Mathematics
Grade 5
15 min
Divide larger numbers
Divide larger numbers
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Divide a 3-digit dividend by a 2-digit divisor using the standard algorithm.
Divide a 4-digit dividend by a 2-digit divisor using the standard algorithm.
Interpret the meaning of a remainder in the context of a word problem.
Use estimation and multiplication to check the reasonableness of their quotients.
Solve multi-step word problems that require dividing larger numbers.
Correctly place digits, including zeros, in the quotient.
A video game has 1,350 bonus points to share equally among its top 25 players. How many points does each player get? 🤔 Let's find out!
In this tutorial, you will master the standard algorithm for long division, a powerful tool for breaking down big numbers. Learning this skill will help you solve complex problems quickly a...
2
Key Concepts & Vocabulary
TermDefinitionExample
DividendThe number that is being divided. It's the total amount you start with.In 450 ÷ 15, the dividend is 450.
DivisorThe number that you are dividing by. It's the number of equal groups you are making.In 450 ÷ 15, the divisor is 15.
QuotientThe answer to a division problem. It tells you how many are in each group.In 450 ÷ 15 = 30, the quotient is 30.
RemainderThe amount left over after the division is complete because the dividend could not be divided perfectly by the divisor.In 10 ÷ 3, the quotient is 3 and the remainder is 1.
Standard AlgorithmThe step-by-step method used to solve complex division problems, often called long division.Using the 'Divide, Multiply, Subtract, Bring Down' steps to solve 861 ÷ 21.
EstimationUsing compatible or roun...
3
Core Formulas
The Steps of Long Division (DMSB)
1. Divide -> 2. Multiply -> 3. Subtract -> 4. Bring Down
This is a cycle of steps you repeat for each digit in the dividend. A helpful mnemonic is 'Does McDonald's Sell Burgers?' to remember the order: Divide, Multiply, Subtract, Bring Down.
Checking Your Work Formula
(Quotient \times Divisor) + Remainder = Dividend
After you finish a division problem, you can use this formula to check if your answer is correct. Multiply your quotient by the divisor and then add the remainder. The result should be your original dividend.
4 more steps in this tutorial
Sign up free to access the complete tutorial with worked examples and practice.
Sign Up Free to ContinueSample Practice Questions
Challenging
A school needs to provide a pencil to each of its 560 students. Pencils are sold in boxes of 25. Each box costs $4. What is the total cost to buy enough pencils for every student?
A.$88
B.$92
C.$89.60
D.$23
Challenging
A number, 1,475, is divided by an unknown number. The result is a quotient of 42 and a remainder of 5. What is the unknown number (the divisor)?
A.35
B.30
C.42
D.40
Challenging
A worker is packing 870 cookies into bags that hold 30 cookies each. The worker reports that they have filled 28 bags and have 30 cookies left over. Why is this report incorrect?
A.The number of leftover cookies is too small.
B.The remainder must be less than the divisor.
C.The quotient is too large.
D.The calculation (28 x 30) + 30 does not equal 870.
Want to practice and check your answers?
Sign up to access all questions with instant feedback, explanations, and progress tracking.
Start Practicing Free