Addition, Subtraction, Multiplication and Division - Long division - 3-digits by 2-digits (with remainders) - Worksheet

The lesson on 'Long Division (Three-digit by two-digit with remainders)' is tailored for Year 6 students, focusing on the formal written method of long division. The National Curriculum objective is to divide numbers up to three digits by a two-digit whole number and interpret remainders appropriately—either as whole number remainders, fractions, or by rounding, depending on the context. To support this learning, differentiated worksheets and teaching slides are provided, alongside a vocabulary list that includes terms such as 'division', 'long division', 'dividing', 'remainder', 'divisor', and 'dividend'. The lesson encourages students to check that remainders are smaller than the divisor and to understand the practical implications of remainders in real-life scenarios, such as determining the number of full packs needed in a given context.

Students are expected to utilize their understanding of multiples to aid in division and to explore what to do when one cannot divide the ones exactly by the divisor. Key questions prompt students to consider the importance of subtracting totals from the dividend and the significance of context when rounding remainders. The worksheets guide students through long division examples, challenging them to complete calculations, find missing digits, and solve multi-step word problems. The lesson progresses through various proficiency levels, from 'Working Towards' to 'Greater Depth', with reasoning and problem-solving activities that further develop the students' division skills. Practical applications, such as calculating the number of packs needed for a school event or the number of coaches required for a trip, help students appreciate the real-world relevance of their mathematical skills.