How to solve (29029)/(465)

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 (29029)/(465) | Equatix

Question

$$\frac{ 29029 }{ 465 }$$

Evaluate

$\frac{29029}{465}\approx 62.427956989$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $29029$

$$\begin{array}{l}\phantom{465)}\phantom{1}\\465\overline{)29029}\\\end{array}$$

Since $2$ is less than $465$, use the next digit $9$ from dividend $29029$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{465)}0\phantom{2}\\465\overline{)29029}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $29029$

$$\begin{array}{l}\phantom{465)}0\phantom{3}\\465\overline{)29029}\\\end{array}$$

Since $29$ is less than $465$, use the next digit $0$ from dividend $29029$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{465)}00\phantom{4}\\465\overline{)29029}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $29029$

$$\begin{array}{l}\phantom{465)}00\phantom{5}\\465\overline{)29029}\\\end{array}$$

Since $290$ is less than $465$, use the next digit $2$ from dividend $29029$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{465)}000\phantom{6}\\465\overline{)29029}\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $29029$

$$\begin{array}{l}\phantom{465)}000\phantom{7}\\465\overline{)29029}\\\end{array}$$

Find closest multiple of $465$ to $2902$. We see that $6 \times 465 = 2790$ is the nearest. Now subtract $2790$ from $2902$ to get reminder $112$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{465)}0006\phantom{8}\\465\overline{)29029}\\\phantom{465)}\underline{\phantom{}2790\phantom{9}}\\\phantom{465)9}112\\\end{array}$$

Use the $5^{th}$ digit $9$ from dividend $29029$

$$\begin{array}{l}\phantom{465)}0006\phantom{9}\\465\overline{)29029}\\\phantom{465)}\underline{\phantom{}2790\phantom{9}}\\\phantom{465)9}1129\\\end{array}$$

Find closest multiple of $465$ to $1129$. We see that $2 \times 465 = 930$ is the nearest. Now subtract $930$ from $1129$ to get reminder $199$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{465)}00062\phantom{10}\\465\overline{)29029}\\\phantom{465)}\underline{\phantom{}2790\phantom{9}}\\\phantom{465)9}1129\\\phantom{465)}\underline{\phantom{99}930\phantom{}}\\\phantom{465)99}199\\\end{array}$$

Since $199$ is less than $465$, stop the division. The reminder is $199$. The topmost line $00062$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $62$.

$$\text{Quotient: }62$$ $$\text{Reminder: }199$$

Show Solution

Factor

$\frac{7 \cdot 11 \cdot 13 \cdot 29}{3 \cdot 5 \cdot 31} = 62\frac{199}{465} = 62.42795698924731$

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Steps For Long Division Method

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