How to solve (23987)/(323)

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 (23987)/(323) | Equatix

Question

$$\frac{ 23987 }{ 323 }$$

Evaluate

$\frac{1411}{19}\approx 74.263157895$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $23987$

$$\begin{array}{l}\phantom{323)}\phantom{1}\\323\overline{)23987}\\\end{array}$$

Since $2$ is less than $323$, use the next digit $3$ from dividend $23987$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{323)}0\phantom{2}\\323\overline{)23987}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $23987$

$$\begin{array}{l}\phantom{323)}0\phantom{3}\\323\overline{)23987}\\\end{array}$$

Since $23$ is less than $323$, use the next digit $9$ from dividend $23987$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{323)}00\phantom{4}\\323\overline{)23987}\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $23987$

$$\begin{array}{l}\phantom{323)}00\phantom{5}\\323\overline{)23987}\\\end{array}$$

Since $239$ is less than $323$, use the next digit $8$ from dividend $23987$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{323)}000\phantom{6}\\323\overline{)23987}\\\end{array}$$

Use the $4^{th}$ digit $8$ from dividend $23987$

$$\begin{array}{l}\phantom{323)}000\phantom{7}\\323\overline{)23987}\\\end{array}$$

Find closest multiple of $323$ to $2398$. We see that $7 \times 323 = 2261$ is the nearest. Now subtract $2261$ from $2398$ to get reminder $137$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{323)}0007\phantom{8}\\323\overline{)23987}\\\phantom{323)}\underline{\phantom{}2261\phantom{9}}\\\phantom{323)9}137\\\end{array}$$

Use the $5^{th}$ digit $7$ from dividend $23987$

$$\begin{array}{l}\phantom{323)}0007\phantom{9}\\323\overline{)23987}\\\phantom{323)}\underline{\phantom{}2261\phantom{9}}\\\phantom{323)9}1377\\\end{array}$$

Find closest multiple of $323$ to $1377$. We see that $4 \times 323 = 1292$ is the nearest. Now subtract $1292$ from $1377$ to get reminder $85$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{323)}00074\phantom{10}\\323\overline{)23987}\\\phantom{323)}\underline{\phantom{}2261\phantom{9}}\\\phantom{323)9}1377\\\phantom{323)}\underline{\phantom{9}1292\phantom{}}\\\phantom{323)999}85\\\end{array}$$

Since $85$ is less than $323$, stop the division. The reminder is $85$. The topmost line $00074$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $74$.

$$\text{Quotient: }74$$ $$\text{Reminder: }85$$

Show Solution

Factor

$\frac{17 \cdot 83}{19} = 74\frac{5}{19} = 74.26315789473684$

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Steps For Long Division Method

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