Maryland Math 4.NOS.B.6.b
The Standard
- 4.NOS.B.6
- Divide whole numbers with up to four-digit dividends and one-digit divisors with and without remainders.
Use strategies based on place value (e.g., partial quotients) to divide.
Maryland College and Career Ready Standards for Mathematics (2025) · USE PLACE VALUE UNDERSTANDING AND PROPERTIES OF OPERATIONS TO PERFORM MULTI-DIGIT ARITHMETIC.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students divide multi-digit numbers by working with hundreds, tens, and ones. They subtract easy multiples of the divisor, add the partial quotients, and check by multiplying.
What Mastery Looks Like
- A student can solve 156 ÷ 3 by subtracting 90, 60, and 6, then adding 30 + 20 + 2 to get 52. They can explain that 90 represents 30 groups of 3 and check that 52 × 3 = 156.
Common Misconceptions
- Some students add the amounts they subtracted instead of the group counts. Others treat 30 groups as 3 groups or stop while the amount left is still large enough to divide.
How to Assess It
- Exit ticket: Solve 144 ÷ 4 with partial quotients. Label what each amount you subtract represents, then check your answer by multiplying.
Lesson moves
Ways to Teach It
Give pairs base-ten blocks for 156 and three mats; have them trade blocks and share equally, recording tens and ones.
Ask, "Why can you share 15 tens before the 6 ones in 156 ÷ 3?" Have students explain with a sketch.
Give pairs 168 ÷ 4 and two minutes to find two different partial-quotient paths; have them check both with multiplication.
A school has 156 pencils for three classrooms; have students sketch equal shares and check their answer by multiplying.
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Printable 4.NOS.B.6.b Worksheet
A ready-to-print activity worksheet aligned to 4.NOS.B.6.b, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 4.NOS.B.5.b
Use strategies based on place value (e.g., partial products) to multiply.
- 5.NOS.B.7.c
Use strategies based on place value (e.g., partial products, partial quotients) to multiply and divide.
- 6.NOS.B.2.b
Use strategies (e.g., partial quotients, inverse relationship between multiplication and division) to divide.
- 2.NOS.C.9.b
Use strategies based on place value (counting on, partial sums, making tens, etc.) to add and subtract.
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