Dividing by 5 and 10 links with place value in the base 10 numeration system. Dividing a number which leaves a remainder requires good knowledge of the basic division facts.
Basic division facts are the reverse or inverse facts from multiplication facts, from 0x0 to 10×10 or 12×12. Dividing in this situation thus results in a whole number:
Dividing other numbers which are not whole number multiples of the divisor is more complicated. For example, dividing a number like 26 by 6 involves the following steps:
Students will benefit from exploring the effect of dividing various numbers in sequence by the same divisor. For example:
There are thousands of division with remainder questions, even restricting the number divided to less than 100 or 144. Students who are ready for even more of a challenge can try dividing by larger divisors, such as 20 or 25, for example.