Multi-Digit Division

Long Division Steps: Divide, Multiply, Subtract, Bring Down

Remember: Does McDonald's Sell Burgers?

Example: $1,365 \div 5$

1. Divide: $13 \div 5 = 2$ (write 2 above)
2. Multiply: $2 \times 5 = 10$
3. Subtract: $13 - 10 = 3$
4. Bring down: Bring down the 6 → 36
5. Repeat: $36 \div 5 = 7$, $7 \times 5 = 35$, $36 - 35 = 1$
6. Bring down 5 → 15: $15 \div 5 = 3$

Answer: $1,365 \div 5 = 273$ ✅

Division with Remainders

$247 \div 6 = 41$ R $1$

Check: $41 \times 6 + 1 = 246 + 1 = 247$ ✓

Interpreting Remainders

The remainder's meaning depends on context:

• Drop it: "How many full boxes?" → Use quotient only
• Round up: "How many buses needed?" → Add 1 to quotient
• Use as fraction: "Share equally" → $41\frac{1}{6}$

Dividing by Two-Digit Numbers

Example: $7,344 \div 24$

Estimate: $7,200 \div 24 = 300$

Use long division to get exact answer: $7,344 \div 24 = 306$

Checking Division

Always check: $\text{quotient} \times \text{divisor} + \text{remainder} = \text{dividend}$

Estimation tip: Round the divisor to the nearest ten to estimate each step of long division.