How to solve (815)/(23)

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 (815)/(23) | Equatix

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Question

$$\frac{ 815 }{ 23 }$$

Evaluate

$\frac{815}{23}\approx 35.434782609$

Steps For Long Division Method

Use the $1^{st}$ digit $8$ from dividend $815$

$$\begin{array}{l}\phantom{23)}\phantom{1}\\23\overline{)815}\\\end{array}$$

Since $8$ is less than $23$, use the next digit $1$ from dividend $815$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{23)}0\phantom{2}\\23\overline{)815}\\\end{array}$$

Use the $2^{nd}$ digit $1$ from dividend $815$

$$\begin{array}{l}\phantom{23)}0\phantom{3}\\23\overline{)815}\\\end{array}$$

Find closest multiple of $23$ to $81$. We see that $3 \times 23 = 69$ is the nearest. Now subtract $69$ from $81$ to get reminder $12$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{23)}03\phantom{4}\\23\overline{)815}\\\phantom{23)}\underline{\phantom{}69\phantom{9}}\\\phantom{23)}12\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $815$

$$\begin{array}{l}\phantom{23)}03\phantom{5}\\23\overline{)815}\\\phantom{23)}\underline{\phantom{}69\phantom{9}}\\\phantom{23)}125\\\end{array}$$

Find closest multiple of $23$ to $125$. We see that $5 \times 23 = 115$ is the nearest. Now subtract $115$ from $125$ to get reminder $10$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{23)}035\phantom{6}\\23\overline{)815}\\\phantom{23)}\underline{\phantom{}69\phantom{9}}\\\phantom{23)}125\\\phantom{23)}\underline{\phantom{}115\phantom{}}\\\phantom{23)9}10\\\end{array}$$

Since $10$ is less than $23$, stop the division. The reminder is $10$. The topmost line $035$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $35$.

$$\text{Quotient: }35$$ $$\text{Reminder: }10$$

Show Solution

Factor

$\frac{5 \cdot 163}{23} = 35\frac{10}{23} = 35.43478260869565$