Year 7 Interactive Maths - Second Edition

Division

Short Division

Example 15

Solution:

Long Division

So far we have used our 'times table' knowledge to divide one number by another number.  Now, we will consider division in which the dividend is greater than 100 and the divisor is still less than or equal to 10.

Example 16

Solution:

Note:

• As division is the inverse of multiplication, start by dividing 4 into the column furthest to the left.
• 6 ÷ 4 = 1 and 2 is the remainder.
• Clearly, the remainder 2 is 200 (i.e. 20 tens); and we can carry this into the tens column to make 29.  This is written as shown below.

• Now, 29 ÷ 4 = 7 with a remainder of 1.  Clearly, the remainder of 1 is 10 (i.e. 10 units) and we carry this into the units column to make 12.  This is written as:

• Finally, 12 ÷ 4 = 3, which is illustrated in the solution shown above.

Example 17

Solution:

Note:

Key Terms

division, dividend, divisor, times table, short division, long division, quotient, remainder