How to solve 45854/12

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 45854/12 | Equatix

Question

$$45854\div12$$

Evaluate

$\frac{22927}{6}\approx 3821.166666667$

Steps For Long Division Method

Use the $1^{st}$ digit $4$ from dividend $45854$

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)45854}\\\end{array}$$

Since $4$ is less than $12$, use the next digit $5$ from dividend $45854$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)45854}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $45854$

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)45854}\\\end{array}$$

Find closest multiple of $12$ to $45$. We see that $3 \times 12 = 36$ is the nearest. Now subtract $36$ from $45$ to get reminder $9$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{12)}03\phantom{4}\\12\overline{)45854}\\\phantom{12)}\underline{\phantom{}36\phantom{999}}\\\phantom{12)9}9\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $45854$

$$\begin{array}{l}\phantom{12)}03\phantom{5}\\12\overline{)45854}\\\phantom{12)}\underline{\phantom{}36\phantom{999}}\\\phantom{12)9}98\\\end{array}$$

Find closest multiple of $12$ to $98$. We see that $8 \times 12 = 96$ is the nearest. Now subtract $96$ from $98$ to get reminder $2$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{12)}038\phantom{6}\\12\overline{)45854}\\\phantom{12)}\underline{\phantom{}36\phantom{999}}\\\phantom{12)9}98\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}2\\\end{array}$$

Use the $4^{th}$ digit $5$ from dividend $45854$

$$\begin{array}{l}\phantom{12)}038\phantom{7}\\12\overline{)45854}\\\phantom{12)}\underline{\phantom{}36\phantom{999}}\\\phantom{12)9}98\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}25\\\end{array}$$

Find closest multiple of $12$ to $25$. We see that $2 \times 12 = 24$ is the nearest. Now subtract $24$ from $25$ to get reminder $1$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{12)}0382\phantom{8}\\12\overline{)45854}\\\phantom{12)}\underline{\phantom{}36\phantom{999}}\\\phantom{12)9}98\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}25\\\phantom{12)}\underline{\phantom{99}24\phantom{9}}\\\phantom{12)999}1\\\end{array}$$

Use the $5^{th}$ digit $4$ from dividend $45854$

$$\begin{array}{l}\phantom{12)}0382\phantom{9}\\12\overline{)45854}\\\phantom{12)}\underline{\phantom{}36\phantom{999}}\\\phantom{12)9}98\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}25\\\phantom{12)}\underline{\phantom{99}24\phantom{9}}\\\phantom{12)999}14\\\end{array}$$

Find closest multiple of $12$ to $14$. We see that $1 \times 12 = 12$ is the nearest. Now subtract $12$ from $14$ to get reminder $2$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{12)}03821\phantom{10}\\12\overline{)45854}\\\phantom{12)}\underline{\phantom{}36\phantom{999}}\\\phantom{12)9}98\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}25\\\phantom{12)}\underline{\phantom{99}24\phantom{9}}\\\phantom{12)999}14\\\phantom{12)}\underline{\phantom{999}12\phantom{}}\\\phantom{12)9999}2\\\end{array}$$

Since $2$ is less than $12$, stop the division. The reminder is $2$. The topmost line $03821$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $3821$.

$$\text{Quotient: }3821$$ $$\text{Reminder: }2$$

Show Solution

Factor

$\frac{101 \cdot 227}{2 \cdot 3} = 3821\frac{1}{6} = 3821.1666666666665$

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Steps For Long Division Method

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