Q1: Divide:
(a) 72 ÷ 8
(b) 54 ÷ 6
(c) 90 ÷ 9
Ans:
(a) 72 ÷ 8 = 9
(b) 54 ÷ 6 = 9
(c) 90 ÷ 9 = 10
Q2: Find the quotient and the remainder, using long division method:
(a) 42 ÷ 8
(b) 36 ÷ 5
(c) 24 ÷ 7
Ans:
(a) 42 ÷ 8
Step 1:
Start by setting it up with the divisor 8 on the left side and the dividend 42 on the right side like this:
Step 2:
The divisor (8) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:
Step 3:
Multiply the divisor by the result in the previous step (8 x 0 = 0) and write that answer below the dividend.
Step 4:
Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.
Step 5:
Move down the 2nd digit of the dividend (2) like this:
Step 6:
The divisor (8) goes into the bottom number (42), 5 time(s). Therefore, put 5 on top:
Step 7:
Multiply the divisor by the result in the previous step (8 x 5 = 40) and write that answer at the bottom:
Step 8:
Subtract the result in the previous step from the number written above it. (42 - 40 = 2) and write the answer at the bottom.
You are done, because there are no more digits to move down from the dividend. The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 42 divided by 8 calculated using Long Division is:
5 Quotient
2 Remainder
(b) 36 ÷ 5
Step 1:
Start by setting it up with the divisor 5 on the left side and the dividend 36 on the right side like this:
Step 2:
The divisor (5) goes into the first digit of the dividend (3), 0 time(s). Therefore, put 0 on top:
Step 3:
Multiply the divisor by the result in the previous step (5 x 0 = 0) and write that answer below the dividend.
Step 4:
Subtract the result in the previous step from the first digit of the dividend (3 - 0 = 3) and write the answer below.
Step 5:
Move down the 2nd digit of the dividend (6) like this:
Step 6:
The divisor (5) goes into the bottom number (36), 7 time(s). Therefore, put 7 on top:
Step 7:
Multiply the divisor by the result in the previous step (5 x 7 = 35) and write that answer at the bottom:
Step 8:
Subtract the result in the previous step from the number written above it. (36 - 35 = 1) and write the answer at the bottom.
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 36 divided by 5 calculated using Long Division is:
7 Quotient
1 Remainder
(c) 24 ÷ 7
Step 1:
Start by setting it up with the divisor 7 on the left side and the dividend 24 on the right side like this:
Step 2:
The divisor (7) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:
Step 3:
Multiply the divisor by the result in the previous step (7 x 0 = 0) and write that answer below the dividend.
Step 4:
Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.
Step 5:
Move down the 2nd digit of the dividend (4) like this:
Step 6:
The divisor (7) goes into the bottom number (24), 3 time(s). Therefore, put 3 on top:
Step 7:
Multiply the divisor by the result in the previous step (7 x 3 = 21) and write that answer at the bottom:
Step 8:
Subtract the result in the previous step from the number written above it. (24 - 21 = 3) and write the answer at the bottom.
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 24 divided by 7 calculated using Long Division is:
3 Quotient
3 Remainder
Q3: Divide and check your answer:
(a) 45 ÷ 2
(b) 65 ÷ 8
(c) 92 ÷ 6
Ans:
(a) 45 ÷ 2 = The answer to 45 divided by 2 calculated the answer is
= 22 quotient
= 1 Remainder
(b) 65 ÷ 8 = The answer to 65 divided by 8 calculated using Long is:
= 8 quotient
= 1 Remainder
(c) 92 ÷ 6 = The answer to 92 divided by 6 calculated using Long is:
= 15 quotient
= 2 Remainder
Q4: Divide the following:
(a) 464 ÷ 2
(b) 840 ÷ 7
(c) 348 ÷ 4
Ans:
(a) 464 ÷ 2 = 232
(b) 840 ÷ 7 = 105
(c) 348 ÷ 4 = 87
Q5: Divide and find the quotient:
(a) 2,742 ÷ 6
(b) 8,004 ÷ 6
(c) 4,235 ÷ 7
(d) 8,265 ÷ 3
Ans:
(a) 2,742 ÷ 6 = 457
(b) 8,004 ÷ 6 = 1334
(c) 4,235 ÷ 7 = 605
(d) 8,265 ÷ 3 = 2755
Q6: Divide by 2 and state whether the following numbers are even or odd.
(a) 98
(b) 429
(c) 6849
Ans:
(a) 98 divided by 2 = 49, therefore even number
(b) 429 divided by 2 = 214.5, not completely divisible by 2, therefore odd number.
(c) 6849 divided by 2 = 3424.5,not completely divisible by 2, therefore odd number.
Q7: Find the quotient and the remainder:
(a) 167 ÷ 10
(b) 5,428 ÷ 10
(c) 8,732 ÷ 100
(d) 9,879 ÷ 100
(e) 3,908 ÷ 100
Ans:
(a) 167 ÷ 10
(b) 5,428 ÷ 10
(c) 8,732 ÷ 100
(d) 9,879 ÷ 100
(e) 3,908 ÷ 100
Q8: Fill in the blanks:
(a) 6 ÷ 6 = ______.
(b) 10 ÷ ______ = 10
(c) ______ ÷ 16 = 1
Ans:
(a) 6 ÷ 6 = 1
(b) 10 ÷ 1 = 10
(c) 16 ÷ 16 = 1
Q9: Write the dividend, the divisor and the quotient in each of the following:
(a) 45 ÷ 5 = 9
(b) 152 ÷ 8 = 19
Ans:
(a) 45 ÷ 5 = 9
Dividend = 45, Divisor = 5, Quotient = 9
(b) 152 ÷ 8 = 19
Dividend = 152, Divisor = 8, Quotient = 19
Q10: I want to distribute Rs 3,600 among 8 persons. How many rupees will each person get?
Ans:
Total Rs. = 3600
To be distributed among = 8 persons
3600 ÷ 8 = 450 Rs. per person
Q11: In a division, divisor = 100, quotient = 25 and remainder = 75, find the dividend.
Ans:
Divisor = 100, Quotient = 25 and Remainder = 75
Dividend = Quotient x Divisor + Remainder.
Dividend = 25 x 100 + 75 = 25075
Q12: In a division, remainder is always ______ than the divisor.
Ans: The remainder is always less than the divisor. If the remainder is greater than the divisor, it means that the division is incomplete. It can be greater than or lesser than the quotient.
Q13: 6308 ÷ 100 gives quotient = ______ and remainder = ______.
Ans: 6308 ÷ 100 gives quotient = 63 and remainder = 08.
Q14: Can we divide 0 by a number? ______.
Ans: No, We know that 0 divided by any number is 0, but we also know that any number divided by 0 is undefined.
Q15: Manish has Rs 84. The cost of one pencil box is Rs 14 How many pencil boxes can Manish buy for Rs 84?
Ans:
Q16: There are 280 students. They are divided equally into 4 sections. How many students are there in each section?
Ans:
Q17: The total number of seats in a train is 675 and there are 9 compartments. All the compartments have the same number of seats. How many seats are there in each compartment? Ans:
Q18: There are 10 notebooks of the same kind. If the total number of pages is 1, 450, find the number of pages in each notebook.
Ans:
Q19: A bus covers 192 km in 6 hours. Find the distance covered by it in 11 hours.
Ans:
Q20: Divide the following and check your answer using division algorithm.
(a) 82 ÷ 9
(b) 34 ÷ 4
(c) 5 ÷ 7
Ans:
(a) 82 ÷ 9
Quotient = 9
Remainder = 1
Dividend = Quotient x Divisor + Remainder.
82 = 9 x 9 + 1 = 82
(b) 34 ÷ 4
Quotient = 8
Remainder = 2
Dividend = Quotient x Divisor + Remainder.
34 = 8 x 4 + 2 = 34
(c) 5 ÷ 7
Quotient = 0
Remainder = 5
Dividend = Quotient x Divisor + Remainder.
5 = 0 x 7 + 5 = 5
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1. What is division? |
2. How do you divide two numbers? |
3. What is the role of remainders in division? |
4. Can division result in a fraction? |
5. How is long division used? |
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