How to solve ( b ) 52369/443

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 ( b ) 52369/443 | Equatix

Question

$$52369 \div 443$$

Evaluate

$\frac{52369}{443}\approx 118.214446953$

Steps For Long Division Method

Use the $1^{st}$ digit $5$ from dividend $52369$

$$\begin{array}{l}\phantom{443)}\phantom{1}\\443\overline{)52369}\\\end{array}$$

Since $5$ is less than $443$, use the next digit $2$ from dividend $52369$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{443)}0\phantom{2}\\443\overline{)52369}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $52369$

$$\begin{array}{l}\phantom{443)}0\phantom{3}\\443\overline{)52369}\\\end{array}$$

Since $52$ is less than $443$, use the next digit $3$ from dividend $52369$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{443)}00\phantom{4}\\443\overline{)52369}\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $52369$

$$\begin{array}{l}\phantom{443)}00\phantom{5}\\443\overline{)52369}\\\end{array}$$

Find closest multiple of $443$ to $523$. We see that $1 \times 443 = 443$ is the nearest. Now subtract $443$ from $523$ to get reminder $80$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{443)}001\phantom{6}\\443\overline{)52369}\\\phantom{443)}\underline{\phantom{}443\phantom{99}}\\\phantom{443)9}80\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $52369$

$$\begin{array}{l}\phantom{443)}001\phantom{7}\\443\overline{)52369}\\\phantom{443)}\underline{\phantom{}443\phantom{99}}\\\phantom{443)9}806\\\end{array}$$

Find closest multiple of $443$ to $806$. We see that $1 \times 443 = 443$ is the nearest. Now subtract $443$ from $806$ to get reminder $363$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{443)}0011\phantom{8}\\443\overline{)52369}\\\phantom{443)}\underline{\phantom{}443\phantom{99}}\\\phantom{443)9}806\\\phantom{443)}\underline{\phantom{9}443\phantom{9}}\\\phantom{443)9}363\\\end{array}$$

Use the $5^{th}$ digit $9$ from dividend $52369$

$$\begin{array}{l}\phantom{443)}0011\phantom{9}\\443\overline{)52369}\\\phantom{443)}\underline{\phantom{}443\phantom{99}}\\\phantom{443)9}806\\\phantom{443)}\underline{\phantom{9}443\phantom{9}}\\\phantom{443)9}3639\\\end{array}$$

Find closest multiple of $443$ to $3639$. We see that $8 \times 443 = 3544$ is the nearest. Now subtract $3544$ from $3639$ to get reminder $95$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{443)}00118\phantom{10}\\443\overline{)52369}\\\phantom{443)}\underline{\phantom{}443\phantom{99}}\\\phantom{443)9}806\\\phantom{443)}\underline{\phantom{9}443\phantom{9}}\\\phantom{443)9}3639\\\phantom{443)}\underline{\phantom{9}3544\phantom{}}\\\phantom{443)999}95\\\end{array}$$

Since $95$ is less than $443$, stop the division. The reminder is $95$. The topmost line $00118$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $118$.

$$\text{Quotient: }118$$ $$\text{Reminder: }95$$

Show Solution

Factor

$\frac{52369}{443} = 118\frac{95}{443} = 118.21444695259594$

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Steps For Long Division Method

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