How to solve = 12153 990

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 = 12153 990 | Equatix

Question

$$=\frac{12153}{990}$$

Evaluate

$\frac{4051}{330}\approx 12.275757576$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $12153$

$$\begin{array}{l}\phantom{990)}\phantom{1}\\990\overline{)12153}\\\end{array}$$

Since $1$ is less than $990$, use the next digit $2$ from dividend $12153$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{990)}0\phantom{2}\\990\overline{)12153}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $12153$

$$\begin{array}{l}\phantom{990)}0\phantom{3}\\990\overline{)12153}\\\end{array}$$

Since $12$ is less than $990$, use the next digit $1$ from dividend $12153$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{990)}00\phantom{4}\\990\overline{)12153}\\\end{array}$$

Use the $3^{rd}$ digit $1$ from dividend $12153$

$$\begin{array}{l}\phantom{990)}00\phantom{5}\\990\overline{)12153}\\\end{array}$$

Since $121$ is less than $990$, use the next digit $5$ from dividend $12153$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{990)}000\phantom{6}\\990\overline{)12153}\\\end{array}$$

Use the $4^{th}$ digit $5$ from dividend $12153$

$$\begin{array}{l}\phantom{990)}000\phantom{7}\\990\overline{)12153}\\\end{array}$$

Find closest multiple of $990$ to $1215$. We see that $1 \times 990 = 990$ is the nearest. Now subtract $990$ from $1215$ to get reminder $225$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{990)}0001\phantom{8}\\990\overline{)12153}\\\phantom{990)}\underline{\phantom{9}990\phantom{9}}\\\phantom{990)9}225\\\end{array}$$

Use the $5^{th}$ digit $3$ from dividend $12153$

$$\begin{array}{l}\phantom{990)}0001\phantom{9}\\990\overline{)12153}\\\phantom{990)}\underline{\phantom{9}990\phantom{9}}\\\phantom{990)9}2253\\\end{array}$$

Find closest multiple of $990$ to $2253$. We see that $2 \times 990 = 1980$ is the nearest. Now subtract $1980$ from $2253$ to get reminder $273$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{990)}00012\phantom{10}\\990\overline{)12153}\\\phantom{990)}\underline{\phantom{9}990\phantom{9}}\\\phantom{990)9}2253\\\phantom{990)}\underline{\phantom{9}1980\phantom{}}\\\phantom{990)99}273\\\end{array}$$

Since $273$ is less than $990$, stop the division. The reminder is $273$. The topmost line $00012$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $12$.

$$\text{Quotient: }12$$ $$\text{Reminder: }273$$

Show Solution

Factor

$\frac{4051}{2 \cdot 3 \cdot 5 \cdot 11} = 12\frac{91}{330} = 12.275757575757575$

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Steps For Long Division Method

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