How to solve ) 20208/824

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 ) 20208/824 | Equatix

Question

$$20208 \div 824$$

Evaluate

$\frac{2526}{103}\approx 24.524271845$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $20208$

$$\begin{array}{l}\phantom{824)}\phantom{1}\\824\overline{)20208}\\\end{array}$$

Since $2$ is less than $824$, use the next digit $0$ from dividend $20208$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{824)}0\phantom{2}\\824\overline{)20208}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $20208$

$$\begin{array}{l}\phantom{824)}0\phantom{3}\\824\overline{)20208}\\\end{array}$$

Since $20$ is less than $824$, use the next digit $2$ from dividend $20208$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{824)}00\phantom{4}\\824\overline{)20208}\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $20208$

$$\begin{array}{l}\phantom{824)}00\phantom{5}\\824\overline{)20208}\\\end{array}$$

Since $202$ is less than $824$, use the next digit $0$ from dividend $20208$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{824)}000\phantom{6}\\824\overline{)20208}\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $20208$

$$\begin{array}{l}\phantom{824)}000\phantom{7}\\824\overline{)20208}\\\end{array}$$

Find closest multiple of $824$ to $2020$. We see that $2 \times 824 = 1648$ is the nearest. Now subtract $1648$ from $2020$ to get reminder $372$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{824)}0002\phantom{8}\\824\overline{)20208}\\\phantom{824)}\underline{\phantom{}1648\phantom{9}}\\\phantom{824)9}372\\\end{array}$$

Use the $5^{th}$ digit $8$ from dividend $20208$

$$\begin{array}{l}\phantom{824)}0002\phantom{9}\\824\overline{)20208}\\\phantom{824)}\underline{\phantom{}1648\phantom{9}}\\\phantom{824)9}3728\\\end{array}$$

Find closest multiple of $824$ to $3728$. We see that $4 \times 824 = 3296$ is the nearest. Now subtract $3296$ from $3728$ to get reminder $432$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{824)}00024\phantom{10}\\824\overline{)20208}\\\phantom{824)}\underline{\phantom{}1648\phantom{9}}\\\phantom{824)9}3728\\\phantom{824)}\underline{\phantom{9}3296\phantom{}}\\\phantom{824)99}432\\\end{array}$$

Since $432$ is less than $824$, stop the division. The reminder is $432$. The topmost line $00024$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $24$.

$$\text{Quotient: }24$$ $$\text{Reminder: }432$$

Show Solution

Factor

$\frac{2 \cdot 3 \cdot 421}{103} = 24\frac{54}{103} = 24.524271844660195$

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Steps For Long Division Method

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