Knowing your times tables is very useful when dividing – since division is the
inverse of multiplication. For simpler questions, you may want to use certain
mental methods when dividing.
| Example 1. |
If you’re dividing by slightly difficult number, you can break it down to make it easier.
Let’s say that the question is 112 ÷ 14
14 might be difficult to divide by mentally but, we know that 2 x 7 = 14. So, what we can do is divide 112 by 2 first, which is 56. Then we can divide 56 by 7 which is 8.
By breaking it down, the question became much easier and we now know that 112 ÷ 14 = 8.
If a number doesn’t divide completely, you may end up with a remainder at the end.
For example, 12÷ 5 wouldn’t fit fully so the answer would be 2 remainder 2, because 2 fives fit into 12 with 2 left over.
With decimals, the way to divide is very similar to the method used in
multiplication. You multiply it by 10 or 100 to get a whole number, do the
division, then divide your answer by what you multiplied in the beginning.
| Example 2. |
Let’s say our question is 5.4 ÷ 9
We multiply 5.4 by 10 to get 54.
54 ÷ 9 = 6
We then divide 6 by 10 to get 0.6 —> 5.4 ÷ 9 = 0.6
For more complicated division questions, you might want to use a written
method such as long division. This involves subtracting multiples of the
number you are dividing by.
| Example 3 |
Let’s say the question is 496 ÷ 19. This is how it would look in long division style.