How to solve 40012/12

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 40012/12 | Equatix

Question

$$40012\div12$$

Evaluate

$\frac{10003}{3}\approx 3334.333333333$

Steps For Long Division Method

Use the $1^{st}$ digit $4$ from dividend $40012$

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)40012}\\\end{array}$$

Since $4$ is less than $12$, use the next digit $0$ from dividend $40012$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)40012}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $40012$

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)40012}\\\end{array}$$

Find closest multiple of $12$ to $40$. We see that $3 \times 12 = 36$ is the nearest. Now subtract $36$ from $40$ to get reminder $4$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{12)}03\phantom{4}\\12\overline{)40012}\\\phantom{12)}\underline{\phantom{}36\phantom{999}}\\\phantom{12)9}4\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $40012$

$$\begin{array}{l}\phantom{12)}03\phantom{5}\\12\overline{)40012}\\\phantom{12)}\underline{\phantom{}36\phantom{999}}\\\phantom{12)9}40\\\end{array}$$

Find closest multiple of $12$ to $40$. We see that $3 \times 12 = 36$ is the nearest. Now subtract $36$ from $40$ to get reminder $4$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{12)}033\phantom{6}\\12\overline{)40012}\\\phantom{12)}\underline{\phantom{}36\phantom{999}}\\\phantom{12)9}40\\\phantom{12)}\underline{\phantom{9}36\phantom{99}}\\\phantom{12)99}4\\\end{array}$$

Use the $4^{th}$ digit $1$ from dividend $40012$

$$\begin{array}{l}\phantom{12)}033\phantom{7}\\12\overline{)40012}\\\phantom{12)}\underline{\phantom{}36\phantom{999}}\\\phantom{12)9}40\\\phantom{12)}\underline{\phantom{9}36\phantom{99}}\\\phantom{12)99}41\\\end{array}$$

Find closest multiple of $12$ to $41$. We see that $3 \times 12 = 36$ is the nearest. Now subtract $36$ from $41$ to get reminder $5$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{12)}0333\phantom{8}\\12\overline{)40012}\\\phantom{12)}\underline{\phantom{}36\phantom{999}}\\\phantom{12)9}40\\\phantom{12)}\underline{\phantom{9}36\phantom{99}}\\\phantom{12)99}41\\\phantom{12)}\underline{\phantom{99}36\phantom{9}}\\\phantom{12)999}5\\\end{array}$$

Use the $5^{th}$ digit $2$ from dividend $40012$

$$\begin{array}{l}\phantom{12)}0333\phantom{9}\\12\overline{)40012}\\\phantom{12)}\underline{\phantom{}36\phantom{999}}\\\phantom{12)9}40\\\phantom{12)}\underline{\phantom{9}36\phantom{99}}\\\phantom{12)99}41\\\phantom{12)}\underline{\phantom{99}36\phantom{9}}\\\phantom{12)999}52\\\end{array}$$

Find closest multiple of $12$ to $52$. We see that $4 \times 12 = 48$ is the nearest. Now subtract $48$ from $52$ to get reminder $4$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{12)}03334\phantom{10}\\12\overline{)40012}\\\phantom{12)}\underline{\phantom{}36\phantom{999}}\\\phantom{12)9}40\\\phantom{12)}\underline{\phantom{9}36\phantom{99}}\\\phantom{12)99}41\\\phantom{12)}\underline{\phantom{99}36\phantom{9}}\\\phantom{12)999}52\\\phantom{12)}\underline{\phantom{999}48\phantom{}}\\\phantom{12)9999}4\\\end{array}$$

Since $4$ is less than $12$, stop the division. The reminder is $4$. The topmost line $03334$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $3334$.

$$\text{Quotient: }3334$$ $$\text{Reminder: }4$$

Show Solution

Factor

$\frac{7 \cdot 1429}{3} = 3334\frac{1}{3} = 3334.3333333333335$

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Steps For Long Division Method

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