Divide whole numbers - 2-digit divisors

Learning Objectives Estimate quotients when dividing whole numbers by 2-digit divisors. Perform long division to divide 3-digit and 4-digit whole numbers by 2-digit divisors. Interpret remainders in the context of division problems. Check the accuracy of division calculations using multiplication and addition. Solve real-world problems involving division of whole numbers by 2-digit divisors. Understand the relationship between dividend, divisor, quotient, and remainder. Ever wondered how many full boxes you can fill if you have 345 cookies and each box holds 24? 🍪 Let's find out! In this lesson, you'll learn how to divide larger whole numbers by 2-digit numbers using a powerful method called long division. This skill is essential for solving many everyday problem...

TermDefinitionExample DividendThe number that is being divided in a division problem.In the problem 758 ÷ 32, the dividend is 758. DivisorThe number by which another number (the dividend) is divided. In this lesson, it will always be a 2-digit number.In the problem 758 ÷ 32, the divisor is 32. QuotientThe result obtained from dividing one number by another; it's how many times the divisor 'fits into' the dividend.In 758 ÷ 32 = 23 with a remainder of 22, the quotient is 23. RemainderThe amount left over after dividing one whole number by another, when the divisor does not divide the dividend exactly.In 758 ÷ 32 = 23 R 22, the remainder is 22. Long DivisionA step-by-step method used to divide larger numbers, especially when the divisor has two or more digits, by breaking the...

The Division Algorithm $Dividend = (Divisor \times Quotient) + Remainder$ This fundamental rule allows you to check the accuracy of your division. After finding the quotient and remainder, multiply the quotient by the divisor and add the remainder. The result should equal your original dividend. Long Division Steps (DMSB) 1. Divide 2. Multiply 3. Subtract 4. Bring Down This is the cyclical process for performing long division. You repeatedly apply these four steps until all digits of the dividend have been used. 'Divide' means estimating how many times the divisor goes into the current part of the dividend. 'Multiply' means multiplying that estimate by the divisor. 'Subtract' means finding the difference. 'Bring Down' means bringing th...