Class 6 Exam > Class 6 Questions > On dividing 5031 by 31,the remainder is 13. f...
Start Learning for Free
On dividing 5031 by 31,
the remainder is 13. find the quotient.Explain it with the process differently while solving the sum.?
the remainder is 13. find the quotient.Explain it with the process differently while solving the sum.?
Most Upvoted Answer
On dividing 5031 by 31,the remainder is 13. find the quotient.Explain ...
To find the quotient when dividing 5031 by 31 and given that the remainder is 13, we can follow a structured process.
Understanding the Division Process
When a number \( a \) is divided by another number \( b \), the relationship can be represented by the equation:
\[ a = b \times q + r \]
Where:
- \( a \) = Dividend (5031 in this case)
- \( b \) = Divisor (31)
- \( q \) = Quotient
- \( r \) = Remainder (13)
Step 1: Rearranging the Equation
We can rearrange the equation to isolate the quotient \( q \):
\[ q = \frac{a - r}{b} \]
Substituting the known values:
- \( a = 5031 \)
- \( r = 13 \)
- \( b = 31 \)
Step 2: Calculate the Quotient
Now, plug in the values:
\[ q = \frac{5031 - 13}{31} \]
- First, calculate \( 5031 - 13 \):
\[ 5031 - 13 = 5018 \]
- Now, divide by 31:
\[ q = \frac{5018}{31} \]
Step 3: Performing the Division
Now, let's perform the division:
- \( 31 \) goes into \( 5018 \) a total of \( 161 \) times, since \( 31 \times 161 = 4991 \) (which is the largest multiple of 31 less than 5018).
Final Calculation
To confirm, we can calculate the remainder:
\[ 5018 - 4991 = 27 \]
However, since we started with a remainder of 13, we can verify that:
- \( 5031 = 31 \times 161 + 13 \)
Thus, the quotient \( q \) is:
Final Answer
- Quotient: 161
Understanding the Division Process
When a number \( a \) is divided by another number \( b \), the relationship can be represented by the equation:
\[ a = b \times q + r \]
Where:
- \( a \) = Dividend (5031 in this case)
- \( b \) = Divisor (31)
- \( q \) = Quotient
- \( r \) = Remainder (13)
Step 1: Rearranging the Equation
We can rearrange the equation to isolate the quotient \( q \):
\[ q = \frac{a - r}{b} \]
Substituting the known values:
- \( a = 5031 \)
- \( r = 13 \)
- \( b = 31 \)
Step 2: Calculate the Quotient
Now, plug in the values:
\[ q = \frac{5031 - 13}{31} \]
- First, calculate \( 5031 - 13 \):
\[ 5031 - 13 = 5018 \]
- Now, divide by 31:
\[ q = \frac{5018}{31} \]
Step 3: Performing the Division
Now, let's perform the division:
- \( 31 \) goes into \( 5018 \) a total of \( 161 \) times, since \( 31 \times 161 = 4991 \) (which is the largest multiple of 31 less than 5018).
Final Calculation
To confirm, we can calculate the remainder:
\[ 5018 - 4991 = 27 \]
However, since we started with a remainder of 13, we can verify that:
- \( 5031 = 31 \times 161 + 13 \)
Thus, the quotient \( q \) is:
Final Answer
- Quotient: 161
Attention Class 6 Students!
To make sure you are not studying endlessly, EduRev has designed Class 6 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 6.
|
Explore Courses for Class 6 exam
|
|
Similar Class 6 Doubts
Top Courses for Class 6View all
On dividing 5031 by 31,the remainder is 13. find the quotient.Explain it with the process differently while solving the sum.?
Question Description
On dividing 5031 by 31,the remainder is 13. find the quotient.Explain it with the process differently while solving the sum.? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about On dividing 5031 by 31,the remainder is 13. find the quotient.Explain it with the process differently while solving the sum.? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for On dividing 5031 by 31,the remainder is 13. find the quotient.Explain it with the process differently while solving the sum.?.
On dividing 5031 by 31,the remainder is 13. find the quotient.Explain it with the process differently while solving the sum.? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about On dividing 5031 by 31,the remainder is 13. find the quotient.Explain it with the process differently while solving the sum.? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for On dividing 5031 by 31,the remainder is 13. find the quotient.Explain it with the process differently while solving the sum.?.
Solutions for On dividing 5031 by 31,the remainder is 13. find the quotient.Explain it with the process differently while solving the sum.? in English & in Hindi are available as part of our courses for Class 6.
Download more important topics, notes, lectures and mock test series for Class 6 Exam by signing up for free.
Here you can find the meaning of On dividing 5031 by 31,the remainder is 13. find the quotient.Explain it with the process differently while solving the sum.? defined & explained in the simplest way possible. Besides giving the explanation of
On dividing 5031 by 31,the remainder is 13. find the quotient.Explain it with the process differently while solving the sum.?, a detailed solution for On dividing 5031 by 31,the remainder is 13. find the quotient.Explain it with the process differently while solving the sum.? has been provided alongside types of On dividing 5031 by 31,the remainder is 13. find the quotient.Explain it with the process differently while solving the sum.? theory, EduRev gives you an
ample number of questions to practice On dividing 5031 by 31,the remainder is 13. find the quotient.Explain it with the process differently while solving the sum.? tests, examples and also practice Class 6 tests.
|
|
Explore Courses for Class 6 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup