Mathematics
Intermediate
50 mins
Teacher/Student led
+80 XP
What you need:
IWB/Projector/Large Screen
Counters

Division with Remainders

Learn what remainders are and how to write division answers as a quotient and remainder. Work through real-life sharing problems and discover why the remainder must always be smaller than the divisor.

Teacher Class Feed

Load previous activity

    1 - Getting Started ~4 mins

    Illustration for Getting StartedPicture this: your team has 13 hurleys to share out between 4 players so everyone has the same number. How many hurleys does each player get? And here is the tricky part: is there anything left over?

    Hands up: what do we call the bit that is left over after we have shared as fairly as we can?

    2 - Watch and Notice ~9 mins

    The interactive deals counters into equal groups, one round at a time. Watch how many land in each group and how many are left over. That leftover is the remainder.

    3 - Try It Together ~8 mins

    Today we work through these four divisions one after another at the board, dealing the counters into equal groups and reading off the leftover each time: 14 ÷ 3, then 22 ÷ 4, then 26 ÷ 6, then 40 ÷ 7. Each one leaves something over, and we will say the remainder aloud and check it is smaller than the number of groups before we move on to the next one.

    Deal and read the remainder

    4 - Work It in Your Copy ~2 mins

    COPYBOOK MOMENT

    In your maths copy, work these two divisions and write each answer as “□ remainder □”:

    • 17 ÷ 5
    • 26 ÷ 4

    When you have both, check each remainder is smaller than the number you divided by.

    5 - Class Challenge ~8 mins

    Today we solve these remainder problems from real life, one step harder each time: 11 buns shared among 3 friends, then 22 sweets shared among 5 friends, then 34 cones packed into 6 bags, then 50 children put into 8 teams. For each one, deal the counters into equal groups, read off the quotient and the remainder, and then say what the leftover actually means in the story.

    Remainders in real life

    Pupil practice
    Module 2 · The Four Operations: Mental and Written Number
    Lesson 27 · Division with Remainders
    Download Activity Book page (PDF)
    123learn · Online learning platform

    Unlock the full learning experience

    You're previewing this lesson. Get full access to this lesson and hundreds more — each one ready to teach, with interactive activities, printable resources and pupil progress tracking built in.

    Hundreds of curriculum-aligned lessons
    Interactive activities in every lesson
    Printable resources & progress tracking
    Copyright Notice
    This lesson is copyright of Coding Ireland 2017 - 2025. Unauthorised use, copying or distribution is not allowed.
    🍪 Our website uses cookies to make your browsing experience better. By using our website you agree to our use of cookies. Learn more