How to solve (257)/(41)

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve (257)/(41) | Equatix

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Question

$$\frac{ 257 }{ 41 }$$

Evaluate

$\frac{257}{41}\approx 6.268292683$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $257$

$$\begin{array}{l}\phantom{41)}\phantom{1}\\41\overline{)257}\\\end{array}$$

Since $2$ is less than $41$, use the next digit $5$ from dividend $257$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{41)}0\phantom{2}\\41\overline{)257}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $257$

$$\begin{array}{l}\phantom{41)}0\phantom{3}\\41\overline{)257}\\\end{array}$$

Since $25$ is less than $41$, use the next digit $7$ from dividend $257$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{41)}00\phantom{4}\\41\overline{)257}\\\end{array}$$

Use the $3^{rd}$ digit $7$ from dividend $257$

$$\begin{array}{l}\phantom{41)}00\phantom{5}\\41\overline{)257}\\\end{array}$$

Find closest multiple of $41$ to $257$. We see that $6 \times 41 = 246$ is the nearest. Now subtract $246$ from $257$ to get reminder $11$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{41)}006\phantom{6}\\41\overline{)257}\\\phantom{41)}\underline{\phantom{}246\phantom{}}\\\phantom{41)9}11\\\end{array}$$

Since $11$ is less than $41$, stop the division. The reminder is $11$. The topmost line $006$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $6$.

$$\text{Quotient: }6$$ $$\text{Reminder: }11$$

Show Solution

Factor

$\frac{257}{41} = 6\frac{11}{41} = 6.2682926829268295$