Divide Questions

Divide questions are essential to practice for the improvement of arithmetic skills in lower standards. The questions presented here will be beneficial for students to enhance their numeracy skills.

Also, check out What is Arithmetics?

Division is an arithmetic operation that simply means “share equally”, “divide among”, “split into”, etc. For example, a pizza with 6 slices has to be equally distributed among three friends; then, obviously, one may say that each of them will get 2 slices of pizza. So, what we did here in terms of arithmetics is divide 6 by 3, which results in 2.

So, whenever we encounter problems that indicate a sense of sharing, dividing, distributing, etc. We must understand that the problem is related to division.

Learn more about divide.

  • Division is the inverse operation of multiplication. For example, 3 × 8 = 24 and 24 ÷ 3 = 8.
  • According to Euclid’s Lemma, for any two non-zero numbers a and b, there always exist unique numbers q and r such that b = aq + r. Hence, we have the division formula, Dividend = Divisor × Quotient + Remainder
  • While dividing fractional numbers, we take the reciprocal of the divisor fraction number and multiply it by the dividend.
  • Any number divided by zero is an indeterminate form.
  • HCF or GCD of given numbers is the greatest number that can divide those given numbers completely.

Divide Questions with Solutions

Below are some divide questions and their solutions to help students understand different concepts regarding division.

Question 1:

What will be the quotient if 2468 is divided by 4?

Solution:

Using the long division method,

Divide Questions

Therefore, 2468 ÷ 4 = 617 or 2468 = 4 × 617.

Also, check: Long Division Online Calculator.

Question 2:

What number should be subtracted from 367 to make it divisible by 3?

Solution:

Now, 367 = 3 × 122 + 1.

Hence, when 367 is divided by 3, it leaves a remainder of 1.

Thus, 367 – 1 = 366 is divisible by 3.

Question 3:

A shirt can be made out of 3 m cloth. If there is a roll of 1350 m cloth, how many total shirts can be made out of it?

Solution:

Cloth needed to make a shirt = 3 m

Total cloth = 1350 m

Number of shirts = Total cloth ÷ cloth needed to make one shirt = 1350 ÷ 3 = 450.

Therefore, 450 shirts can be made.

Question 4:

What is the greatest number which can divide 24, 56 and 18?

Solution:

The prime factorisation of 24, 56 and 28 are

24 = 2 × 2 × 2 × 3

56 = 2 × 2 × 2 × 7

28 = 2 × 2 × 7

We see that 2 × 2 = 4 is a common factor. Thus, 4 is the greatest number which can divide 24, 56 and 18.

Question 5:

Evaluate 2 + 24 × ½ ÷ ⅖.

Solution:

The given problem can written as [2 + {24 × (½ ÷ ⅖)}]

= [2 + {24 × (½ × 5/2)}]

= [2 + {24 × 5/4}]

= [2 + {6 × 5}]

= 2 + 30 = 32

  • While solving an expression with multiple operations, the order of performing operations is division, multiplication, addition then subtraction.
  • Whenever we divide any with 10, 100, 1000, …, we just place a decimal point according to the number of zeros.

Question 6:

Evaluate 685/100.

Solution:

Since there are 2 zeros in 100, we shall place the decimal point after two places counting from the ones place.

685/100 = 6.85.

Question 7:

Five friends went to a restaurant. The total bill was ₹ 2500. In what way they should split the bill so that each of them has to pay an equal amount?

Solution:

Total amount = ₹ 2500

Number of person = 5

Amount each one has to pay = ₹ 2500/5 = ₹ 500.

Question 8:

What is the remainder when 2765 is divided by 6?

Solution:

We see that 6 × 460 = 2760 and 6 × 461 = 2766

∴ 2765 = 6 × 460 + 5

Thus, 6 divides 2765 leaving a remainder of 5.

For any two non-zero numbers a and b, there exists unique numbers q and r such that

b = aq + r and r < a. That is, the remainder is always less than the divisor.

Question 9:

The cost of a per night stay at a hotel is ₹785. When checking out from the hotel, a man pays an amount of ₹3140. How many nights did he stay at the hotel?

Solution:

Cost of one night at hotel = ₹785

Total amount paid = ₹3140

Number of nights = 3140/785 = 4

Therefore, he stayed for 4 nights at the hotel.

Question 10:

Divide 2.25 by 0.005.

Solution:

2.25/0.005 = 225000/500 = 2250/5 = 450.

Video Lesson on How to Divide Numbers

Also Read:

Recommended Videos

Practice Questions

1. Divide 2738 by 12.

2. The capacity of a glass is 300 ml. How many such glasses can be filled from 6 litres bottle of water?

3. What will be the remainder when 56846 is divided 4.

4. What is the greatest common number which can divide 240, 225 and 65?

5. Evaluate 29812/100.

Comments

Leave a Comment

Your Mobile number and Email id will not be published.

*

*