Divide whole numbers - 3-digit divisors

Learning Objectives Estimate quotients when dividing whole numbers by 3-digit divisors. Accurately perform long division with 3-digit divisors, including cases with and without remainders. Correctly interpret the remainder in the context of a division problem. Verify their division answers using multiplication and addition. Solve real-world word problems that require dividing whole numbers by 3-digit divisors. Identify and correct common errors made during long division with 3-digit divisors. Imagine you have 15,000 candies to share equally among 125 friends! 🍬 How many candies would each friend get? This lesson will teach you how to solve big sharing problems like this! In this lesson, you will learn the step-by-step process of dividing large whole numbers by 3-digit divi...

TermDefinitionExample DivisorThe number by which another number (the dividend) is to be divided. In our topic, this will always be a 3-digit number.In 12,500 ÷ 125, the divisor is 125. DividendThe number that is being divided. It is the total amount or quantity being split up.In 12,500 ÷ 125, the dividend is 12,500. QuotientThe result obtained when one number is divided by another. It tells you how many times the divisor fits into the dividend.In 12,500 ÷ 125 = 100, the quotient is 100. RemainderThe amount left over after dividing one whole number by another, when the divisor does not divide the dividend exactly.In 25,000 ÷ 120 = 208 with a remainder of 40, the remainder is 40. Long DivisionA standard algorithm used to divide multi-digit numbers, breaking down the division into a series o...

The Division Algorithm $$ \text{Dividend} = \text{Quotient} \times \text{Divisor} + \text{Remainder} $$ This fundamental rule defines the relationship between all parts of a division problem. It states that if you multiply the quotient by the divisor and add the remainder, you should get the original dividend. The remainder must always be less than the divisor. Checking Your Division Answer $$ (\text{Quotient} \times \text{Divisor}) + \text{Remainder} = \text{Dividend} $$ To verify if your long division calculation is correct, use this rule. Multiply your calculated quotient by the divisor, then add any remainder. If the result matches your original dividend, your answer is correct. This is a crucial step to ensure accuracy. Estimation for Initial Quotient Digit $$ \te...