Remember that 25 is 100 divided by 4, so dividing by **25 **is the same as dividing by 100 and multiplying by 4:

- move the decimal point two places to the left then
- multiply by
**4**( or double twice)

Of course, the multiplication can be done first, but using the recommended procedure has the advantage of providing us the magnitude of the answer first.

Example 14.1: Find **700 ÷ 25 = (7 x 100) ÷ 25 = 7 x (100 ÷ 25) = 7 x 4 = 28**

This example shows the basis of our shortcut. There are **4 25s **in every **100, **so there are **7 x 4** or **28 25s** in **7 hundreds.**

** **Example 14.2: Find **3,400÷ 25**

1. Move the decimal point two places to the left to get **34.00**.

2. Double it to get **68**.

3. Double it again to get **136**.

Example 14.3: Find **3562÷ 250**

1. **250 **is **1/4 **of **1000 **or **10 ^{3 }**so we move the decimal point three places to the left giving us

**3.562.**

2. Multiplying it by

**4**gives us

**14.248.**

To divide a number by **125,**

- Move the decimal point three places to the left then
- Multiply it by
**8**(or double thrice)

** **Example 14.4: Find **20,400÷ 125**

Moving the decimal point three places to the left gives **20.4**

**20.4 x 8 = 40.8 x 4 = 81.6 x 2 = 163.2**

Example 14.5: Find **758 ÷ 12.5**

1. This time **12.5 **is **1/8 **of **100** so we have to shift the decimal point two places to the left making it **7.58**.

2. Multiplying it by **8** gives us **60.64**

Exercise 14:

- ) 1050 ÷ 25 =
- ) 6025÷ 25 =
- ) 8375 ÷ 25 =
- ) 12,400 ÷ 250 =
- ) 71000÷ 125 =
- ) 5,125÷ 125 =
- ) 3,475÷ 250 =
- ) 830÷ 12.5 =
- ) 2475÷ 2.5 =
- ) 5264÷ 0.25 =

Answers to all exercises are found in the answer key.

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