How to solve (229)/(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 (229)/(41) | Equatix

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Question

$$\frac{ 229 }{ 41 }$$

Evaluate

$\frac{229}{41}\approx 5.585365854$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $229$

$$\begin{array}{l}\phantom{41)}\phantom{1}\\41\overline{)229}\\\end{array}$$

Since $2$ is less than $41$, use the next digit $2$ from dividend $229$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{41)}0\phantom{2}\\41\overline{)229}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $229$

$$\begin{array}{l}\phantom{41)}0\phantom{3}\\41\overline{)229}\\\end{array}$$

Since $22$ is less than $41$, use the next digit $9$ from dividend $229$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{41)}00\phantom{4}\\41\overline{)229}\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $229$

$$\begin{array}{l}\phantom{41)}00\phantom{5}\\41\overline{)229}\\\end{array}$$

Find closest multiple of $41$ to $229$. We see that $5 \times 41 = 205$ is the nearest. Now subtract $205$ from $229$ to get reminder $24$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{41)}005\phantom{6}\\41\overline{)229}\\\phantom{41)}\underline{\phantom{}205\phantom{}}\\\phantom{41)9}24\\\end{array}$$

Since $24$ is less than $41$, stop the division. The reminder is $24$. The topmost line $005$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $5$.

$$\text{Quotient: }5$$ $$\text{Reminder: }24$$

Show Solution

Factor

$\frac{229}{41} = 5\frac{24}{41} = 5.585365853658536$