Divide multi-digit numbers by 1-digit numbers

Learning Objectives Identify the parts of a division problem (dividend, divisor, quotient, remainder). Perform long division to divide 3-digit and 4-digit numbers by 1-digit numbers. Interpret remainders in division problems within real-world contexts. Check division answers using multiplication and addition. Solve word problems involving the division of multi-digit numbers by 1-digit numbers. Estimate quotients to verify the reasonableness of answers. Ever wondered how a baker divides 528 cookies equally among 8 trays? 🍪 Or how a teacher shares 345 pencils among 5 students? In this lesson, you'll learn the powerful technique of long division to confidently divide large numbers by a single digit. Mastering this skill is essential for solving everyday problems and buil...

TermDefinitionExample DividendThe number that is being divided in a division problem.In the problem 738 ÷ 6, the dividend is 738. DivisorThe number by which the dividend is divided.In the problem 738 ÷ 6, the divisor is 6. QuotientThe result obtained from dividing one number by another.In 738 ÷ 6 = 123, the quotient is 123. RemainderThe amount left over after dividing one number by another, when the dividend is not perfectly divisible by the divisor.If you divide 27 by 4, the quotient is 6 with a remainder of 3 (27 ÷ 4 = 6 R 3). Long DivisionA step-by-step method used to divide large numbers, breaking the problem down into a series of simpler division, multiplication, and subtraction steps.Using the long division algorithm to find that 2547 ÷ 4 = 636 R 3. EstimationThe process of finding...

The Division Algorithm $ ext{Dividend} = ( ext{Quotient} \times ext{Divisor}) + ext{Remainder}$ This rule helps you check your division answer. After performing division, multiply your quotient by the divisor and add any remainder. The result should equal the original dividend. Steps of Long Division (DMSB) **D**ivide, **M**ultiply, **S**ubtract, **B**ring Down (Repeat) This mnemonic outlines the cyclical steps for performing long division. You start by dividing the first part of the dividend, then multiply the quotient digit by the divisor, subtract, and bring down the next digit to repeat the process until no digits are left.