📄 4th Grade Math: Long Division With Remainders Worksheet
📌 1. True / False
1. When you divide 25 by 4, the remainder is 1.
2. A remainder is always smaller than the divisor.
3. If a number is perfectly divisible, its remainder is 1.
4. In the division problem \( 34 \div 5 \), 5 is the dividend.
5. Long division helps us divide large numbers into equal groups.
✏️ 2. Fill in the Blanks
1. The number that is being divided is called the .
2. The number by which another number is divided is called the .
3. The answer to a division problem, not including the remainder, is called the .
4. When a number cannot be divided equally, the leftover amount is called the .
5. To check a division problem, you multiply the quotient by the divisor and add the .
🔗 3. Matching
« The number being divided.
« The number by which you divide.
« The result of division, not including the remainder.
« The amount left over after dividing when numbers do not divide evenly.
« A method for dividing large numbers into smaller, manageable steps.
✍️ 4. Short Answer Questions
1. What is the largest possible remainder when dividing by 6?
💡 Suggested Answer: The largest possible remainder when dividing by 6 is 5, because the remainder must always be less than the divisor.
2. Explain in one sentence why the remainder must always be smaller than the divisor.
💡 Suggested Answer: The remainder must be smaller than the divisor because if it were equal to or larger, you could divide at least one more time.
🎯 5. Multiple Choice
1. What is \( 47 \div 5 \)?
2. Which division problem has a remainder of 3?
3. If you divide 38 candies among 7 friends, how many candies does each friend get, and how many are left over?
📝 6. Open-Ended Questions
1. Divide 75 by 8 using long division. Show your work and write the quotient and remainder.
💡 Solution Steps:
To divide 75 by 8:
1. Think: What is the largest multiple of 8 that is less than or equal to 75?
2. \( 8 \times 9 = 72 \).
3. So, the quotient is 9.
4. Subtract 72 from 75: \( 75 - 72 = 3 \).
5. The remainder is 3.
6. Therefore, \( 75 \div 8 = 9 \text{ R } 3 \).
2. A baker has 53 cookies and wants to put 6 cookies in each box. How many full boxes can the baker make, and how many cookies will be left over?
💡 Solution Steps:
To solve this, we divide 53 by 6.
1. Find the largest multiple of 6 that is less than or equal to 53.
2. \( 6 \times 8 = 48 \).
3. So, the baker can make 8 full boxes.
4. Subtract the cookies used from the total: \( 53 - 48 = 5 \).
5. There will be 5 cookies left over.
6. Answer: The baker can make 8 full boxes with 5 cookies left over.
3. Use long division to find \( 91 \div 4 \). Write your answer in the form of Quotient R Remainder.
💡 Solution Steps:
To divide 91 by 4:
1. First, divide 9 (the tens digit of 91) by 4. \( 4 \times 2 = 8 \). Write 2 above the 9.
2. Subtract 8 from 9, which leaves 1.
3. Bring down the 1 from 91 next to the 1, making it 11.
4. Now, divide 11 by 4. \( 4 \times 2 = 8 \). Write 2 above the 1 (in the ones place).
5. Subtract 8 from 11, which leaves 3.
6. The quotient is 22 and the remainder is 3.
7. Therefore, \( 91 \div 4 = 22 \text{ R } 3 \).
Name Surname: .................................. Date: .... / .... / 202...
Long Division With Remainders Worksheet
SCORE
A. True (T) / False (F)
( .... )
When you divide 25 by 4, the remainder is 1.
( .... )
A remainder is always smaller than the divisor.
( .... )
If a number is perfectly divisible, its remainder is 1.
( .... )
In the division problem \( 34 \div 5 \), 5 is the dividend.
( .... )
Long division helps us divide large numbers into equal groups.
B. Fill in the Blanks
1)
The number that is being divided is called the .....................
2)
The number by which another number is divided is called the .....................
3)
The answer to a division problem, not including the remainder, is called the .....................
4)
When a number cannot be divided equally, the leftover amount is called the .....................
5)
To check a division problem, you multiply the quotient by the divisor and add the .....................
C. Matching Concepts
( .... )
The number being divided.
- Long Division
( .... )
The number by which you divide.
- Quotient
( .... )
The result of division, not including the remainder.
- Divisor
( .... )
The amount left over after dividing when numbers do not divide evenly.
- Dividend
( .... )
A method for dividing large numbers into smaller, manageable steps.
- Remainder
D. Short Answer Questions
1)
What is the largest possible remainder when dividing by 6?
2)
Explain in one sentence why the remainder must always be smaller than the divisor.