Answer :

To solve the division problem [tex]\( 280.291 \div 9.13 \)[/tex], here is a detailed, step-by-step explanation:

1. Identify the Dividend and Divisor:
- The dividend is the number being divided, which is [tex]\( 280.291 \)[/tex].
- The divisor is the number you are dividing by, which is [tex]\( 9.13 \)[/tex].

2. Division Process:
- First, determine how many times [tex]\( 9.13 \)[/tex] goes into [tex]\( 280.291 \)[/tex]. This is calculated by dividing [tex]\( 280.291 \)[/tex] by [tex]\( 9.13 \)[/tex].
- When you divide these numbers, you find that [tex]\( 9.13 \)[/tex] fits into [tex]\( 280.291 \)[/tex] approximately 30 times.

3. Determine the Quotient:
- The quotient is the whole number part of the division. In this case, it is 30.

4. Determine the Remainder:
- After multiplying the divisor (9.13) by the quotient (30), subtract the result from the original dividend to find the remainder.
- [tex]\( 9.13 \times 30 = 273.9 \)[/tex].
- Subtract this from the dividend: [tex]\( 280.291 - 273.9 = 6.391 \)[/tex].

So, when you divide [tex]\( 280.291 \)[/tex] by [tex]\( 9.13 \)[/tex], the quotient is 30, and the remainder is approximately [tex]\( 6.391 \)[/tex].

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