How to solve (25896)/(333)

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 (25896)/(333) | Equatix

Question

$$\frac{ 25896 }{ 333 }$$

Evaluate

$\frac{8632}{111}\approx 77.765765766$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $25896$

$$\begin{array}{l}\phantom{333)}\phantom{1}\\333\overline{)25896}\\\end{array}$$

Since $2$ is less than $333$, use the next digit $5$ from dividend $25896$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{333)}0\phantom{2}\\333\overline{)25896}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $25896$

$$\begin{array}{l}\phantom{333)}0\phantom{3}\\333\overline{)25896}\\\end{array}$$

Since $25$ is less than $333$, use the next digit $8$ from dividend $25896$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{333)}00\phantom{4}\\333\overline{)25896}\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $25896$

$$\begin{array}{l}\phantom{333)}00\phantom{5}\\333\overline{)25896}\\\end{array}$$

Since $258$ is less than $333$, use the next digit $9$ from dividend $25896$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{333)}000\phantom{6}\\333\overline{)25896}\\\end{array}$$

Use the $4^{th}$ digit $9$ from dividend $25896$

$$\begin{array}{l}\phantom{333)}000\phantom{7}\\333\overline{)25896}\\\end{array}$$

Find closest multiple of $333$ to $2589$. We see that $7 \times 333 = 2331$ is the nearest. Now subtract $2331$ from $2589$ to get reminder $258$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{333)}0007\phantom{8}\\333\overline{)25896}\\\phantom{333)}\underline{\phantom{}2331\phantom{9}}\\\phantom{333)9}258\\\end{array}$$

Use the $5^{th}$ digit $6$ from dividend $25896$

$$\begin{array}{l}\phantom{333)}0007\phantom{9}\\333\overline{)25896}\\\phantom{333)}\underline{\phantom{}2331\phantom{9}}\\\phantom{333)9}2586\\\end{array}$$

Find closest multiple of $333$ to $2586$. We see that $7 \times 333 = 2331$ is the nearest. Now subtract $2331$ from $2586$ to get reminder $255$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{333)}00077\phantom{10}\\333\overline{)25896}\\\phantom{333)}\underline{\phantom{}2331\phantom{9}}\\\phantom{333)9}2586\\\phantom{333)}\underline{\phantom{9}2331\phantom{}}\\\phantom{333)99}255\\\end{array}$$

Since $255$ is less than $333$, stop the division. The reminder is $255$. The topmost line $00077$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $77$.

$$\text{Quotient: }77$$ $$\text{Reminder: }255$$

Show Solution

Factor

$\frac{2 ^ {3} \cdot 13 \cdot 83}{3 \cdot 37} = 77\frac{85}{111} = 77.76576576576576$

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Steps For Long Division Method

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