How to solve c) 246802/53

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 c) 246802/53 | Equatix

Question

$$246802 \div 53$$

Evaluate

$\frac{246802}{53}\approx 4656.641509434$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $246802$

$$\begin{array}{l}\phantom{53)}\phantom{1}\\53\overline{)246802}\\\end{array}$$

Since $2$ is less than $53$, use the next digit $4$ from dividend $246802$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{53)}0\phantom{2}\\53\overline{)246802}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $246802$

$$\begin{array}{l}\phantom{53)}0\phantom{3}\\53\overline{)246802}\\\end{array}$$

Since $24$ is less than $53$, use the next digit $6$ from dividend $246802$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{53)}00\phantom{4}\\53\overline{)246802}\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $246802$

$$\begin{array}{l}\phantom{53)}00\phantom{5}\\53\overline{)246802}\\\end{array}$$

Find closest multiple of $53$ to $246$. We see that $4 \times 53 = 212$ is the nearest. Now subtract $212$ from $246$ to get reminder $34$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{53)}004\phantom{6}\\53\overline{)246802}\\\phantom{53)}\underline{\phantom{}212\phantom{999}}\\\phantom{53)9}34\\\end{array}$$

Use the $4^{th}$ digit $8$ from dividend $246802$

$$\begin{array}{l}\phantom{53)}004\phantom{7}\\53\overline{)246802}\\\phantom{53)}\underline{\phantom{}212\phantom{999}}\\\phantom{53)9}348\\\end{array}$$

Find closest multiple of $53$ to $348$. We see that $6 \times 53 = 318$ is the nearest. Now subtract $318$ from $348$ to get reminder $30$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{53)}0046\phantom{8}\\53\overline{)246802}\\\phantom{53)}\underline{\phantom{}212\phantom{999}}\\\phantom{53)9}348\\\phantom{53)}\underline{\phantom{9}318\phantom{99}}\\\phantom{53)99}30\\\end{array}$$

Use the $5^{th}$ digit $0$ from dividend $246802$

$$\begin{array}{l}\phantom{53)}0046\phantom{9}\\53\overline{)246802}\\\phantom{53)}\underline{\phantom{}212\phantom{999}}\\\phantom{53)9}348\\\phantom{53)}\underline{\phantom{9}318\phantom{99}}\\\phantom{53)99}300\\\end{array}$$

Find closest multiple of $53$ to $300$. We see that $5 \times 53 = 265$ is the nearest. Now subtract $265$ from $300$ to get reminder $35$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{53)}00465\phantom{10}\\53\overline{)246802}\\\phantom{53)}\underline{\phantom{}212\phantom{999}}\\\phantom{53)9}348\\\phantom{53)}\underline{\phantom{9}318\phantom{99}}\\\phantom{53)99}300\\\phantom{53)}\underline{\phantom{99}265\phantom{9}}\\\phantom{53)999}35\\\end{array}$$

Use the $6^{th}$ digit $2$ from dividend $246802$

$$\begin{array}{l}\phantom{53)}00465\phantom{11}\\53\overline{)246802}\\\phantom{53)}\underline{\phantom{}212\phantom{999}}\\\phantom{53)9}348\\\phantom{53)}\underline{\phantom{9}318\phantom{99}}\\\phantom{53)99}300\\\phantom{53)}\underline{\phantom{99}265\phantom{9}}\\\phantom{53)999}352\\\end{array}$$

Find closest multiple of $53$ to $352$. We see that $6 \times 53 = 318$ is the nearest. Now subtract $318$ from $352$ to get reminder $34$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{53)}004656\phantom{12}\\53\overline{)246802}\\\phantom{53)}\underline{\phantom{}212\phantom{999}}\\\phantom{53)9}348\\\phantom{53)}\underline{\phantom{9}318\phantom{99}}\\\phantom{53)99}300\\\phantom{53)}\underline{\phantom{99}265\phantom{9}}\\\phantom{53)999}352\\\phantom{53)}\underline{\phantom{999}318\phantom{}}\\\phantom{53)9999}34\\\end{array}$$

Since $34$ is less than $53$, stop the division. The reminder is $34$. The topmost line $004656$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $4656$.

$$\text{Quotient: }4656$$ $$\text{Reminder: }34$$

Show Solution

Factor

$\frac{2 \cdot 123401}{53} = 4656\frac{34}{53} = 4656.641509433963$

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Steps For Long Division Method

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