming all possible equal groups rather than an additional complete group. The scope excludes fractions, decimals, and multi-digit division procedures.

Detailed Explanation: Solve equal-grouping division problems

Equal-grouping division asks:

How many groups of the same size can we make?

The total is the number of items you have. The group size tells how many items go in each group.

Example

Mia has 23 stickers. She puts 5 stickers in each group. How many groups can she make, and how many stickers are left?

Step 1: Write a division equation

We are finding how many groups of 5 can be made from 23:

23÷523 \div 5

Step 2: Make equal groups

Take away 5 stickers at a time:

23−5=1823-5=18 18−5=1318-5=13 13−5=813-5=8 8−5=38-5=3

We made 4 groups of 5. There are 3 stickers left.

Step 3: Check with multiplication

Four groups of 5 use 20 stickers:

4×5=204 \times 5=20

Then add the 3 stickers left:

20+3=2320+3=23

So,

23÷5=4 remainder 323 \div 5=4\text{ remainder }3

Answer

Mia can make 4 equal groups, with 3 stickers left over.

The 3 leftover stickers do not make another complete group of 5.

Learn by doing: Solve equal-grouping division problems

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Division Car Model - Total and Per Car to Car Count - No Remainder (2 Digit)


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