To solve the division problem [tex]\(549 \div 134\)[/tex] step-by-step:
1. Start with the division setup:
We have the dividend [tex]\(549\)[/tex] and the divisor [tex]\(134\)[/tex]. We need to find how many times [tex]\(134\)[/tex] can be subtracted from [tex]\(549\)[/tex] without going negative, which is essentially finding the quotient and the remainder.
2. Determine the Quotient:
- Check how many whole times [tex]\(134\)[/tex] can fit into [tex]\(549\)[/tex].
- Considering [tex]\(134 \times 4 = 536\)[/tex] is the highest multiple of [tex]\(134\)[/tex] that does not exceed [tex]\(549\)[/tex], the quotient is [tex]\(4\)[/tex].
3. Multiply and Subtract:
- Multiply [tex]\(134 \times 4 = 536\)[/tex].
- Subtract this product from the dividend [tex]\(549\)[/tex]:
[tex]\[
549 - 536 = 13
\][/tex]
4. Conclusion:
- The quotient is [tex]\(4\)[/tex].
- The remainder is [tex]\(13\)[/tex].
Thus, the result of [tex]\(549 \div 134\)[/tex] is a quotient of [tex]\(4\)[/tex] with a remainder of [tex]\(13\)[/tex].
So, the division of [tex]\(549\)[/tex] by [tex]\(134\)[/tex] yields:
[tex]\[ 549 \div 134 = 4 \text{ remainder } 13 \][/tex]
or in another form:
[tex]\[ 549 = 134 \times 4 + 13 \][/tex]
