How to solve 82564835/35

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 82564835/35 | Equatix

Use the $1^{st}$ digit $8$ from dividend $82564835$

$$\begin{array}{l}\phantom{35)}\phantom{1}\\35\overline{)82564835}\\\end{array}$$

Since $8$ is less than $35$, use the next digit $2$ from dividend $82564835$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{35)}0\phantom{2}\\35\overline{)82564835}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $82564835$

$$\begin{array}{l}\phantom{35)}0\phantom{3}\\35\overline{)82564835}\\\end{array}$$

Find closest multiple of $35$ to $82$. We see that $2 \times 35 = 70$ is the nearest. Now subtract $70$ from $82$ to get reminder $12$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{35)}02\phantom{4}\\35\overline{)82564835}\\\phantom{35)}\underline{\phantom{}70\phantom{999999}}\\\phantom{35)}12\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $82564835$

$$\begin{array}{l}\phantom{35)}02\phantom{5}\\35\overline{)82564835}\\\phantom{35)}\underline{\phantom{}70\phantom{999999}}\\\phantom{35)}125\\\end{array}$$

Find closest multiple of $35$ to $125$. We see that $3 \times 35 = 105$ is the nearest. Now subtract $105$ from $125$ to get reminder $20$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{35)}023\phantom{6}\\35\overline{)82564835}\\\phantom{35)}\underline{\phantom{}70\phantom{999999}}\\\phantom{35)}125\\\phantom{35)}\underline{\phantom{}105\phantom{99999}}\\\phantom{35)9}20\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $82564835$

$$\begin{array}{l}\phantom{35)}023\phantom{7}\\35\overline{)82564835}\\\phantom{35)}\underline{\phantom{}70\phantom{999999}}\\\phantom{35)}125\\\phantom{35)}\underline{\phantom{}105\phantom{99999}}\\\phantom{35)9}206\\\end{array}$$

Find closest multiple of $35$ to $206$. We see that $5 \times 35 = 175$ is the nearest. Now subtract $175$ from $206$ to get reminder $31$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{35)}0235\phantom{8}\\35\overline{)82564835}\\\phantom{35)}\underline{\phantom{}70\phantom{999999}}\\\phantom{35)}125\\\phantom{35)}\underline{\phantom{}105\phantom{99999}}\\\phantom{35)9}206\\\phantom{35)}\underline{\phantom{9}175\phantom{9999}}\\\phantom{35)99}31\\\end{array}$$

Use the $5^{th}$ digit $4$ from dividend $82564835$

$$\begin{array}{l}\phantom{35)}0235\phantom{9}\\35\overline{)82564835}\\\phantom{35)}\underline{\phantom{}70\phantom{999999}}\\\phantom{35)}125\\\phantom{35)}\underline{\phantom{}105\phantom{99999}}\\\phantom{35)9}206\\\phantom{35)}\underline{\phantom{9}175\phantom{9999}}\\\phantom{35)99}314\\\end{array}$$

Find closest multiple of $35$ to $314$. We see that $8 \times 35 = 280$ is the nearest. Now subtract $280$ from $314$ to get reminder $34$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{35)}02358\phantom{10}\\35\overline{)82564835}\\\phantom{35)}\underline{\phantom{}70\phantom{999999}}\\\phantom{35)}125\\\phantom{35)}\underline{\phantom{}105\phantom{99999}}\\\phantom{35)9}206\\\phantom{35)}\underline{\phantom{9}175\phantom{9999}}\\\phantom{35)99}314\\\phantom{35)}\underline{\phantom{99}280\phantom{999}}\\\phantom{35)999}34\\\end{array}$$

Use the $6^{th}$ digit $8$ from dividend $82564835$

$$\begin{array}{l}\phantom{35)}02358\phantom{11}\\35\overline{)82564835}\\\phantom{35)}\underline{\phantom{}70\phantom{999999}}\\\phantom{35)}125\\\phantom{35)}\underline{\phantom{}105\phantom{99999}}\\\phantom{35)9}206\\\phantom{35)}\underline{\phantom{9}175\phantom{9999}}\\\phantom{35)99}314\\\phantom{35)}\underline{\phantom{99}280\phantom{999}}\\\phantom{35)999}348\\\end{array}$$

Find closest multiple of $35$ to $348$. We see that $9 \times 35 = 315$ is the nearest. Now subtract $315$ from $348$ to get reminder $33$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{35)}023589\phantom{12}\\35\overline{)82564835}\\\phantom{35)}\underline{\phantom{}70\phantom{999999}}\\\phantom{35)}125\\\phantom{35)}\underline{\phantom{}105\phantom{99999}}\\\phantom{35)9}206\\\phantom{35)}\underline{\phantom{9}175\phantom{9999}}\\\phantom{35)99}314\\\phantom{35)}\underline{\phantom{99}280\phantom{999}}\\\phantom{35)999}348\\\phantom{35)}\underline{\phantom{999}315\phantom{99}}\\\phantom{35)9999}33\\\end{array}$$

Use the $7^{th}$ digit $3$ from dividend $82564835$

$$\begin{array}{l}\phantom{35)}023589\phantom{13}\\35\overline{)82564835}\\\phantom{35)}\underline{\phantom{}70\phantom{999999}}\\\phantom{35)}125\\\phantom{35)}\underline{\phantom{}105\phantom{99999}}\\\phantom{35)9}206\\\phantom{35)}\underline{\phantom{9}175\phantom{9999}}\\\phantom{35)99}314\\\phantom{35)}\underline{\phantom{99}280\phantom{999}}\\\phantom{35)999}348\\\phantom{35)}\underline{\phantom{999}315\phantom{99}}\\\phantom{35)9999}333\\\end{array}$$

Find closest multiple of $35$ to $333$. We see that $9 \times 35 = 315$ is the nearest. Now subtract $315$ from $333$ to get reminder $18$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{35)}0235899\phantom{14}\\35\overline{)82564835}\\\phantom{35)}\underline{\phantom{}70\phantom{999999}}\\\phantom{35)}125\\\phantom{35)}\underline{\phantom{}105\phantom{99999}}\\\phantom{35)9}206\\\phantom{35)}\underline{\phantom{9}175\phantom{9999}}\\\phantom{35)99}314\\\phantom{35)}\underline{\phantom{99}280\phantom{999}}\\\phantom{35)999}348\\\phantom{35)}\underline{\phantom{999}315\phantom{99}}\\\phantom{35)9999}333\\\phantom{35)}\underline{\phantom{9999}315\phantom{9}}\\\phantom{35)99999}18\\\end{array}$$

Use the $8^{th}$ digit $5$ from dividend $82564835$

$$\begin{array}{l}\phantom{35)}0235899\phantom{15}\\35\overline{)82564835}\\\phantom{35)}\underline{\phantom{}70\phantom{999999}}\\\phantom{35)}125\\\phantom{35)}\underline{\phantom{}105\phantom{99999}}\\\phantom{35)9}206\\\phantom{35)}\underline{\phantom{9}175\phantom{9999}}\\\phantom{35)99}314\\\phantom{35)}\underline{\phantom{99}280\phantom{999}}\\\phantom{35)999}348\\\phantom{35)}\underline{\phantom{999}315\phantom{99}}\\\phantom{35)9999}333\\\phantom{35)}\underline{\phantom{9999}315\phantom{9}}\\\phantom{35)99999}185\\\end{array}$$

Find closest multiple of $35$ to $185$. We see that $5 \times 35 = 175$ is the nearest. Now subtract $175$ from $185$ to get reminder $10$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{35)}02358995\phantom{16}\\35\overline{)82564835}\\\phantom{35)}\underline{\phantom{}70\phantom{999999}}\\\phantom{35)}125\\\phantom{35)}\underline{\phantom{}105\phantom{99999}}\\\phantom{35)9}206\\\phantom{35)}\underline{\phantom{9}175\phantom{9999}}\\\phantom{35)99}314\\\phantom{35)}\underline{\phantom{99}280\phantom{999}}\\\phantom{35)999}348\\\phantom{35)}\underline{\phantom{999}315\phantom{99}}\\\phantom{35)9999}333\\\phantom{35)}\underline{\phantom{9999}315\phantom{9}}\\\phantom{35)99999}185\\\phantom{35)}\underline{\phantom{99999}175\phantom{}}\\\phantom{35)999999}10\\\end{array}$$

Since $10$ is less than $35$, stop the division. The reminder is $10$. The topmost line $02358995$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $2358995$.

$$\text{Quotient: }2358995$$ $$\text{Reminder: }10$$

Example

Question

Evaluate

Steps For Long Division Method

Factor

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Evaluate

Steps For Long Division Method

Factor