Addition, Subtraction, Multiplication and Division - Long division - 4-digits by 2-digits (no remainders) - Worksheet

The lesson on long division delivers a comprehensive understanding of dividing four-digit numbers by two-digit numbers without remainders. The National Curriculum objective is to use the formal written method of long division and interpret remainders appropriately, whether as whole numbers, fractions, or rounded figures. To facilitate learning, differentiated worksheets and teaching slides are provided, alongside key vocabulary terms such as 'division', 'long division', 'multiples', 'multiplying', and 'dividing'. The lesson builds on the children's existing knowledge of long division with three-digit numbers, employing their understanding of multiples and the multiplication and division of numbers by 10 and 100 to enhance efficiency.

Students are encouraged to explore key concepts through a series of questions, such as the use of multiples in division and the reason for subtracting totals from the dividend, which helps them see division as repeated subtraction. They also delve into the significance of arrows in long division, symbolizing the movement of digits. The worksheet activities range from completing long division calculations with examples provided, to tackling word problems and finding missing digits in calculations. For deeper engagement, children work on reasoning and problem-solving tasks that further solidify their understanding of long division. These activities are designed to cater to different learning levels, from those working towards the expected standard to those capable of greater depth in their mathematical reasoning.