Divide 2-digit numbers by 1-digit numbers: interpret remainders

Learning Objectives Perform long division of 2-digit numbers by 1-digit numbers, identifying the quotient and remainder. Identify the dividend, divisor, quotient, and remainder in any division problem. Express remainders correctly using the 'R' notation. Interpret the meaning of a remainder in various real-world contexts (e.g., 'left over', 'needs one more', 'ignored'). Solve word problems involving division of 2-digit numbers by 1-digit numbers and correctly interpret the remainder to answer the question. Determine when to round up, round down, or use the remainder as a 'leftover' based on the problem's context. Ever tried to share a pack of 25 cookies equally among 4 friends? 🤔 What happens to the extra cookies that c...

TermDefinitionExample DividendThe number that is being divided into smaller parts or groups.In the problem 38 ÷ 5, the dividend is 38. DivisorThe number by which another number (the dividend) is divided; it tells us the size of each group or how many groups we are making.In the problem 38 ÷ 5, the divisor is 5. QuotientThe result obtained from a division problem, representing the number of full groups or the amount in each group.In 38 ÷ 5 = 7 R 3, the quotient is 7. RemainderThe amount left over after dividing one integer by another, when the dividend is not perfectly divisible by the divisor.In 38 ÷ 5 = 7 R 3, the remainder is 3. Long DivisionA step-by-step method used for dividing larger numbers, breaking the process down into manageable parts of multiplication, subtraction, and bringin...

The Division Algorithm $$ \text{Dividend} = \text{Divisor} \times \text{Quotient} + \text{Remainder} $$ This fundamental rule shows the relationship between all parts of a division problem. You can use it to check if your division calculation is correct by plugging in your numbers. Remainder Condition $$ 0 \le \text{Remainder} < \text{Divisor} $$ This rule states that the remainder must always be a non-negative number and strictly less than the divisor. If your remainder is greater than or equal to the divisor, it means you can divide further, and your quotient is not correct.