CCSS.MATH.4.NBT.B.6✓ California Department of Education (CDE) AlignedAcademic Year 2026–27
Whole Number Division with Remainders
Illustrate division using area models, repeated subtraction, and standard long division notation with remainders.
Why It Matters:Essential for dividing quantities into batches, packaging goods, and distributing team resources.
Curated Video Instruction
● Verified Active EmbedSTEP-BY-STEP PROOF
Worked Example
Divide 487 by 5 and interpret the quotient and remainder:
1
Divide hundreds and tens
48 / 5 = 9 tens (9 * 5 = 45); 48 - 45 = 3 remainder tens
5 goes into 48 nine times with 3 tens remaining.
2
Bring down ones digit
Combine 3 tens with 7 ones = 37
Form the next dividend chunk 37.
3
Divide ones and determine remainder
37 / 5 = 7 ones (7 * 5 = 35); 37 - 35 = 2 remainder
Quotient is 97 with a remainder of 2 (97 R 2).
✓Verification Check
Multiply quotient by divisor and add remainder: (97 * 5) + 2 = 485 + 2 = 487.
(97 * 5) + 2 = 487
•
487 = 487 (Verified)
⚠️ Common Pitfalls & Misconceptions
Remainder larger than or equal to the divisor
✗ Writing 487 / 5 as 96 R 7✓ The remainder must ALWAYS be strictly less than the divisor (< 5)
If the remainder is 5 or greater, another whole group can be formed.
INTERACTIVE DRILLS
Guided Practice
Practice Question1 of 1
Step-by-step Feedback
What is 358 divided by 4?
MASTERY BENCHMARK
Official Assessment Quiz
Formal Assessment
Whole Number Division with Remainders
Passing Criteria:70% or higher
Question 1 of 1
If 73 eggs are packed into cartons of 6, how many cartons are filled and how many eggs remain?
Education to Career Navigation
Where This Lesson Leads
Inventory Managers and Packaging Engineers calculate batch run outputs and leftovers.