Divide 2-digit and 3-digit numbers by 2-digit numbers

Learning Objectives Estimate quotients of 2-digit and 3-digit numbers divided by 2-digit numbers. Perform long division to divide 2-digit numbers by 2-digit numbers accurately. Perform long division to divide 3-digit numbers by 2-digit numbers accurately, including those with remainders. Interpret remainders in the context of real-world division problems. Check division answers using multiplication and addition. Solve real-world problems involving division of 2-digit and 3-digit numbers by 2-digit numbers. Ever wondered how many full teams you can make if you have 75 players and each team needs 11? ⚽️ Let's find out how to solve problems like these! In this lesson, you'll learn the step-by-step process of dividing larger numbers by 2-digit numbers. This skill is...

TermDefinitionExample DividendThe number being divided.In 75 ÷ 11, 75 is the dividend. DivisorThe number by which another number is divided.In 75 ÷ 11, 11 is the divisor. QuotientThe result of division, indicating how many times the divisor goes into the dividend.In 75 ÷ 11 = 6 with a remainder of 9, 6 is the quotient. RemainderThe amount left over after dividing one integer by another when the division is not exact.In 75 ÷ 11, the remainder is 9. Long DivisionA standard algorithm used for dividing numbers that are too large to divide mentally, breaking the division problem into a series of easier steps.The step-by-step process used to divide 150 by 12. EstimationFinding an approximate value that is close to the exact answer, often by rounding numbers to make calculations simpler.To estim...

Division Algorithm (Checking Your Work) $$ \text{Dividend} = (\text{Divisor} \times \text{Quotient}) + \text{Remainder} $$ This rule helps you verify your division answer. After you perform division, multiply your quotient by the divisor and then add the remainder. If the result equals your original dividend, your answer is correct. 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 equal to or greater than the divisor, it means you can divide at least one more time, and your quotient is too small.