How to solve (8085)/(35)

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 (8085)/(35) | Equatix

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Question

$$\frac{ 8085 }{ 35 }$$

Evaluate

$231$

Steps For Long Division Method

Use the $1^{st}$ digit $8$ from dividend $8085$

$$\begin{array}{l}\phantom{35)}\phantom{1}\\35\overline{)8085}\\\end{array}$$

Since $8$ is less than $35$, use the next digit $0$ from dividend $8085$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{35)}0\phantom{2}\\35\overline{)8085}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $8085$

$$\begin{array}{l}\phantom{35)}0\phantom{3}\\35\overline{)8085}\\\end{array}$$

Find closest multiple of $35$ to $80$. We see that $2 \times 35 = 70$ is the nearest. Now subtract $70$ from $80$ to get reminder $10$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{35)}02\phantom{4}\\35\overline{)8085}\\\phantom{35)}\underline{\phantom{}70\phantom{99}}\\\phantom{35)}10\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $8085$

$$\begin{array}{l}\phantom{35)}02\phantom{5}\\35\overline{)8085}\\\phantom{35)}\underline{\phantom{}70\phantom{99}}\\\phantom{35)}108\\\end{array}$$

Find closest multiple of $35$ to $108$. We see that $3 \times 35 = 105$ is the nearest. Now subtract $105$ from $108$ to get reminder $3$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{35)}023\phantom{6}\\35\overline{)8085}\\\phantom{35)}\underline{\phantom{}70\phantom{99}}\\\phantom{35)}108\\\phantom{35)}\underline{\phantom{}105\phantom{9}}\\\phantom{35)99}3\\\end{array}$$

Use the $4^{th}$ digit $5$ from dividend $8085$

$$\begin{array}{l}\phantom{35)}023\phantom{7}\\35\overline{)8085}\\\phantom{35)}\underline{\phantom{}70\phantom{99}}\\\phantom{35)}108\\\phantom{35)}\underline{\phantom{}105\phantom{9}}\\\phantom{35)99}35\\\end{array}$$

Find closest multiple of $35$ to $35$. We see that $1 \times 35 = 35$ is the nearest. Now subtract $35$ from $35$ to get reminder $0$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{35)}0231\phantom{8}\\35\overline{)8085}\\\phantom{35)}\underline{\phantom{}70\phantom{99}}\\\phantom{35)}108\\\phantom{35)}\underline{\phantom{}105\phantom{9}}\\\phantom{35)99}35\\\phantom{35)}\underline{\phantom{99}35\phantom{}}\\\phantom{35)9999}0\\\end{array}$$

Since $0$ is less than $35$, stop the division. The reminder is $0$. The topmost line $0231$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $231$.

$$\text{Quotient: }231$$ $$\text{Reminder: }0$$

Show Solution

Factor

$3\times 7\times 11$