How to solve 2999/365

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 2999/365 | Equatix

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Question

$$2999\div365$$

Evaluate

$\frac{2999}{365}\approx 8.216438356$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $2999$

$$\begin{array}{l}\phantom{365)}\phantom{1}\\365\overline{)2999}\\\end{array}$$

Since $2$ is less than $365$, use the next digit $9$ from dividend $2999$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{365)}0\phantom{2}\\365\overline{)2999}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $2999$

$$\begin{array}{l}\phantom{365)}0\phantom{3}\\365\overline{)2999}\\\end{array}$$

Since $29$ is less than $365$, use the next digit $9$ from dividend $2999$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{365)}00\phantom{4}\\365\overline{)2999}\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $2999$

$$\begin{array}{l}\phantom{365)}00\phantom{5}\\365\overline{)2999}\\\end{array}$$

Since $299$ is less than $365$, use the next digit $9$ from dividend $2999$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{365)}000\phantom{6}\\365\overline{)2999}\\\end{array}$$

Use the $4^{th}$ digit $9$ from dividend $2999$

$$\begin{array}{l}\phantom{365)}000\phantom{7}\\365\overline{)2999}\\\end{array}$$

Find closest multiple of $365$ to $2999$. We see that $8 \times 365 = 2920$ is the nearest. Now subtract $2920$ from $2999$ to get reminder $79$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{365)}0008\phantom{8}\\365\overline{)2999}\\\phantom{365)}\underline{\phantom{}2920\phantom{}}\\\phantom{365)99}79\\\end{array}$$

Since $79$ is less than $365$, stop the division. The reminder is $79$. The topmost line $0008$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $8$.

$$\text{Quotient: }8$$ $$\text{Reminder: }79$$

Show Solution

Factor

$\frac{2999}{5 \cdot 73} = 8\frac{79}{365} = 8.216438356164383$