### Teaching and Group Activities for Understanding

**Day 1 Teaching**

Write 632 ÷ 14 and discuss how we can first write the multiples of 14 and then use these to solve this problem using long division. Give the answer as 45 r 2. Repeat this process with 532 ÷ 17.

**Group Activities**

-- Work in a step-by-step way to use efficient chunking to perform long division.

-- Practise long divisions and then create similar divisions using the same number and different divisors.

**Day 2 Teaching**

Use long division to work out 355 ÷ 15. Agree the answer 23 r 10. We can also divide 10 by 15 to give 10/15. Simplify this to give 232/3. Repeat this process for other divisions, dividing the remainder to give a fraction. Use equivalents to write fraction as a decimal.

**Group Activities**

Use the ‘Exact Answers’ in-depth problem-solving investigation below as today’s group activity.

Or, use these activities:

-- Divide by 16 using the step-by-step chunking process; write remainders as fractions and as equivalent decimals for halves/quarters.

-- Explore patterns of answers ending .25 or .75 when dividing by 16 and attempt to find dividends with answers ending in .5.