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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.?
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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
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On dividing 5031 by 31,the remainder is 13. find the quotient.Explain it with the process differently while solving the sum.?
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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.?.
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