CCSS.MATH.5.NF.B.4 / TEKS 5.3.I.5✓ NSW Education Standards Authority (NESA) AlignedAcademic Year 2026–27
Long Division & Remainders
Master the division algorithm: Divide, Multiply, Subtract, Bring Down, and interpret remainders.
Why It Matters:Crucial for packaging allocations, equal asset division, and computing unit rates.
Curated Video Instruction
● Verified Active EmbedSTEP-BY-STEP PROOF
Worked Example
Divide 584 by 4 using long division:
1
Divide hundreds
5 / 4 = 1 (remainder 1)
4 goes into 5 once with 1 left over.
2
Bring down tens and divide
18 / 4 = 4 (remainder 2)
4 goes into 18 four times (16), remainder 2.
3
Bring down ones and divide
24 / 4 = 6 (remainder 0)
Quotient is 146 with remainder 0.
✓Verification Check
Verify by multiplication: 146 * 4.
146 * 4 = 584
•
584 = 584
⚠️ Common Pitfalls & Misconceptions
Stopping before bringing down all digits
✗ Leaving 584 / 4 as 14 remainder 24✓ Continue until every single place value has been brought down and divided
Every column must be resolved.
INTERACTIVE DRILLS
Guided Practice
Practice Question1 of 1
Step-by-step Feedback
What is 728 divided by 7?
MASTERY BENCHMARK
Official Assessment Quiz
Formal Assessment
Long Division & Remainders
Passing Criteria:70% or higher
Question 1 of 1
If 25 items are shared equally among 4 students, what is the remainder?
Education to Career Navigation
Where This Lesson Leads
Supply Chain Analysts and Warehouse Supervisors calculate packaging batches daily.