To solve the division [tex]\( 51 \div 11 \)[/tex], you should follow these steps:
1. Set Up the Division:
Begin by identifying the dividend (51) and the divisor (11).
2. Perform the Division:
Find how many times the divisor (11) can be multiplied to approach the dividend (51) without exceeding it.
- First, determine how many whole times 11 fits into 51.
When you divide 51 by 11, the closest whole number that doesn't exceed 51 is 4 (since [tex]\( 11 \times 4 = 44 \)[/tex]).
3. Calculation of the Quotient:
After determining the whole number part of the quotient (4), you then consider the remainder.
Subtract [tex]\( 44 \)[/tex] (which is [tex]\( 11 \times 4 \)[/tex]) from 51, leaving a remainder of 7.
4. Computing the Exact Quotient:
To find the exact value of the quotient, you turn the remainder into a fraction. The remainder here is 7, and the original divisor is 11, so the fraction part is [tex]\( \frac{7}{11} \)[/tex].
Therefore, the quotient of [tex]\( 51 \div 11 \)[/tex] can be expressed as:
[tex]\[
4 + \frac{7}{11} = 4.636363636363637
\][/tex]
5. Conclusion:
The division [tex]\( 51 \div 11 \)[/tex] results in approximately:
[tex]\[
4.636363636363637
\][/tex]
