Montana Math MT.4.NBT.6
The Standard
Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, flexibly using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division, and illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
2026 Montana Mathematics Content Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students divide numbers up to 9,999 by a one-digit number and find any remainder. They use place value or multiplication to work out the answer. They show their thinking with an equation, array, or area model.
What Mastery Looks Like
- A student can split 1,375 into 1,200 + 160 + 12 + 3 to find 1,375 ÷ 4 = 343 remainder 3. They can label an area model and check that 4 × 343 + 3 = 1,375.
Common Misconceptions
- Students may divide each digit separately and lose track of regrouped hundreds or tens. They may leave a remainder as large as the divisor instead of making another group.
How to Assess It
- Exit ticket: Solve 1,375 ÷ 4. Draw an area model, write an equation to check your answer, and explain why your remainder makes sense.
Lesson moves
Ways to Teach It
Give pairs base-ten blocks for 137 and four paper plates; have them trade blocks to share equally and record the quotient and remainder.
Ask pairs: Why does 4 × 343 + 3 check 1,375 ÷ 4, and why must the remainder be less than 4?
Play quotient check: draw a number from 137, 248, 361, 475 and a divisor from 3, 4, 5; verify with divisor × quotient + remainder.
A library has 1,375 bookmarks for four classrooms; have students find each classroom's share and decide what to do with the leftovers.
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Printable MT.4.NBT.6 Worksheet
A ready-to-print activity worksheet aligned to MT.4.NBT.6, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- MT.3.OA.7
Flexibly, accurately, and efficiently multiply and divide within 100, using strategies such as the relationship between multiplication and division.
- MT.4.NBT.5
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- MT.5.NBT.6
Flexibly, accurately, and efficiently find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors using strategies based...
- MT.6.NS.1
Represent, interpret, and compute quotients of fractions and solve problems in context involving division of fractions by fractions.
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