Guided Lessons

# Solving Long Division Problems

Help your students put their best foot forward when it comes to this lesson that allows them to solve problems both in a group setting and individually.

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Students will be able to use long division.

(10 minutes)
• Invite the students to bring their maths journals and a pencil to the class meeting area.
• Tell them to place their supplies on the floor next to them.
• Tell the students that today they're going to learn a strategy for solving long division problems. Write the word DivisionOn the board.
• Let the students know that division is an operation that tells us the number of groups that can be made out of another number.
• On the board, set up a division problem, such as 17/5. Solve the problem so that you are left with the answer 3 with a remainder of 2. Label each number with its corresponding name. 17 should be the Dividend, 5 is the Divisor, 3 is the QuotientAnd 2 is the Remainder.
• Define these terms for your students as follows:
• Dividend: In a division problem, the number that is to be divided is called the dividend.
• Divisor: In a division problem, the number that divides the dividend is called the divisor.
• Quotient: Upon division, the number obtained other than the remainder is called the quotient.
• Remainder: The remainder is the number that is left over after dividing.
(10 minutes)
• Direct the students’ attention to the board.
• Write a division problem, such as 83 divided by 7, on the board.
• Tell the students that the first thing we want to do is create a help box to help us in solving this division problem.
• Create a chart that lists the products of 7x1, 7x2...7x10.
• Demonstrate solving this problem for students. You should reach the answer 11 with a remainder of 6.
(20 minutes)
• Put another problem on the board similar to the one just completed.
• Tell the student to pick up their supplies and write the problem down.
• Ask for volunteers to raise their hands and share with the class the steps needed to complete this problem based on the problem just completed.
• Give the students time to solve the problems.
• Ask the students to dictate to you how they solved the problem. Write their responses on the board.
• Review the problem with the class to check for accuracy. Make sure everyone has the problem written down as a reference for completing their assignment during independent work time.
(30 minutes)
• Send the students back to their seats.
• Pass out the Solving Long Division Problems worksheet.
• Walk around the room to assist students as needed.
• Enrichment:Give advanced students more difficult long division problems to solve.
• Support:Observe and monitor struggling students more closely. Get involved in helping the students solve the problems.
(10 minutes)
• Check the worksheet for correctness and to decide who may need extra small group practise.
(10 minutes)
• Bring the students back to the class meeting area.
• Ask for volunteers to share their answers and work for the problems assigned.
• As the problems are reviewed in front of the class, the students will check their answers for accuracy.
• After each problem has been checked for accuracy, ask the class if there are any questions or comments about long division.