Year 5 Short Division and Remainders: lesson and practice

By the end of this chapter you will be able to

• Divide whole numbers and decimals by 10, 100 and 1,000 by moving the digits to the right
• Divide in your head using known facts, place value, fact families, halving and factors
• Divide a number with up to 4 digits by a one-digit number using short division (the bus stop method), exchanging remainders and writing zeros in the answer
• Decide what a remainder means in a story: round up, round down, use the remainder, or write it as a fraction or decimal
• Estimate answers and check them by multiplying back
• Solve sharing, grouping, scaling and simple rate problems
• Use the order of operations, understand the equals sign and solve multi-step problems with bar models

You should already know

• Times tables up to 12 × 12 and the matching division facts
• Short division of 2- and 3-digit numbers by one digit, with and without remainders (Year 4)
• Multiplying and dividing by 10 and 100 (Year 4) and by 10, 100 and 1,000 (Year 5 Chapter 4)
• Multiples and factors (Year 5 Chapter 3)

Where this leads

• Fractions: a fraction is a division (Chapter 6)
• Decimals and percentages (Chapter 7)
• Converting units and finding areas (Chapter 8)
• Long division and the order of operations in Year 6