Max Maths, Year 6, Learn together, Dividing 3-digit numbers by 2-digit numbers (4)

In the Max Maths curriculum for Year 6, students learn about dividing 3-digit numbers by 2-digit numbers. One example provided is 395 divided by 17. To solve this, students first identify multiples of 17 that are close to the number 395. They start by multiplying 17 by 10 and 20, which gives them 170 and 340 respectively. Since 340 is less than 395, it's used as the initial step in the long division process. After subtracting 340 from 395, they are left with 55. Further division identifies that 17 goes into 55 three times (3 x 17 = 51), leaving a remainder of 4. Adding the factors together (20 from the initial step and 3 from the subsequent division), students conclude that 395 divided by 17 equals 23 with a remainder of 4.

Another division example involves 896 divided by 35. The long division method is applied in two main steps. First, students divide 89 tens by 35, which results in 2 tens with a remainder of 19 tens. Then, they bring down the 6 ones to join the 19 tens, making 196 ones. Dividing 196 ones by 35 gives a result of 5 ones with a remainder of 21 ones. Combining the results from both steps, the final answer is that 896 divided by 35 equals 25 with a remainder of 21. Through these exercises, students enhance their understanding of long division and improve their mathematical problem-solving skills.