How to solve 34138/65

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 34138/65 | Equatix

Question

$$34138/65$$

Evaluate

$\frac{2626}{5}=525.2$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $34138$

$$\begin{array}{l}\phantom{65)}\phantom{1}\\65\overline{)34138}\\\end{array}$$

Since $3$ is less than $65$, use the next digit $4$ from dividend $34138$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{65)}0\phantom{2}\\65\overline{)34138}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $34138$

$$\begin{array}{l}\phantom{65)}0\phantom{3}\\65\overline{)34138}\\\end{array}$$

Since $34$ is less than $65$, use the next digit $1$ from dividend $34138$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{65)}00\phantom{4}\\65\overline{)34138}\\\end{array}$$

Use the $3^{rd}$ digit $1$ from dividend $34138$

$$\begin{array}{l}\phantom{65)}00\phantom{5}\\65\overline{)34138}\\\end{array}$$

Find closest multiple of $65$ to $341$. We see that $5 \times 65 = 325$ is the nearest. Now subtract $325$ from $341$ to get reminder $16$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{65)}005\phantom{6}\\65\overline{)34138}\\\phantom{65)}\underline{\phantom{}325\phantom{99}}\\\phantom{65)9}16\\\end{array}$$

Use the $4^{th}$ digit $3$ from dividend $34138$

$$\begin{array}{l}\phantom{65)}005\phantom{7}\\65\overline{)34138}\\\phantom{65)}\underline{\phantom{}325\phantom{99}}\\\phantom{65)9}163\\\end{array}$$

Find closest multiple of $65$ to $163$. We see that $2 \times 65 = 130$ is the nearest. Now subtract $130$ from $163$ to get reminder $33$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{65)}0052\phantom{8}\\65\overline{)34138}\\\phantom{65)}\underline{\phantom{}325\phantom{99}}\\\phantom{65)9}163\\\phantom{65)}\underline{\phantom{9}130\phantom{9}}\\\phantom{65)99}33\\\end{array}$$

Use the $5^{th}$ digit $8$ from dividend $34138$

$$\begin{array}{l}\phantom{65)}0052\phantom{9}\\65\overline{)34138}\\\phantom{65)}\underline{\phantom{}325\phantom{99}}\\\phantom{65)9}163\\\phantom{65)}\underline{\phantom{9}130\phantom{9}}\\\phantom{65)99}338\\\end{array}$$

Find closest multiple of $65$ to $338$. We see that $5 \times 65 = 325$ is the nearest. Now subtract $325$ from $338$ to get reminder $13$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{65)}00525\phantom{10}\\65\overline{)34138}\\\phantom{65)}\underline{\phantom{}325\phantom{99}}\\\phantom{65)9}163\\\phantom{65)}\underline{\phantom{9}130\phantom{9}}\\\phantom{65)99}338\\\phantom{65)}\underline{\phantom{99}325\phantom{}}\\\phantom{65)999}13\\\end{array}$$

Since $13$ is less than $65$, stop the division. The reminder is $13$. The topmost line $00525$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $525$.

$$\text{Quotient: }525$$ $$\text{Reminder: }13$$

Show Solution

Factor

$\frac{2 \cdot 13 \cdot 101}{5} = 525\frac{1}{5} = 525.2$

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Steps For Long Division Method

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