How to solve 69825/725

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 69825/725 | Equatix

Question

$$69825\div725$$

Evaluate

$\frac{2793}{29}\approx 96.310344828$

Steps For Long Division Method

Use the $1^{st}$ digit $6$ from dividend $69825$

$$\begin{array}{l}\phantom{725)}\phantom{1}\\725\overline{)69825}\\\end{array}$$

Since $6$ is less than $725$, use the next digit $9$ from dividend $69825$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{725)}0\phantom{2}\\725\overline{)69825}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $69825$

$$\begin{array}{l}\phantom{725)}0\phantom{3}\\725\overline{)69825}\\\end{array}$$

Since $69$ is less than $725$, use the next digit $8$ from dividend $69825$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{725)}00\phantom{4}\\725\overline{)69825}\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $69825$

$$\begin{array}{l}\phantom{725)}00\phantom{5}\\725\overline{)69825}\\\end{array}$$

Since $698$ is less than $725$, use the next digit $2$ from dividend $69825$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{725)}000\phantom{6}\\725\overline{)69825}\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $69825$

$$\begin{array}{l}\phantom{725)}000\phantom{7}\\725\overline{)69825}\\\end{array}$$

Find closest multiple of $725$ to $6982$. We see that $9 \times 725 = 6525$ is the nearest. Now subtract $6525$ from $6982$ to get reminder $457$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{725)}0009\phantom{8}\\725\overline{)69825}\\\phantom{725)}\underline{\phantom{}6525\phantom{9}}\\\phantom{725)9}457\\\end{array}$$

Use the $5^{th}$ digit $5$ from dividend $69825$

$$\begin{array}{l}\phantom{725)}0009\phantom{9}\\725\overline{)69825}\\\phantom{725)}\underline{\phantom{}6525\phantom{9}}\\\phantom{725)9}4575\\\end{array}$$

Find closest multiple of $725$ to $4575$. We see that $6 \times 725 = 4350$ is the nearest. Now subtract $4350$ from $4575$ to get reminder $225$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{725)}00096\phantom{10}\\725\overline{)69825}\\\phantom{725)}\underline{\phantom{}6525\phantom{9}}\\\phantom{725)9}4575\\\phantom{725)}\underline{\phantom{9}4350\phantom{}}\\\phantom{725)99}225\\\end{array}$$

Since $225$ is less than $725$, stop the division. The reminder is $225$. The topmost line $00096$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $96$.

$$\text{Quotient: }96$$ $$\text{Reminder: }225$$

Show Solution

Factor

$\frac{3 \cdot 7 ^ {2} \cdot 19}{29} = 96\frac{9}{29} = 96.3103448275862$

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Steps For Long Division Method

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