Divide a 2-digit number by a 1-digit number using models

Division of a two-digit dividend, within 100, by a one-digit divisor is represented as equal groups or an array, with place-value models showing how tens and ones are partitioned and regrouped when necessary. The quotient indicates the number in each group or the number of groups, and any remainder is less than the divisor; this connects division to multiplication and place value without requiring the general long-division algorithm or decimal quotients.

Detailed Explanation: Divide a 2-digit number by a 1-digit number using models

To divide a two-digit number, make equal groups. The quotient tells how many are in each group.

Let’s solve:

52 \div 4

1. Build the dividend

Represent $(52)$ with base-ten blocks:

$5$ tens
$2$ ones

We need to make $4$ equal groups.

2. Share the tens

Share the $5$ tens equally among $4$ groups.

Each group gets $1$ ten:

4 \times 1\text{ ten}=4\text{ tens}

There is $1$ ten left over. Regroup that ten as $(10)$ ones.

Now there are:

10\text{ ones}+2\text{ ones}=12\text{ ones}

3. Share the ones

Share $(12)$ ones equally among $4$ groups.

Each group gets $3$ ones:

4 \times 3\text{ ones}=12\text{ ones}

So each group has:

$1$ ten
$3$ ones

That is $(13)$ .

Therefore,

52 \div 4=13

4. Check with multiplication

Multiply the number in each group by the number of groups:

13 \times 4=52

The answer is correct.

Learn by doing: Divide a 2-digit number by a 1-digit number using models

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Division Cards Model - Deck and Player Count to Hand Size - With Remainder (2 Digit)

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