Teaching division to your child
is a brief overview of math division. It covers the concept of sharing
in equal amounts, the basic division
operation and long division. The sections most relevant to you will
depend on your child’s level. Use the information and resources to help
review and practice what your child’s teacher will have covered
in the classroom.
When you start teaching division to your child you should introduce
division as being a sharing operation where objects are shared (or
divided) into a number of groups of equal number.
Once you have build an understanding of the concept of division you
can try using these division
worksheets. When teaching early division you should also discuss
that division has an opposite. Discuss how division is about separating
sets, while the opposite type of math, called multiplication is about
combining sets. Explore this relationship with your child as it will
be important when recalling basic facts to solve division problems.
Introduce fact families (e.g. 5 x 3 =15, 3 x 5 = 15, 15 ÷ 3
= 5, 15 ÷ 5 = 3).
After your child grasps the concept of dividing and the relationship
with multiplication you can start working with numbers. Be sure your
child is familiar with the format and signs for division
the concept grasped, teaching division will become more about guided
practice to help your child to become familiar with the division operation
(although it’s really going to be a different type of multiplication
practice.) Start by practicing division by 1, 2 and 3 and then gradually
move up to 9. Use the worksheets to
Division with remainders
Your child will most likely come across or ask about situations where
division “does not work.” These can be explained with
the introduction of the remainder. It is an important idea to understand
as the division of larger numbers will require the “carrying” of
Teaching division with larger numbers
There are a number of methods for dividing larger numbers. One of
these is shown below:
These printable worksheets will
provide practice with similar types of division problems.
There are different methods for dividing multi-digit numbers (long
division). One way is a combination of estimation/ trial and error
and multiplication. There is also a commonly used algorithmic method that is
well explained and illustrated here at mathisfun.com.The example below shows the same algorithmic steps alongside place value blocks to help show what is actually happening during the division process.
Watch an animated mini-lesson showing how to do long division . Note. It shows the same steps as below.
Divide 368 by 16. In other words, we take 368 and share it with 16 equal groups.
Start with the hundreds. There are 3 hundreds. We cannot share 3 equally with 16 groups.
We need to break the hundreds into tens. 3 hundreds equal 30 tens. So with the 6 tens we started with we now have 36 tens. We can start sharing. We can share 2 tens with each of the 16 groups.
We have used up 32 of our tens. We still have four tens to share.
We need to break the tens into ones. 4 tens equal 40 ones. So with the 8 ones we started with we now have 48 ones. We can share 3 ones with each of the 16 groups.
We have used up all 48 of our ones. There are zero left. We have finished.
368 shared equally with 16 groups gives 23 in each group.
368 divided by 16 is 23.
368 ÷ 16 = 23
You can practice long division with this worksheet generator or you can try this Multiplication/ Division Worksheet Generator. It also .provides limitless division questions that can be printed out..
This brief overview of division should highlight that teaching and
learning division has as much to do with multiplication as it does
There is also help and practice available for dividing
for dividing decimals.