How to Solve Division by a One Digit Number with Steps
Division is the inverse mathematical action of multiplication. We divide a number into equal parts when we divide it. Division is the process of repeatedly subtracting integers. Let us look at a real-life example to learn more about this. Assume you need to give 30 candies among 3 of your buddies in an equitable manner. To ensure that each child receives an equal quantity of candy, divide 30 by the number of friends, which is 3. This is how division functions.
Division By 1 Digit Number
A division equation can be expressed in two ways: sentence form and lengthy division form. Basic arithmetic procedures are employed in the long-division approach. The dividend is the number that is split into equal groups in this case. The divisor is the number of groups by which the dividend is split, and the quotient is the result of the division.
The remainder is a significant portion of a division equation since it is the part that remains after the division operation is completed. The remainder in the preceding case is zero since there is no integer left over.
Example of Division 2-Digit By 1 Digit
One Digit Division Sums
Let us take another example of division 2-digit by 1-digit to understand it better.
Example 1: Let's divide 65 by 5.
Step One: The first digit 6 is greater than the divisor (5). So we can directly use 5 in this case and subtract 5 from 6. This will give us the remainder as 1 and the quotient as 1.
Step Two: Bring down the next digit and form a new number with the remainder. The new number is 15.
Step Three: 15 is directly divisible by 5 as 5 multiplied by 3 is 15. After their subtraction, we will get the remainder as 0 and the new quotient will be 13.
Example of Division of 2 Digit Number By 1 Digit
Example 2: Divide 2782 by 3.
Step One: The first digit is less than the divisor which will not be divisible by 3 so we need to take the next digit. 27 is divisible by 3. So we subtract 27 by 27 and get the remainder as 0 and the quotient as 9.
Step Two: Let's take the next digit down. 8 is now subtracted by 6 which leaves us with the remainder of 2 and the new quotient becomes 92.
Step Three: The next digit 2 is now brought down and the new number becomes 22. This can be subtracted from 21 which comes in table 3. We get the remainder as 1. And the quotient is 927.
Division Example
Conclusion
The one-digit division is the easiest type of division. The one-digit divisor can range from 1 to 9. The basis of the division is to find multiple, subtract, bring down the next digit and repeat. A one-digit division is much easier than a two and three-digit division.
Sample Questions
1. If there are 55 pencils to be distributed among 5 people. How many pencils would each one get?
a. 30
b. 40
c. 3
d. 11
Ans: 11
Explanation: Step one: Find the multiple of the first digit and subtract it from that.
Step two: Bring down the next digit and find the multiple of the new number formed.
Step three: The remainder comes out to be 0.
Division of 55 By 5
2. Divide 120 by 4.
a. 30
b. 40
c. 3
d. 10
Ans: 30
Explanation: As 4 when multiplied by 3 gives us 12 so 12 is divisible by 4. This will give us a remainder of 0. As the next digit is also 0 the new number is 0 and 4 when multiplied by 0 will give us 0. Making the quotient 30.
3. We need to distribute 369 candies among 9 students. Each student will receive.
a. 40
b. 41
c. 42
d. 43
Ans: 41
Explanation: total number of candies is 369.
The number of students is 9.
Each student will get 41 candies.
Division of 369 By 9
FAQs on One Digit Division Explained with Simple Methods
1. What is one digit division in maths?
One digit division is the process of dividing a number by a single-digit divisor (1–9). It involves splitting a number into equal parts using short division or long division methods. For example, dividing 24 by 6 means finding how many groups of 6 are in 24, which equals 4.
2. How do you divide by a one digit number?
To divide by a one digit number, divide each place value step-by-step using the short division method.
- Step 1: Divide the first digit by the divisor.
- Step 2: Write the quotient above.
- Step 3: Multiply and subtract.
- Step 4: Bring down the next digit and repeat.
3. What is an example of one digit division?
An example of one digit division is 56 ÷ 8 = 7. In this calculation, 8 fits into 56 exactly 7 times. Since 8 × 7 = 56, the quotient is 7 and there is no remainder.
4. What is the formula for division?
The basic formula for division is Dividend ÷ Divisor = Quotient. It can also be written as:
- Dividend = Divisor × Quotient + Remainder
5. What is a remainder in one digit division?
A remainder is the amount left over when a number cannot be divided exactly by a one digit divisor. For example, 29 ÷ 4 = 7 remainder 1 because 4 × 7 = 28 and 29 − 28 = 1.
6. How do you do one digit division with remainders?
To do one digit division with remainders, divide as usual and record any leftover value as the remainder.
- Divide the number.
- Multiply the divisor by the quotient.
- Subtract from the dividend.
- The leftover is the remainder.
7. What is the difference between short division and long division?
The difference is that short division is a compact method used for simple one digit divisors, while long division shows every step clearly.
- Short division: Quick method, steps done mentally.
- Long division: Written step-by-step process.
8. Can you divide any number by a one digit number?
Yes, any whole number can be divided by a one digit number except 0. Division by zero is undefined. For example, 100 ÷ 5 = 20, but 100 ÷ 0 is not possible in mathematics.
9. How do you check your answer in one digit division?
You check one digit division by multiplying the quotient by the divisor and adding the remainder. Use the formula:
- Divisor × Quotient + Remainder = Dividend
10. What are common mistakes in one digit division?
Common mistakes in one digit division include place value errors and incorrect subtraction.
- Forgetting to bring down the next digit.
- Multiplying incorrectly.
- Ignoring the remainder.
- Dividing by 0 (which is undefined).
