How to solve (9999)/(40)

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 (9999)/(40) | Equatix

Question

$$\frac{ 9999 }{ 40 }$$

Evaluate

$\frac{9999}{40}=249.975$

Steps For Long Division Method

Use the $1^{st}$ digit $9$ from dividend $9999$

$$\begin{array}{l}\phantom{40)}\phantom{1}\\40\overline{)9999}\\\end{array}$$

Since $9$ is less than $40$, use the next digit $9$ from dividend $9999$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{40)}0\phantom{2}\\40\overline{)9999}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $9999$

$$\begin{array}{l}\phantom{40)}0\phantom{3}\\40\overline{)9999}\\\end{array}$$

Find closest multiple of $40$ to $99$. We see that $2 \times 40 = 80$ is the nearest. Now subtract $80$ from $99$ to get reminder $19$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{40)}02\phantom{4}\\40\overline{)9999}\\\phantom{40)}\underline{\phantom{}80\phantom{99}}\\\phantom{40)}19\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $9999$

$$\begin{array}{l}\phantom{40)}02\phantom{5}\\40\overline{)9999}\\\phantom{40)}\underline{\phantom{}80\phantom{99}}\\\phantom{40)}199\\\end{array}$$

Find closest multiple of $40$ to $199$. We see that $4 \times 40 = 160$ is the nearest. Now subtract $160$ from $199$ to get reminder $39$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{40)}024\phantom{6}\\40\overline{)9999}\\\phantom{40)}\underline{\phantom{}80\phantom{99}}\\\phantom{40)}199\\\phantom{40)}\underline{\phantom{}160\phantom{9}}\\\phantom{40)9}39\\\end{array}$$

Use the $4^{th}$ digit $9$ from dividend $9999$

$$\begin{array}{l}\phantom{40)}024\phantom{7}\\40\overline{)9999}\\\phantom{40)}\underline{\phantom{}80\phantom{99}}\\\phantom{40)}199\\\phantom{40)}\underline{\phantom{}160\phantom{9}}\\\phantom{40)9}399\\\end{array}$$

Find closest multiple of $40$ to $399$. We see that $9 \times 40 = 360$ is the nearest. Now subtract $360$ from $399$ to get reminder $39$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{40)}0249\phantom{8}\\40\overline{)9999}\\\phantom{40)}\underline{\phantom{}80\phantom{99}}\\\phantom{40)}199\\\phantom{40)}\underline{\phantom{}160\phantom{9}}\\\phantom{40)9}399\\\phantom{40)}\underline{\phantom{9}360\phantom{}}\\\phantom{40)99}39\\\end{array}$$

Since $39$ is less than $40$, stop the division. The reminder is $39$. The topmost line $0249$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $249$.

$$\text{Quotient: }249$$ $$\text{Reminder: }39$$

Show Solution

Factor

$\frac{3 ^ {2} \cdot 11 \cdot 101}{2 ^ {3} \cdot 5} = 249\frac{39}{40} = 249.975$

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Steps For Long Division Method

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