Fast Division by 5 Mental‑Math Shortcut for Class 6 Students
· 3 min read · By the Braineefy Editorial Team
Learn a fast mental‑math shortcut for dividing by 5, perfect for Class 6 students. Simple steps, real examples, and home practice ideas help parents boost arithmetic confidence.
Teaching fast division by 5 using a mental‑math shortcut helps Class 6 learners solve problems quickly and builds confidence in everyday calculations. This method relies on a simple base‑10 pattern that can be practiced at home or in the classroom.
Understanding the base‑10 pattern for dividing by 5
Because 5 is half of 10, any number divided by 5 can be turned into a division by 10 after a short adjustment. The adjustment is to double the number first, then shift the decimal point one place to the left.
Rule: Multiply by 2 then move the decimal
- Take the original number.
- Multiply it by 2 (use the standard multiplication table).
- Place the decimal one place to the left – this is the same as dividing by 10.
- The result is the original number divided by 5.
Step‑by‑step mental shortcut
Follow these mental steps for any whole number:
- Ask yourself: "If I double this number, what do I get?"
- Visualise the product as a simple multiplication: for example, 2 × 48 = 96.
- Now think of moving the decimal one place left: 96 becomes 9.6.
- The final answer, 9.6, is 48 ÷ 5.
For numbers ending in 0, the decimal shift simply drops the zero, making the answer an integer.
Worked examples for Class 6
Example 1: 135 ÷ 5 → 2 × 135 = 270 → 270 ÷ 10 = 27.
Example 2: 462 ÷ 5 → 2 × 462 = 924 → 924 ÷ 10 = 92.4.
Example 3: 800 ÷ 5 → 2 × 800 = 1600 → 1600 ÷ 10 = 160.
Example 4 (large number): 7 245 ÷ 5 → 2 × 7 245 = 14 490 → 14 490 ÷ 10 = 1 449.
Common mistakes and how to avoid them
A frequent error is to forget the decimal shift after doubling. Some children say “fifty‑four” for 27 ÷ 5, because they stop at the multiplication step and treat the product as the final answer. Remind them to always move the decimal one place left after the multiplication.
Practice activities you can try at home
- Write a list of 20 random two‑digit numbers. Have your child apply the shortcut and check the answers with a calculator.
- Play a "quick‑fire" game: call out a number, and the child must answer the division by 5 within three seconds.
- Use everyday situations, such as splitting a ₹250 bill among five friends, and ask the child to compute the share mentally.
- Integrate the Braineefy Trick Temple journey: as children master each level, they unlock a new temple gate that celebrates their speed in dividing by 5.
Connecting the shortcut to other curriculum topics
The same "multiply‑by‑2 then divide‑by‑10" idea works for dividing by 2, 4, and 8 when paired with appropriate powers of two. This creates a bridge to the multiplication shortcut method taught in Class 5 and the 7‑trick in multiplication explored in Class 4.
Why mental‑math practice matters for school maths
Regular use of mental shortcuts reduces reliance on paper calculations, frees up mental bandwidth for problem solving, and aligns with the Divide Class 6 curriculum that emphasises speed and accuracy. It also prepares students for competitive exams where time is limited.
How to incorporate the shortcut into daily study routines
- Start each maths session with five warm‑up division‑by‑5 problems.
- Encourage children to explain the reasoning aloud – teaching reinforces understanding.
- Track progress on a simple chart; noticing improvement motivates continued practice.
Link to Braineefy's Trick Temple journey
Within Braineefy's app, the "Divide by 5" challenge is a dedicated temple level. Children who complete the level receive a digital badge that can be displayed on their profile. Even if you do not use the app, the structure of a level‑based challenge can be mimicked with printable cards.