Vocabulary & Example

Review key terms and see the algorithm in action before moving on.

Key Vocabulary
Dividend
The number being divided
Divisor
The number you divide by
Quotient
The answer to a division problem
Remainder
What is left over after dividing
Worked Example — 432 ÷ 6
💡
The standard algorithm repeats four steps: Divide → Multiply → Subtract → Bring Down. Keep cycling until there are no digits left.
1
Divide
6 goes into 43 → 7 times
2
Multiply
7 × 6 = 42
3
Subtract
43 − 42 = 1
4
Bring Down
Bring 2 → 12
5
Divide Again
12 ÷ 6 = 2
✓ Quotient = 72

Vocabulary Matching

Drag each term from the word bank and drop it onto the correct definition.

Word Bank
dividend divisor quotient remainder
Definitions
The number being divided
The number you divide by
The answer to a division problem
What is left over after dividing

Algorithm Steps

Click each step in the correct order of the standard division algorithm.

Click steps above to build the sequence…

Find the Mistake

A student solved 1,248 ÷ 6. Examine their work and identify the error.

Student's Work
    28 ← missing digit!
6 ) 1248
   −12  
     48
    −48
      0

Answer written: 28
Correct answer: 208
What went wrong?

Solve It

Use the standard algorithm to find the exact quotient.

Word Problem

Apply division to a real-world scenario. Show your work below.

A photographer takes 1,764 photos during a school year and sorts them equally into 6 albums.
How many photos go in each album?

Your Work & Answer
💡
Write your division steps, then type the final quotient in your answer. Include the number 294 if correct.

Mastery Check

Two computation problems and one written explanation. Show what you know!

432 ÷ 6 = ?
2,520 ÷ 8 = ?

Explain in your own words: when does a 0 appear in the middle of a quotient?

🏆

Mastery Demonstrated!

Excellent work — you correctly solved both problems using the standard algorithm.