What is Short Division?

S1-SA1-0135

Grade Level:

Class 3

Maths, Computing, AI

Definition

What is it?

Short division is a quick way to divide a large number by a small single-digit number, usually up to 12. It helps you find how many times one number fits into another, often leaving a remainder. It's like doing long division but keeping most of the calculations in your head or writing fewer steps.

Simple Example

Quick Example

Imagine you have 75 laddoos and want to share them equally among 5 friends. Short division helps you quickly figure out how many laddoos each friend gets. You would divide 75 by 5 using this method.

Worked Example

Step-by-Step

Let's divide 84 by 4 using short division.

Step 1: Write the division problem like this: 4 ) 84

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Step 2: Start with the first digit of the dividend (84), which is 8. Divide 8 by 4. 8 divided by 4 is 2. Write 2 above the 8.

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Step 3: Now, move to the next digit of the dividend, which is 4. Divide 4 by 4. 4 divided by 4 is 1. Write 1 above the 4.

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Step 4: You have no more digits left in 84. So, the division is complete.

Answer: 84 divided by 4 is 21.

Why It Matters

Understanding short division is crucial for strong numeracy skills, which are fundamental in computing and AI. Programmers use division in algorithms, and data scientists use it to analyze data. Even in AI, calculations involving division are common for tasks like averaging data or distributing resources.

Common Mistakes

MISTAKE: Forgetting to carry over the remainder to the next digit. For example, in 75 divided by 3, dividing 7 by 3 gives 2 with a remainder of 1, but some students forget to put the '1' before the '5' to make it '15'. | CORRECTION: Always remember to carry over any remainder to the next digit on its right before dividing again.

MISTAKE: Dividing the remainder instead of the new number formed by the remainder and the next digit. For example, in 75 divided by 3, after getting 1 as remainder from 7/3, some students try to divide just '1' by '3' instead of '15' by '3'. | CORRECTION: The remainder always joins with the next digit to form a new number that you then divide by the divisor.

MISTAKE: Writing the quotient (answer) in the wrong place. For example, writing the answer to 7 divided by 3 above the 5 instead of the 7. | CORRECTION: Each digit of the quotient should be written directly above the last digit of the number you just divided.

Practice Questions

Try It Yourself

QUESTION: Divide 96 by 3 using short division. | ANSWER: 32

QUESTION: A class has 85 students, and they need to be divided into 5 equal groups for a project. How many students will be in each group? | ANSWER: 17 students per group

QUESTION: A shopkeeper has 128 packets of biscuits. He wants to arrange them equally on 4 shelves. How many packets will be on each shelf? If he sells 15 packets from one shelf, how many are left on that shelf? | ANSWER: 32 packets per shelf; 17 packets left on that shelf.

MCQ

Quick Quiz

What is the quotient when 108 is divided by 9 using short division?

The Correct Answer Is:

When you divide 10 by 9, you get 1 with a remainder of 1. This 1 combines with the 8 to make 18. Then, 18 divided by 9 is 2. So, the answer is 12.

Real World Connection

In the Real World

Short division is used in everyday Indian life, like when you're splitting the bill for a group chai session at the local tapri, or calculating how many kilometers an auto-rickshaw covers per liter of fuel. For example, if an auto covers 120 km with 4 liters of fuel, you can quickly use short division to find its mileage per liter.

Key Vocabulary

Key Terms

DIVIDEND: The number being divided | DIVISOR: The number by which another number is divided | QUOTIENT: The result obtained by dividing one number by another | REMAINDER: The amount left over after performing division | CARRY OVER: To transfer a digit from one place value column to the next during calculation

What's Next

What to Learn Next

Great job learning short division! Next, you can explore 'Long Division' for dividing by larger, multi-digit numbers. It builds on the same principles but involves writing down more steps, which will make even complex divisions easy.