How to solve 33264/468

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 33264/468 | Equatix

Question

$$33264\div468$$

Evaluate

$\frac{924}{13}\approx 71.076923077$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $33264$

$$\begin{array}{l}\phantom{468)}\phantom{1}\\468\overline{)33264}\\\end{array}$$

Since $3$ is less than $468$, use the next digit $3$ from dividend $33264$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{468)}0\phantom{2}\\468\overline{)33264}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $33264$

$$\begin{array}{l}\phantom{468)}0\phantom{3}\\468\overline{)33264}\\\end{array}$$

Since $33$ is less than $468$, use the next digit $2$ from dividend $33264$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{468)}00\phantom{4}\\468\overline{)33264}\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $33264$

$$\begin{array}{l}\phantom{468)}00\phantom{5}\\468\overline{)33264}\\\end{array}$$

Since $332$ is less than $468$, use the next digit $6$ from dividend $33264$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{468)}000\phantom{6}\\468\overline{)33264}\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $33264$

$$\begin{array}{l}\phantom{468)}000\phantom{7}\\468\overline{)33264}\\\end{array}$$

Find closest multiple of $468$ to $3326$. We see that $7 \times 468 = 3276$ is the nearest. Now subtract $3276$ from $3326$ to get reminder $50$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{468)}0007\phantom{8}\\468\overline{)33264}\\\phantom{468)}\underline{\phantom{}3276\phantom{9}}\\\phantom{468)99}50\\\end{array}$$

Use the $5^{th}$ digit $4$ from dividend $33264$

$$\begin{array}{l}\phantom{468)}0007\phantom{9}\\468\overline{)33264}\\\phantom{468)}\underline{\phantom{}3276\phantom{9}}\\\phantom{468)99}504\\\end{array}$$

Find closest multiple of $468$ to $504$. We see that $1 \times 468 = 468$ is the nearest. Now subtract $468$ from $504$ to get reminder $36$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{468)}00071\phantom{10}\\468\overline{)33264}\\\phantom{468)}\underline{\phantom{}3276\phantom{9}}\\\phantom{468)99}504\\\phantom{468)}\underline{\phantom{99}468\phantom{}}\\\phantom{468)999}36\\\end{array}$$

Since $36$ is less than $468$, stop the division. The reminder is $36$. The topmost line $00071$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $71$.

$$\text{Quotient: }71$$ $$\text{Reminder: }36$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 3 \cdot 7 \cdot 11}{13} = 71\frac{1}{13} = 71.07692307692308$

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Steps For Long Division Method

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