How to solve 684676/36

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 684676/36 | Equatix

Use the $1^{st}$ digit $6$ from dividend $684676$

$$\begin{array}{l}\phantom{36)}\phantom{1}\\36\overline{)684676}\\\end{array}$$

Since $6$ is less than $36$, use the next digit $8$ from dividend $684676$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{36)}0\phantom{2}\\36\overline{)684676}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $684676$

$$\begin{array}{l}\phantom{36)}0\phantom{3}\\36\overline{)684676}\\\end{array}$$

Find closest multiple of $36$ to $68$. We see that $1 \times 36 = 36$ is the nearest. Now subtract $36$ from $68$ to get reminder $32$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{36)}01\phantom{4}\\36\overline{)684676}\\\phantom{36)}\underline{\phantom{}36\phantom{9999}}\\\phantom{36)}32\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $684676$

$$\begin{array}{l}\phantom{36)}01\phantom{5}\\36\overline{)684676}\\\phantom{36)}\underline{\phantom{}36\phantom{9999}}\\\phantom{36)}324\\\end{array}$$

Find closest multiple of $36$ to $324$. We see that $9 \times 36 = 324$ is the nearest. Now subtract $324$ from $324$ to get reminder $0$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{36)}019\phantom{6}\\36\overline{)684676}\\\phantom{36)}\underline{\phantom{}36\phantom{9999}}\\\phantom{36)}324\\\phantom{36)}\underline{\phantom{}324\phantom{999}}\\\phantom{36)999}0\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $684676$

$$\begin{array}{l}\phantom{36)}019\phantom{7}\\36\overline{)684676}\\\phantom{36)}\underline{\phantom{}36\phantom{9999}}\\\phantom{36)}324\\\phantom{36)}\underline{\phantom{}324\phantom{999}}\\\phantom{36)999}6\\\end{array}$$

Since $6$ is less than $36$, use the next digit $7$ from dividend $684676$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{36)}0190\phantom{8}\\36\overline{)684676}\\\phantom{36)}\underline{\phantom{}36\phantom{9999}}\\\phantom{36)}324\\\phantom{36)}\underline{\phantom{}324\phantom{999}}\\\phantom{36)999}6\\\end{array}$$

Use the $5^{th}$ digit $7$ from dividend $684676$

$$\begin{array}{l}\phantom{36)}0190\phantom{9}\\36\overline{)684676}\\\phantom{36)}\underline{\phantom{}36\phantom{9999}}\\\phantom{36)}324\\\phantom{36)}\underline{\phantom{}324\phantom{999}}\\\phantom{36)999}67\\\end{array}$$

Find closest multiple of $36$ to $67$. We see that $1 \times 36 = 36$ is the nearest. Now subtract $36$ from $67$ to get reminder $31$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{36)}01901\phantom{10}\\36\overline{)684676}\\\phantom{36)}\underline{\phantom{}36\phantom{9999}}\\\phantom{36)}324\\\phantom{36)}\underline{\phantom{}324\phantom{999}}\\\phantom{36)999}67\\\phantom{36)}\underline{\phantom{999}36\phantom{9}}\\\phantom{36)999}31\\\end{array}$$

Use the $6^{th}$ digit $6$ from dividend $684676$

$$\begin{array}{l}\phantom{36)}01901\phantom{11}\\36\overline{)684676}\\\phantom{36)}\underline{\phantom{}36\phantom{9999}}\\\phantom{36)}324\\\phantom{36)}\underline{\phantom{}324\phantom{999}}\\\phantom{36)999}67\\\phantom{36)}\underline{\phantom{999}36\phantom{9}}\\\phantom{36)999}316\\\end{array}$$

Find closest multiple of $36$ to $316$. We see that $8 \times 36 = 288$ is the nearest. Now subtract $288$ from $316$ to get reminder $28$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{36)}019018\phantom{12}\\36\overline{)684676}\\\phantom{36)}\underline{\phantom{}36\phantom{9999}}\\\phantom{36)}324\\\phantom{36)}\underline{\phantom{}324\phantom{999}}\\\phantom{36)999}67\\\phantom{36)}\underline{\phantom{999}36\phantom{9}}\\\phantom{36)999}316\\\phantom{36)}\underline{\phantom{999}288\phantom{}}\\\phantom{36)9999}28\\\end{array}$$

Since $28$ is less than $36$, stop the division. The reminder is $28$. The topmost line $019018$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $19018$.

$$\text{Quotient: }19018$$ $$\text{Reminder: }28$$

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