Division

In Mathematics, there are four basic arithmetic operations, i.e. addition, subtraction, multiplication and division. 

Division means to distribute a value/number/amount equally. Its result may or may not be a whole number. It can also be in the form of a decimal.

In this article, the lesson objective is:

1. Division up to 4-digit by 1-digit numbers

Long Division

Division can be done by the long division method. 

Example: 

Do the following division. 

\(965 \div 8 =\) __________

1. What is the quotient? 

Solution:

Answer:

120

2. What is the remainder? 

Answer:

5

1. Division Of 4-Digit Number By 1-Digit Number

Question 1: 

Do the following division.

\(4824 \div 2 =\) __________

Solution: 

Answer:

2412

Question 2: 

Perform the following division.

\(6009 \div 3 =\) __________

Solution:

Answer:

2003

Question 3: 

Perform the following division.

\(8012 \div 4 =\) __________

Solution: 

Answer:

2003

Question 4:

Perform the following division.

\(5525 \div 5 =\) _________

Solution: 

Answer:

1105

Question 5: 

Perform the following division.

\(5649 \div 7 =\) __________

Solution: 

Answer:

807

Question 6:

Perform the following division.

\(2989 \div 4 =\) __________ \(\text{R}\) __________

Solution:

\(2989 \div 4 = 747 \text{ R } 1\)

Answer:

747  R  1

Question 7: 

Perform the following division.

\(7268 \div 8 =\) __________ \(\text{R}\) __________

Solution:    

\(7268 \div 8 = 908 \text{ R } 4\)

Answer:

908 R 4

Question 8: 

Perform the following division.

\(6572 \div 8 =\) __________ \(\text{R}\) __________

Solution:

\(6572 \div 8 = 821 \text{ R } 4\)

Answer:

821 R 4

Question 9: 

Solve the following 

__________ \(÷ \;8 = 183 \text{ R } 5\)

Solution:

There are 183 groups of 8 and 5 left.

\(\begin{align}​​ 183 \times 8 &= 1464\\ 1464 + 5 &= 1469 \end{align}\)

Answer:

1469

Question 10: 

Solve the following. 

_________ \(÷ \;6 = 214 \text{ R } 3\)

Solution: 

There are 214 groups of 6 and 3 left.

\(\begin{align}​​ 214 \times 6 &= 1284\\ 1284 + 3 &= 1287 \end{align}\)

Answer:

1287

Question 11: 

When a number is divided by 4, it gives a quotient of 121 and the remainder is 1. 

What is the number? 

Solution: 

Rewriting the question into an equation: 

__________ \(\div \;4 = 121 \text{ R } 1\)

\(\begin{align}​​ 121 \times 4 &= 484\\ 484 + 1 &= 485 \end{align}\)

Answer:

485

Question 12: 

When a number is divided by 7, the quotient is 154 and the remainder is 4. What is the remainder when the same number is divided by 6? 

Solution:

Rewriting the question into equations: 

\(\begin{align} \text{_ _ _ _ _ _ _ _ _ _ } \div \;7 &= 154 \text{ R } 4 \\[2ex] \text{_ _ _ _ _ _ _ _ _ _ } \div \;6 &= \text{_ _ _ _ _ _ _ _ _ _ } \text{ R } \text{_ _ _ _ _ _ _ _ _ _ } \end{align}\)
 

Solving the first equation, 

\(\begin{align}​​ 154 \times 7 &= 1078\\ 1078 + 4 &= 1082 \end{align}\)

Now, solving the second equation,

\(1082 \div 6 = 180 \text{ R } 2 \)

Answer:

2

Question 13: 

Solve the following:

Which of the following is the correct answer?

1. 64
2. 132
3. 512
4. 1024

Solution:

 Looking at the first equation, 

\(\begin{align}​​\\[2ex] &= 32 \div 8\\[2ex] &= 4 \end{align}\)

Looking at the second equation

\(4\)	\(\times\)		\(=\)	\(2048\)
			\(=\)	\(2048 \div 4\)
			\(=\)	\(512\)
	\(+\)		\(=\)	\(512 + 512\)
			\(=\)	\(1024\)

Answer:

(4) 1024