Answer :
To solve the division problem [tex]\(484 \div 141860\)[/tex], follow these steps:
1. Set Up the Division: Place 141860 inside the division symbol and 484 outside. We're looking to divide 141860 by 484.
2. Estimate Quotients: Start by focusing on the leading digits in 141860 to determine how many times 484 can fit into various sections of the number.
3. Divide the Number:
- Look at 1418 (the first four digits), as 484 is a three-digit number. Estimate how many times 484 fits into 1418.
- 484 fits into 1418 approximately 2 times [since 484 [tex]\(\times\)[/tex] 2 = 968].
4. Calculate the Remainder:
- Subtract 968 from 1418, which leaves a remainder of 450.
- Bring down the next digit, which is 6, making the new dividend 4506.
5. Continue the Division:
- Determine how many times 484 can fit into 4506.
- 484 fits into 4506 approximately 9 times [since 484 [tex]\(\times\)[/tex] 9 = 4356].
6. Calculate the New Remainder:
- Subtract 4356 from 4506, which gives a remainder of 150.
- Bring down the final digit, 0, making it 1500.
7. Final Division:
- Calculate how many times 484 can fit into 1500.
- 484 fits into 1500 approximately 3 times [since 484 [tex]\(\times\)[/tex] 3 = 1452].
8. Calculate the Final Remainder:
- Subtract 1452 from 1500, which leaves a remainder of 48.
Thus, the final answer is that 141860 divided by 484 gives a quotient of 293 and a remainder of 48.
1. Set Up the Division: Place 141860 inside the division symbol and 484 outside. We're looking to divide 141860 by 484.
2. Estimate Quotients: Start by focusing on the leading digits in 141860 to determine how many times 484 can fit into various sections of the number.
3. Divide the Number:
- Look at 1418 (the first four digits), as 484 is a three-digit number. Estimate how many times 484 fits into 1418.
- 484 fits into 1418 approximately 2 times [since 484 [tex]\(\times\)[/tex] 2 = 968].
4. Calculate the Remainder:
- Subtract 968 from 1418, which leaves a remainder of 450.
- Bring down the next digit, which is 6, making the new dividend 4506.
5. Continue the Division:
- Determine how many times 484 can fit into 4506.
- 484 fits into 4506 approximately 9 times [since 484 [tex]\(\times\)[/tex] 9 = 4356].
6. Calculate the New Remainder:
- Subtract 4356 from 4506, which gives a remainder of 150.
- Bring down the final digit, 0, making it 1500.
7. Final Division:
- Calculate how many times 484 can fit into 1500.
- 484 fits into 1500 approximately 3 times [since 484 [tex]\(\times\)[/tex] 3 = 1452].
8. Calculate the Final Remainder:
- Subtract 1452 from 1500, which leaves a remainder of 48.
Thus, the final answer is that 141860 divided by 484 gives a quotient of 293 and a remainder of 48.
