Dividing by 1-Digit Numbers

Free sample questions, a clear explanation, and 5 practice skills with an AI tutor that guides without giving the answer away.

Concept Review

Dividing by 1-Digit Numbers: The Great Sharing Machine

Imagine you have 84 stickers and want to share them equally among 4 friends. How many stickers does each friend get? This is where division becomes your sharing superpower.

Division is like having a perfect sharing machine. When we divide a 2-digit number by a 1-digit number, we're asking: "How many equal groups can we make?" The answer tells us how much each group gets, with sometimes a little left over.

Breaking Down the Big Numbers

Let's solve that sticker problem: 84 ÷ 4. We can think of 84 as 8 tens and 4 ones.

First, we share the tens: 8 tens ÷ 4 = 2 tens for each friend. Then we share the ones: 4 ones ÷ 4 = 1 one for each friend. So each friend gets 2 tens + 1 one = 21 stickers!

The "Friendly Numbers" Secret

Here's something amazing: some 2-digit numbers divide perfectly, while others leave remainders.

✓63 ÷ 7 = 9 exactly (no remainder)
✓65 ÷ 7 = 9 remainder 2

The remainder tells us what's "left over" after fair sharing!

The Step-by-Step Method

Let's try 96 ÷ 3:

3 ) 96

-9↓ ← 9 tens ÷ 3 = 3 tens

—

06 ← bring down the 6

-6 ← 6 ones ÷ 3 = 2 ones

—

0 ← no remainder!

We can also think about it using multiplication families. Since we know 3 × 32 = 96, we also know 96 ÷ 3 = 32. Division and multiplication are like opposite twins!

🔑 Key Insight

Every division problem is really asking: "What number, when multiplied by my divisor, gives me my dividend?" So 84 ÷ 4 is asking "4 times what equals 84?" The answer: 21.

Key Takeaway: Just like sharing stickers fairly among friends, dividing 2-digit numbers by 1-digit numbers is all about creating equal groups. Whether you get a perfect split or have some left over, division helps us solve real problems every day — from sharing pizza slices to organizing sports teams!

Sample questions

1. Solve: 72 ÷ 3

○ 21

○ 32

✓ 24

○ 14

Answer: 24 — 3 goes into 7 two times (6). Remainder 1. 3 goes into 12 four times. Result: 24.

2. What is 95 ÷ 5?

○ 15

○ 20

○ 25

✓ 19

Answer: 19 — 5 goes into 9 once (5). Remainder 4. 5 goes into 45 nine times. Result: 19.

3. Calculate 48 ÷ 4.

✓ 12

○ 10

○ 11

○ 14

Answer: 12 — 4 goes into 4 once and 8 twice. No remainders!

Skills in this topic

Divide 2-digit numbers by 1-digit numbers
Divide 3-digit numbers by 1-digit numbers
Divide 4-digit numbers by 1-digit numbers
Divide larger numbers involving zeros in the quotient
Check division answers using multiplication

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