Addition, Subtraction, Multiplication and Division - Long division - 4-digits by 2-digits (with remainders) - Worksheet

Lesson 18 in the mathematics curriculum for primary school focuses on teaching Year 6 students the formal written method of long division, particularly dividing four-digit numbers by two-digit numbers with remainders. The National Curriculum objective is to enable students to divide up to four digits by a two-digit whole number and interpret remainders appropriately, whether as whole numbers, fractions, or by rounding, depending on the context. Students are provided with differentiated worksheets and teaching slides to aid their learning. They are introduced to key vocabulary such as 'division', 'long division', 'dividing', 'remainder', 'dividend', and 'divisor'. The lesson encourages students to use their knowledge of multiples to assist in the division process and to check that their remainders are smaller than the divisor. They also learn when and how to round remainders based on the context of the problem.

Through a variety of exercises, students practice long division calculations and apply their skills to solve word problems. One such problem involves a factory that produces 6,756 T-shirts in a day, which need to be packed into boxes that each hold 52 T-shirts, prompting students to calculate the number of boxes required. Key questions guide students through the process, prompting them to consider the role of multiples in division, how to handle remainders, and the concept of division as repeated subtraction. The lesson also includes reasoning and problem-solving tasks where students might predict the presence of a remainder without calculation, as well as identify which numbers up to 25 a given number can be divided by without a remainder, leading to discussions about factors and multiples.