How to solve 14285642

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 14285642 | Equatix

Question

$$\frac { 85642 } { 42 }$$

Evaluate

$\frac{42821}{21}\approx 2039.095238095$

Steps For Long Division Method

Use the $1^{st}$ digit $8$ from dividend $85642$

$$\begin{array}{l}\phantom{42)}\phantom{1}\\42\overline{)85642}\\\end{array}$$

Since $8$ is less than $42$, use the next digit $5$ from dividend $85642$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{42)}0\phantom{2}\\42\overline{)85642}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $85642$

$$\begin{array}{l}\phantom{42)}0\phantom{3}\\42\overline{)85642}\\\end{array}$$

Find closest multiple of $42$ to $85$. We see that $2 \times 42 = 84$ is the nearest. Now subtract $84$ from $85$ to get reminder $1$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{42)}02\phantom{4}\\42\overline{)85642}\\\phantom{42)}\underline{\phantom{}84\phantom{999}}\\\phantom{42)9}1\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $85642$

$$\begin{array}{l}\phantom{42)}02\phantom{5}\\42\overline{)85642}\\\phantom{42)}\underline{\phantom{}84\phantom{999}}\\\phantom{42)9}16\\\end{array}$$

Since $16$ is less than $42$, use the next digit $4$ from dividend $85642$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{42)}020\phantom{6}\\42\overline{)85642}\\\phantom{42)}\underline{\phantom{}84\phantom{999}}\\\phantom{42)9}16\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $85642$

$$\begin{array}{l}\phantom{42)}020\phantom{7}\\42\overline{)85642}\\\phantom{42)}\underline{\phantom{}84\phantom{999}}\\\phantom{42)9}164\\\end{array}$$

Find closest multiple of $42$ to $164$. We see that $3 \times 42 = 126$ is the nearest. Now subtract $126$ from $164$ to get reminder $38$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{42)}0203\phantom{8}\\42\overline{)85642}\\\phantom{42)}\underline{\phantom{}84\phantom{999}}\\\phantom{42)9}164\\\phantom{42)}\underline{\phantom{9}126\phantom{9}}\\\phantom{42)99}38\\\end{array}$$

Use the $5^{th}$ digit $2$ from dividend $85642$

$$\begin{array}{l}\phantom{42)}0203\phantom{9}\\42\overline{)85642}\\\phantom{42)}\underline{\phantom{}84\phantom{999}}\\\phantom{42)9}164\\\phantom{42)}\underline{\phantom{9}126\phantom{9}}\\\phantom{42)99}382\\\end{array}$$

Find closest multiple of $42$ to $382$. We see that $9 \times 42 = 378$ is the nearest. Now subtract $378$ from $382$ to get reminder $4$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{42)}02039\phantom{10}\\42\overline{)85642}\\\phantom{42)}\underline{\phantom{}84\phantom{999}}\\\phantom{42)9}164\\\phantom{42)}\underline{\phantom{9}126\phantom{9}}\\\phantom{42)99}382\\\phantom{42)}\underline{\phantom{99}378\phantom{}}\\\phantom{42)9999}4\\\end{array}$$

Since $4$ is less than $42$, stop the division. The reminder is $4$. The topmost line $02039$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $2039$.

$$\text{Quotient: }2039$$ $$\text{Reminder: }4$$

Show Solution

Factor

$\frac{42821}{3 \cdot 7} = 2039\frac{2}{21} = 2039.095238095238$

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Steps For Long Division Method

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