To solve [tex]\(87 \div 5\)[/tex], we need to determine three main aspects:
1. The quotient: The result of the division expressed as a decimal.
2. The integer quotient: How many whole times 5 can fit into 87.
3. The remainder: What is left over after dividing 87 by 5 as many times as possible using whole numbers only.
### Step-by-Step Solution
1. Quotient (Decimal Result):
- Divide 87 by 5 to get the decimal quotient.
- [tex]\( 87 \div 5 = 17.4 \)[/tex]
- So, the decimal result of dividing 87 by 5 is [tex]\( 17.4 \)[/tex].
2. Integer Quotient:
- Determine how many whole times 5 can fit into 87.
- [tex]\( 5 \times 17 = 85 \)[/tex], which is the largest multiple of 5 less than or equal to 87.
- So, the integer quotient is [tex]\( 17 \)[/tex].
3. Remainder:
- After fitting 5 into 87 as many whole times as possible, calculate what is left.
- [tex]\( 87 - 85 = 2 \)[/tex]
- So, the remainder is [tex]\( 2 \)[/tex].
### Final Results
- Quotient (Decimal Result): [tex]\( 17.4 \)[/tex]
- Integer Quotient: [tex]\( 17 \)[/tex]
- Remainder: [tex]\( 2 \)[/tex]
Therefore, when you divide 87 by 5, the decimal quotient is [tex]\( 17.4 \)[/tex], the integer quotient is [tex]\( 17 \)[/tex], and the remainder is [tex]\( 2 \)[/tex].
