Åk 6–9
5.5 Setting up division
There are many ways to set up calculations for division.  In Sweden, there have been many methods taught throughout the years. The one which is currently used is called “short division”. Earlier was used “stairs” or “the lying chair” (long division).

We will show “short division” and it is this method that we recommend you learn.  Here are a few examples:

Example A:


We begin from the left with the tens digit.  6 divided by 3 is 2.

We continue on with the ones digit. 3 divide by 3 is 1.

The answer is twenty one.

Example B:

We begin from the left with the hundreds digit. 8 divided by 4 is 2.

We continue with the tens digit. 9 divided by 4 is 2, and we have 1 left over.
We say that 1 is a remainder and we write the 1 over the 9.  We cross out the 9 in order to show that we have already used it.

Finally we look at the ones digit. 16 divided by 4 is 4. 

The answer becomes two hundred twenty four.

Example C:


7 divided by 5 is 1, and we get a remainder of 2.

29 divided by 5 is 5 and we get a remainder of 4. Now we have no other numbers to divide by but we still have a remainder left.  This means that we are not yet finished but will get an answer that contains decimals.

We write out a decimal sign.

40 divided by 5 is 8 and now we have no remainder left.  We are finished.

The answer is fifteen and eight tenths.

Example D:

4 divided by 5 doesn’t work, the quotient doesn’t become a whole number and because of this we instead take 48 and divide it by 5. 48 divided by 5 is 9 and we get a remainder by 3.

35 divided by 5 is 7 and we have no remainder left. We are finished.

The answer is ninety seven.