Expand your knowledge base with the help of IDNLearn.com's extensive answer archive. Get comprehensive and trustworthy answers to all your questions from our knowledgeable community members.
Sagot :
Of course! Let's solve the division [tex]\( 17864 \div 44 \)[/tex] step by step.
1. Identify the initial digits:
- Start by looking at the first three digits of the number [tex]\(17864\)[/tex], which are [tex]\(178\)[/tex].
- Determine how many times [tex]\(44\)[/tex] can fit into [tex]\(178\)[/tex].
2. First division:
- [tex]\(44\)[/tex] goes into [tex]\(178\)[/tex] a certain number of times.
- To find this, we calculate [tex]\(178 \div 44\)[/tex], which gets us 4 because [tex]\(44 \times 4 = 176\)[/tex] and [tex]\(44 \times 5 = 220\)[/tex] (which is too large).
3. Subtract and bring down next digit:
- Subtract [tex]\(176\)[/tex] from [tex]\(178\)[/tex], resulting in a remainder: [tex]\(178 - 176 = 2\)[/tex].
- Bring down the next digit from [tex]\(17864\)[/tex], which is [tex]\(6\)[/tex]. This gives us [tex]\(26\)[/tex].
4. Second division:
- Determine how many times [tex]\(44\)[/tex] can fit into [tex]\(26\)[/tex].
- Since [tex]\(26\)[/tex] is less than [tex]\(44\)[/tex], [tex]\(44\)[/tex] does not fit into [tex]\(26\)[/tex], so we write [tex]\(0\)[/tex] in the quotient.
5. Bring down next digit:
- Bring down the next digit from [tex]\(17864\)[/tex], which is [tex]\(4\)[/tex]. This gives us [tex]\(260\)[/tex].
6. Third division:
- Determine how many times [tex]\(44\)[/tex] fits into [tex]\(260\)[/tex].
- Calculate [tex]\(260 \div 44\)[/tex], which is approximately 5. [tex]\(44 \times 5 = 220\)[/tex], so [tex]\(44\)[/tex] can fit into [tex]\(260\)[/tex] [tex]\(5\)[/tex] times.
7. Subtract:
- Subtract [tex]\(220\)[/tex] from [tex]\(260\)[/tex], resulting in a remainder: [tex]\(260 - 220 = 40\)[/tex].
8. Final remainder:
- Bring down the final digit [tex]\(4\)[/tex] from [tex]\(17864\)[/tex], making it [tex]\(400\)[/tex].
- Determine how many times [tex]\(44\)[/tex] fits into [tex]\(400\)[/tex].
- Calculate [tex]\(400 \div 44 = 9.09...\)[/tex], so a fit of 9.
- Multiplying, [tex]\(44 \times 9 = 396\)[/tex].
9. Final subtraction:
- Subtract [tex]\(396\)[/tex] from [tex]\(400\)[/tex], resulting in [tex]\(400 - 396 = 4\)[/tex].
Putting all the digits together, we get a quotient of 406 and a remainder of 0.
Therefore, the final answer is:
Quotient: 406, Remainder: 0.
1. Identify the initial digits:
- Start by looking at the first three digits of the number [tex]\(17864\)[/tex], which are [tex]\(178\)[/tex].
- Determine how many times [tex]\(44\)[/tex] can fit into [tex]\(178\)[/tex].
2. First division:
- [tex]\(44\)[/tex] goes into [tex]\(178\)[/tex] a certain number of times.
- To find this, we calculate [tex]\(178 \div 44\)[/tex], which gets us 4 because [tex]\(44 \times 4 = 176\)[/tex] and [tex]\(44 \times 5 = 220\)[/tex] (which is too large).
3. Subtract and bring down next digit:
- Subtract [tex]\(176\)[/tex] from [tex]\(178\)[/tex], resulting in a remainder: [tex]\(178 - 176 = 2\)[/tex].
- Bring down the next digit from [tex]\(17864\)[/tex], which is [tex]\(6\)[/tex]. This gives us [tex]\(26\)[/tex].
4. Second division:
- Determine how many times [tex]\(44\)[/tex] can fit into [tex]\(26\)[/tex].
- Since [tex]\(26\)[/tex] is less than [tex]\(44\)[/tex], [tex]\(44\)[/tex] does not fit into [tex]\(26\)[/tex], so we write [tex]\(0\)[/tex] in the quotient.
5. Bring down next digit:
- Bring down the next digit from [tex]\(17864\)[/tex], which is [tex]\(4\)[/tex]. This gives us [tex]\(260\)[/tex].
6. Third division:
- Determine how many times [tex]\(44\)[/tex] fits into [tex]\(260\)[/tex].
- Calculate [tex]\(260 \div 44\)[/tex], which is approximately 5. [tex]\(44 \times 5 = 220\)[/tex], so [tex]\(44\)[/tex] can fit into [tex]\(260\)[/tex] [tex]\(5\)[/tex] times.
7. Subtract:
- Subtract [tex]\(220\)[/tex] from [tex]\(260\)[/tex], resulting in a remainder: [tex]\(260 - 220 = 40\)[/tex].
8. Final remainder:
- Bring down the final digit [tex]\(4\)[/tex] from [tex]\(17864\)[/tex], making it [tex]\(400\)[/tex].
- Determine how many times [tex]\(44\)[/tex] fits into [tex]\(400\)[/tex].
- Calculate [tex]\(400 \div 44 = 9.09...\)[/tex], so a fit of 9.
- Multiplying, [tex]\(44 \times 9 = 396\)[/tex].
9. Final subtraction:
- Subtract [tex]\(396\)[/tex] from [tex]\(400\)[/tex], resulting in [tex]\(400 - 396 = 4\)[/tex].
Putting all the digits together, we get a quotient of 406 and a remainder of 0.
Therefore, the final answer is:
Quotient: 406, Remainder: 0.
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Your search for solutions ends at IDNLearn.com. Thank you for visiting, and we look forward to helping you again.
