How to solve (40084)/(911)

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 (40084)/(911) | Equatix

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Question

$$\frac{ 40084 }{ 911 }$$

Evaluate

$44$

Steps For Long Division Method

Use the $1^{st}$ digit $4$ from dividend $40084$

$$\begin{array}{l}\phantom{911)}\phantom{1}\\911\overline{)40084}\\\end{array}$$

Since $4$ is less than $911$, use the next digit $0$ from dividend $40084$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{911)}0\phantom{2}\\911\overline{)40084}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $40084$

$$\begin{array}{l}\phantom{911)}0\phantom{3}\\911\overline{)40084}\\\end{array}$$

Since $40$ is less than $911$, use the next digit $0$ from dividend $40084$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{911)}00\phantom{4}\\911\overline{)40084}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $40084$

$$\begin{array}{l}\phantom{911)}00\phantom{5}\\911\overline{)40084}\\\end{array}$$

Since $400$ is less than $911$, use the next digit $8$ from dividend $40084$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{911)}000\phantom{6}\\911\overline{)40084}\\\end{array}$$

Use the $4^{th}$ digit $8$ from dividend $40084$

$$\begin{array}{l}\phantom{911)}000\phantom{7}\\911\overline{)40084}\\\end{array}$$

Find closest multiple of $911$ to $4008$. We see that $4 \times 911 = 3644$ is the nearest. Now subtract $3644$ from $4008$ to get reminder $364$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{911)}0004\phantom{8}\\911\overline{)40084}\\\phantom{911)}\underline{\phantom{}3644\phantom{9}}\\\phantom{911)9}364\\\end{array}$$

Use the $5^{th}$ digit $4$ from dividend $40084$

$$\begin{array}{l}\phantom{911)}0004\phantom{9}\\911\overline{)40084}\\\phantom{911)}\underline{\phantom{}3644\phantom{9}}\\\phantom{911)9}3644\\\end{array}$$

Find closest multiple of $911$ to $3644$. We see that $4 \times 911 = 3644$ is the nearest. Now subtract $3644$ from $3644$ to get reminder $0$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{911)}00044\phantom{10}\\911\overline{)40084}\\\phantom{911)}\underline{\phantom{}3644\phantom{9}}\\\phantom{911)9}3644\\\phantom{911)}\underline{\phantom{9}3644\phantom{}}\\\phantom{911)99999}0\\\end{array}$$

Since $0$ is less than $911$, stop the division. The reminder is $0$. The topmost line $00044$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $44$.

$$\text{Quotient: }44$$ $$\text{Reminder: }0$$

Show Solution

Factor

$2^{2}\times 11$