Divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division - Reasoning

Mastering the formal written method of long division is a crucial mathematical skill for students, particularly when dividing numbers up to four digits by two-digit whole numbers. This method involves a systematic approach to breaking down a larger number into more manageable parts to find the quotient. The process starts with setting out the dividend (the number to be divided) and the divisor (the two-digit number) in a long division bracket. Students then work step-by-step, considering how many times the divisor fits into the initial digits of the dividend, before subtracting and bringing down the next digit of the dividend to repeat the process.

The reasoning behind each step is important to ensure students understand the mechanics of long division and can apply it correctly. They must be able to determine the largest multiple of the divisor that fits into the current selection of digits from the dividend, write the corresponding digit in the quotient, and accurately subtract to find the remainder before continuing with the next step. This method not only enhances their number sense but also prepares them for more complex mathematical concepts. As students become more proficient, they develop the ability to solve division problems with confidence and accuracy, a skill that will serve them well in their future mathematical endeavours.