Divide 2-digit and 3-digit numbers by 2-digit numbers: word problems

Learning Objectives Identify the division operation required to solve word problems. Translate real-world scenarios into numerical division expressions involving 2-digit divisors. Accurately perform long division with 2-digit and 3-digit dividends by 2-digit divisors. Interpret the meaning of a remainder in the context of various word problems. Solve multi-step word problems that include division of 2-digit and 3-digit numbers. Use estimation to check the reasonableness of their division answers. Ever wonder how many full boxes you can fill if you have a large number of items, or how many trips a bus needs to make? 📦 Let's find out how division helps us solve these real-world puzzles! In this lesson, you'll master how to tackle word problems that require dividing...

TermDefinitionExample DividendThe number that is being divided in a division problem. It's the total amount you start with.In 120 ÷ 15, 120 is the dividend. DivisorThe number by which another number (the dividend) is divided. It tells you how many equal groups you are making or the size of each group.In 120 ÷ 15, 15 is the divisor. QuotientThe result of a division problem. It tells you how many times the divisor fits into the dividend, or the size of each group.In 120 ÷ 15 = 8, 8 is the quotient. RemainderThe amount left over after a division when the dividend cannot be divided exactly by the divisor. It's always less than the divisor.In 95 ÷ 12 = 7 with a remainder of 11, 11 is the remainder. Word ProblemA mathematical problem presented in a narrative or story form, requiring y...

Division Algorithm $Dividend = (Divisor \times Quotient) + Remainder$ This rule helps you check your division answer. If you multiply your quotient by the divisor and add the remainder, you should get the original dividend. Interpreting Remainder (Discard) If the problem asks for 'how many full groups' or 'how many complete items', the remainder is ignored or discarded. Use this when the leftover amount cannot form another complete unit or group, and the question specifically asks for the number of *complete* units. Interpreting Remainder (Round Up) If the problem asks for 'how many total groups needed' or 'enough for everyone', the remainder means an additional group is required, even if it's not full. Use this when any l...