How to solve (148)/(31)

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 (148)/(31) | Equatix

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Question

$$\frac{ 148 }{ 31 }$$

Evaluate

$\frac{148}{31}\approx 4.774193548$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $148$

$$\begin{array}{l}\phantom{31)}\phantom{1}\\31\overline{)148}\\\end{array}$$

Since $1$ is less than $31$, use the next digit $4$ from dividend $148$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{31)}0\phantom{2}\\31\overline{)148}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $148$

$$\begin{array}{l}\phantom{31)}0\phantom{3}\\31\overline{)148}\\\end{array}$$

Since $14$ is less than $31$, use the next digit $8$ from dividend $148$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{31)}00\phantom{4}\\31\overline{)148}\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $148$

$$\begin{array}{l}\phantom{31)}00\phantom{5}\\31\overline{)148}\\\end{array}$$

Find closest multiple of $31$ to $148$. We see that $4 \times 31 = 124$ is the nearest. Now subtract $124$ from $148$ to get reminder $24$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{31)}004\phantom{6}\\31\overline{)148}\\\phantom{31)}\underline{\phantom{}124\phantom{}}\\\phantom{31)9}24\\\end{array}$$

Since $24$ is less than $31$, stop the division. The reminder is $24$. The topmost line $004$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $4$.

$$\text{Quotient: }4$$ $$\text{Reminder: }24$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 37}{31} = 4\frac{24}{31} = 4.774193548387097$