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Two-Digit Division Practice

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Two-Digit Division Practice

Hugo is helping organise gear for a community adventure day. Solve each division problem and show your thinking. Estimate before calculating when asked. Check answers by multiplying; for remainders, use quotient × divisor + remainder.

Estimate and calculate

Choose sensible rounded numbers that make the division easy. Estimates may vary if they are reasonable.

1.The adventure centre has 1,254 snack bars to share equally among 26 groups. Round to estimate the number of bars per group, then calculate 1,254 ÷ 26. Show a check.

2.There are 2,184 metres of safety rope, cut into 42-metre lengths. Estimate first, then find the number of complete lengths and any leftover rope.

3.A gear store stacks 3,456 drink cups equally into 64 crates. Which is the best quick estimate for cups per crate?

About 5 (3,500 ÷ 700)
About 50 (3,200 ÷ 64)
About 500 (3,200 ÷ 6)
About 90 (3,600 ÷ 40)

Solve and check

Use a written division method or another clear strategy. Include remainders where needed.

4.The organisers place 1,368 reflective tags equally into 24 supply bags. How many tags go in each bag? Check by multiplication.

5.A group has 2,016 metres of marked trail to split into 36 equal sections. How long is each section?

6.The kitchen packs 4,275 muesli bars into boxes of 75. How many full boxes can it fill, and how many bars are left?

Plan the supplies

Use division to make fair shares and sensible packing decisions.

7.There are 1,584 water bottles to pack equally into 48 boxes. How many bottles go in each box? Include an estimate and a multiplication check.

8.The adventure day has $2,736 in its budget for 36 team kits. If the money is shared equally, how much can be spent on each kit?

9.A supply team has 3,168 books of trail activities to place equally on 72 tables. How many books go on each table? Explain how you know your answer is reasonable.

Reason it out

Spot useful estimates, explain a division step, and take on a challenge.

10.Which estimate is closest to 1,947 ÷ 23? Choose the best option.

2,000 ÷ 20 = 100
1,900 ÷ 25 = 76
2,000 ÷ 25 = 80
1,900 ÷ 20 = 95

11.In long division, a student estimates that 38 goes into 152 five times, then notices 5 × 38 is greater than 152. What should the student do next?

12.Tick the steps that belong in a reliable written division method: estimate a quotient digit; multiply the divisor by that digit; subtract; bring down the next digit; add the divisor to the dividend; check the result using multiplication.

13.Challenge: The organisers have 5,472 metres of bunting to divide into 96 equal lengths. Estimate, calculate the length of each piece, and check your answer.