The long division steps
- Divide. How many times does the divisor go into this part?
- Multiply. Write the product under it.
- Subtract. Find what is left.
- Bring down. Bring down the next digit and start again.
More practice
Division facts come first: the times tables worksheets include division facts. For multiplying big numbers, see long multiplication.CAPS links
- Grade 3Divides numbers up to 100 by 2, 3, 4, 5 and 10, and solves sharing and grouping problems with remainders.
- Grade 4Divides at least 3-digit numbers by 1-digit numbers, using multiplication as the inverse to divide and to check.
- Grade 5Divides at least 3-digit numbers by 2-digit numbers.
- Grade 6Divides at least 4-digit numbers by 3-digit numbers; long division is named as a technique.
CAPS grows division out of sharing and grouping, starting with story sums about equal sharing in Grade R, and it keeps word problems with remainders all the way through. In the Intermediate Phase it asks for both kinds of problem: sharing (6 children share 32 sweets) and grouping.
This maker always divides by one digit, from 2 to 9, which matches the Grade 4 range. The 2-digit and 3-digit divisors of Grades 5 and 6 are beyond it.
Summarised in our own words from the DBE’s CAPS for Mathematics, Foundation Phase and Intermediate Phase Grades 4–6 (2011).