lesson
A zero quotient digit is meaningful
1 · Learn
Short division compresses the recording, not the mathematics. A carried remainder becomes ten of the next smaller unit. If the next portion contains no complete groups, record a zero in that quotient column.
A final remainder r on division by d can be written r/d. Simplify or continue into decimal places if the context permits equal fractional shares.
2 · Worked example
2,436 ÷ 12 = 203: 24 hundreds give 2 hundreds; 3 tens give 0 tens; 36 ones give 3 ones. The zero prevents 203 being mistaken for 23.
3 · Your turn
Find 3,648 ÷ 12. Write 125 ÷ 8 as a mixed number.
Check your answer
304; 15 5/8, because 8 × 15 = 120 with 5 left.
4 · Apply your learning
Compare a long and short recording of one calculation, matching the same place-value steps.
Adult guidance and safety
Ask the learner to explain the method and check it using a different representation. Supply place-value grids, fraction strips, accurate diagrams and measuring tools where needed. These examples need varied practice; a short correct answer alone does not establish fluency.
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Check a calculation · Year 5 onward
Use this only when your teacher or adult allows a calculator for the task. Show your thinking first. It does not replace mental or written arithmetic and does not mark your lesson answer.
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