Answer :
To solve the division problem [tex]\(62,479 \div 884\)[/tex], we'll break it down step by step to find the quotient and the remainder:
1. Estimate the Quotient: Begin by estimating how many times 884 can fit into 62,479. Since we're dividing large numbers, it's often helpful to compare the leading digits. In this case, you might consider how many times 884 can fit into 6247 (considering the first few digits).
2. Long Division: Perform the long division:
- Start from the leftmost digits of 62,479. See how many times 884 can fit into the leading part of the number.
- 884 fits into 6247 approximately 7 times, because [tex]\(884 \times 7 = 6,188\)[/tex].
- Subtract 6,188 from 6,247 to get 59.
- Bring down the next digit, making it 590.
- Determine how many times 884 fits into 590. It doesn't fit because 884 is larger than 590.
- Bring down the next digit from 62,479, making it 5990.
- 884 fits into 5990 approximately 6 times, because [tex]\(884 \times 6 = 5,304\)[/tex].
- Subtract 5,304 from 5,990 to get 686.
3. Final Quotient and Remainder: Complete the division to find:
- The quotient is 70.
- The remainder is 599 since 884 does not fit into 599.
Summarizing the division, the quotient is 70 and the remainder is 599. So [tex]\(62,479 \div 884 = 70\)[/tex] with a remainder [tex]\(R = 599\)[/tex].
1. Estimate the Quotient: Begin by estimating how many times 884 can fit into 62,479. Since we're dividing large numbers, it's often helpful to compare the leading digits. In this case, you might consider how many times 884 can fit into 6247 (considering the first few digits).
2. Long Division: Perform the long division:
- Start from the leftmost digits of 62,479. See how many times 884 can fit into the leading part of the number.
- 884 fits into 6247 approximately 7 times, because [tex]\(884 \times 7 = 6,188\)[/tex].
- Subtract 6,188 from 6,247 to get 59.
- Bring down the next digit, making it 590.
- Determine how many times 884 fits into 590. It doesn't fit because 884 is larger than 590.
- Bring down the next digit from 62,479, making it 5990.
- 884 fits into 5990 approximately 6 times, because [tex]\(884 \times 6 = 5,304\)[/tex].
- Subtract 5,304 from 5,990 to get 686.
3. Final Quotient and Remainder: Complete the division to find:
- The quotient is 70.
- The remainder is 599 since 884 does not fit into 599.
Summarizing the division, the quotient is 70 and the remainder is 599. So [tex]\(62,479 \div 884 = 70\)[/tex] with a remainder [tex]\(R = 599\)[/tex].
