Answer :
To solve the division problem [tex]\(62,813 \div 11\)[/tex] and express it in the form of a quotient and remainder, follow these steps:
1. Estimate the Quotient: Start by estimating how many times 11 fits into 62,813. You can do this by considering the first few digits.
2. Divide Step by Step:
- Begin with the leading digits. For instance, consider how many times 11 goes into 62. It fits 5 times since [tex]\(11 \times 5 = 55\)[/tex], and subtracting gives a remainder of 7.
- Bring down the next digit to make it 78 (from 628).
- Divide 78 by 11, which gives 7 because [tex]\(11 \times 7 = 77\)[/tex]. Subtract 77 from 78 to get a remainder of 1.
- Bring down the next digit to make it 18.
- Divide 18 by 11, which gives 1 because [tex]\(11 \times 1 = 11\)[/tex]. Subtract 11 from 18 to get a remainder of 7.
- Bring down the next digit, which is 3, making it 73.
- Divide 73 by 11, which gives 6 because [tex]\(11 \times 6 = 66\)[/tex]. Subtract 66 from 73 to get a remainder of 7.
3. Find the Quotient: By compiling all the results from our long division steps, the quotient is 5710.
4. Determine the Remainder: After the final step, the remainder is 3.
Therefore, the result of dividing 62,813 by 11 is 5710 with a remainder of 3.
So, the answer is [tex]\( 5710 \, \text{R} \, 3 \)[/tex].
1. Estimate the Quotient: Start by estimating how many times 11 fits into 62,813. You can do this by considering the first few digits.
2. Divide Step by Step:
- Begin with the leading digits. For instance, consider how many times 11 goes into 62. It fits 5 times since [tex]\(11 \times 5 = 55\)[/tex], and subtracting gives a remainder of 7.
- Bring down the next digit to make it 78 (from 628).
- Divide 78 by 11, which gives 7 because [tex]\(11 \times 7 = 77\)[/tex]. Subtract 77 from 78 to get a remainder of 1.
- Bring down the next digit to make it 18.
- Divide 18 by 11, which gives 1 because [tex]\(11 \times 1 = 11\)[/tex]. Subtract 11 from 18 to get a remainder of 7.
- Bring down the next digit, which is 3, making it 73.
- Divide 73 by 11, which gives 6 because [tex]\(11 \times 6 = 66\)[/tex]. Subtract 66 from 73 to get a remainder of 7.
3. Find the Quotient: By compiling all the results from our long division steps, the quotient is 5710.
4. Determine the Remainder: After the final step, the remainder is 3.
Therefore, the result of dividing 62,813 by 11 is 5710 with a remainder of 3.
So, the answer is [tex]\( 5710 \, \text{R} \, 3 \)[/tex].
