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Long Division

Divide, multiply, subtract, bring down — repeat. Master this loop and you'll be ready for Grade 6's standard algorithm.

Bridge to Grade 6 Unit R1 · Lesson 4 Builds 6.NS.2
Lesson progress: 0%
Why this matters for Grade 6: Standard 6.NS.2 explicitly requires fluency with the standard long-division algorithm for multi-digit whole numbers. Every time you simplify fractions, convert a fraction to a decimal, or find a unit rate in Grade 6, division is under the hood.
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Learn It

The Long Division Loop

Long division follows a four-step loop: Divide → Multiply → Subtract → Bring down. Repeat until there are no more digits to bring down.

Example 1: 936 ÷ 4
234 ┌──────── 4 │ 9 3 6 8 ← 4×2=8 ─ 1 3 1 2 ← 4×3=12 ─ 1 6 1 6 ← 4×4=16 ─ 0
Answer: 234   Check: 234 × 4 = 936 ✓
Example 2: 847 ÷ 7
121 ┌──────── 7 │ 8 4 7 7 ← 7×1=7 ─ 1 4 1 4 ← 7×2=14 ─ 0 7 0 7 ← 7×1=7 ─ 0
Answer: 121   Check: 121 × 7 = 847 ✓

Remainders: When the dividend doesn't divide evenly, there is a remainder — a leftover amount less than the divisor.

Example 3: 100 ÷ 6
16 ┌──────── 6 │ 1 0 0 0 ← 6×1=6... wait: 10÷6=1 6 ─ 4 0 3 6 ← 6×6=36 ─ 4
Answer: 16 remainder 4, written 16 R4
Check: 16 × 6 = 96, then 96 + 4 = 100 ✓
In context: If you share 100 stickers among 6 friends, each gets 16 stickers and 4 are left over.
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Try It · Guided

Work These Together

1. Compute: 936 ÷ 4

Hint

9÷4=2 remainder 1 → bring down 3 → 13÷4=3 remainder 1 → bring down 6 → 16÷4=4. Answer: 234.

2. What is the remainder when you divide 85 ÷ 6?

Hint

6 × 14 = 84. 85 − 84 = 1. Remainder is 1.

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Practice · On Your Own

You Try

3. Compute: 847 ÷ 7

Hint

8÷7=1 R1 → bring down 4 → 14÷7=2 R0 → bring down 7 → 7÷7=1. Answer: 121.

4. Compute: 675 ÷ 5

Hint

6÷5=1 R1 → bring down 7 → 17÷5=3 R2 → bring down 5 → 25÷5=5. Answer: 135. Check: 135×5=675 ✓

5. A teacher has 98 crayons to share equally among 8 tables. How many crayons does each table get, and how many are left over?
Type the number each table gets (not the remainder).

Hint

98 ÷ 8: 8×12=96. 98−96=2. Each table gets 12 crayons; 2 crayons are left over.

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Exit Ticket

Show What You Know

6. Compute: 756 ÷ 4

Hint

7÷4=1 R3 → bring down 5 → 35÷4=8 R3 → bring down 6 → 36÷4=9. Answer: 189. Check: 189×4=756 ✓

7. 100 ÷ 6 = 16 R?  What is the remainder?

Hint

6 × 16 = 96. 100 − 96 = 4. The remainder is 4.

← Lesson 3: Multiply Next: Order of Operations →

Neft Teacher · Bridge to Grade 6 · Unit R1 · Lesson 4 ·