How to divide a number when the divisor ends in digit 1- Part 2?

 

This is the second part of our discussion on how to divide a number when the divisor ends in digit 1.  If you have not gone through the first part, I advise you to go through that part here. This shortcut works when the denominator has a unit digit of 1. The traditional method of long division technique would often take a longer time. With time constraints in competitive examinations, this technique would often take a long time.

Let us understand the steps involved with an example.

Example 3 :  Divide 434÷151.

Solution : Step 1 :  Reduce 434÷151 as follows :

Division-denominator-1-1

Step 2 : Now, there is a small difference compared to the previous 2 examples. In the previous 2 examples, the numerator was less than the denominator. However, in this case, we have the numerator which is greater than the denominator.

In this division, we need to subtract the quotient with the rest of the digit (3) and put this digit next to the reminder.

Division-denominator-1-1

 So, Therefore,

Division-denominator-1-1

Example 4 : Let us consider another example so that is clear to you. Divide 3462÷171.

Solution : Step 1 :  Reduce 3462÷171 as follows :

 Division-denominator-1-1

Step 2 :  Notice that numerator is greater than the denominator. There is a slight variation compared to the previous example.

Division-denominator-1-1

 So, therefore, we have :

Division-denominator-1-1

Try yourself :

Divide the following :

  1. 3432/161
  2. 4546/231
  3. 9398/181
  4. 894984/351

 

I hope, you find this article very useful. If you have any doubts or have any comments concerning this tutorial, Please leave a comment or contact me. I would be glad to help.

Kiran Chandrashekhar

Hey, Thanks for dropping by. My name is Kiran Chandrashekhar. I am a full-time software freelancer. I love Maths and Mathematical Shortcuts. Numbers fascinate me. I will be posting articles on Mathematical Shortcuts, Software Tips, Programming Tips in this website. I love teaching students preparing for various competitive examinations. Read my complete story.

One Comment

  1. Nice trick sir, thanx…
    I need help in 4546/231
    Confusion in subtracting 5-9

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