Divide using short division with regrouping and remainders
Lesson details
Learning outcome
I can divide using short division with regrouping and remainders.
Key learning points
- If the hundreds number is not a multiple of the divisor then the remainder is regrouped for tens.
- If the tens number is not a multiple of the divisor then the remainder is regrouped for ones.
- If the ones number is not a multiple of the divisor then there will be a remainder in the answer.
- The partial quotients are recorded above the dividend in the correct place value columns.
Keywords
Remainder - A remainder is an amount left over after division (it happens when the dividend does not divide exactly by the divisor).
Regroup / regrouping - The process of unitising and exchanging between place values is known as regrouping.
Common misconception
Pupils not understanding why they may have to regroup or what the regrouped amount represents.
Ask pupils 'What does this digit represent?' draw attention to place value and use continue to use language of unitisation.
Teacher tip
Showing pupils a side by side comparison between concrete and abstract method of short division will help to illustrate regrouping.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Order the division expressions in ascending order.
Q2.Look at the equation: 399 ÷ 3 = 133. 3 is the __________.
Q3.Write the number of tens that have been regrouped in this short division.
Q4.Use short division to solve: 864 ÷ 6 = Write your answer in numeral form.
Q5.An equilateral triangle has a total perimeter of 393 cm. What is the length of one side? Write your answer in numeral form. cm
Q6.Solve this equation using short division: Oil is stored in barrels that have a capacity of 5 litres. How many barrels can be filled with 96 litres of oil?
Assessment exit quiz
6 Questions
Q1.Look at the short division. 539 is the __________.
Q2.Select the statements that are true.
Q3.7 hundreds is equal to ___ tens.
Q4.Look at the short division. You can make groups of 3 ones from the 24 ones in the dividend.
Q5.Select the calculation which will require two or more instances of regrouping.
Q6.Use short division to solve this problem: Izzy is packing 271 t-shirts to sell at a funfair. She packs them equally into 4 large boxes. How many T-shirts will be in each box?
To help you plan your 5 maths lesson on: Divide using short division with regrouping and remainders, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 5 maths lesson on: Divide using short division with regrouping and remainders, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 2 maths lessons from the Division by partitioning leading to short division (2 and 3-digits by 1-digit) unit, dive into the full primary maths curriculum, or learn more about lesson planning.