Mathematics
Grade 5
15 min
Divide larger numbers by 2-digit numbers
Divide larger numbers by 2-digit numbers
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1
Introduction & Learning Objectives
Learning Objectives
Identify the dividend, divisor, quotient, and remainder in a division problem.
Estimate quotients when dividing larger numbers by 2-digit numbers.
Accurately perform long division with 2-digit divisors.
Interpret the meaning of a remainder in real-world division problems.
Check their division answers using multiplication and addition.
Solve multi-step word problems involving division by 2-digit numbers.
Imagine you have 750 delicious cookies ๐ช and want to pack them into boxes that each hold 25 cookies. How many boxes do you need?
In this lesson, you'll learn a powerful method called long division to divide large numbers by 2-digit numbers. This skill is super useful for sharing things fairly, organizing items, and solving many everyday math challen...
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Key Concepts & Vocabulary
TermDefinitionExample
DividendThe number that is being divided or split into equal parts.In the problem 864 รท 24, 864 is the dividend.
DivisorThe number by which the dividend is divided; it tells you how many equal parts to make or the size of each part.In the problem 864 รท 24, 24 is the divisor.
QuotientThe result of a division problem; it tells you how many times the divisor fits into the dividend.In 864 รท 24 = 36, 36 is the quotient.
RemainderThe amount left over after dividing when the dividend cannot be divided exactly by the divisor.If you divide 75 by 20, the quotient is 3 with a remainder of 15 (75 = 20 ร 3 + 15).
Long DivisionA step-by-step method used to divide larger numbers, especially when the division cannot be done easily in your head.The process of systematically dividing...
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Core Formulas
Division Algorithm (Checking Your Work)
$Dividend = (Divisor \times Quotient) + Remainder$
This rule is essential for checking if your division calculation is correct. After finding your quotient and remainder, multiply the divisor by the quotient, then add the remainder. If the result equals your original dividend, your answer is correct!
Steps of Long Division (DMSB)
1. Divide
2. Multiply
3. Subtract
4. Bring Down
This mnemonic (DMSB) helps you remember the sequence of steps to follow repeatedly in long division. You start by dividing, then multiply the quotient digit by the divisor, subtract the product, and finally bring down the next digit from the dividend to repeat the process.
Remainder Rule
$Remainder < Divisor$
A fundamental rule in division: the remaind...
4 more steps in this tutorial
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Challenging
A school district has 4,650 pencils to give to 75 different classrooms. Each classroom also receives 2 boxes of paper. If the pencils are distributed equally, and one classroom gives away 15 of its pencils to the art teacher, how many pencils does that classroom have left?
A.47
B.62
C.77
D.45
Challenging
A division problem is written as 5,_24 รท 26. The final answer is a quotient of 220 with a remainder of 4. What is the missing digit in the dividend?
A.6
B.7
C.8
D.5
Challenging
Which is greater: the remainder of 3,580 รท 35 or the quotient of 1,248 รท 78?
A.The remainder of 3,580 รท 35 is greater.
B.The quotient of 1,248 รท 78 is greater.
C.They are equal.
D.It is impossible to tell.
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