How to solve 97648336/67

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 97648336/67 | Equatix

Use the $1^{st}$ digit $9$ from dividend $97648336$

$$\begin{array}{l}\phantom{67)}\phantom{1}\\67\overline{)97648336}\\\end{array}$$

Since $9$ is less than $67$, use the next digit $7$ from dividend $97648336$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{67)}0\phantom{2}\\67\overline{)97648336}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $97648336$

$$\begin{array}{l}\phantom{67)}0\phantom{3}\\67\overline{)97648336}\\\end{array}$$

Find closest multiple of $67$ to $97$. We see that $1 \times 67 = 67$ is the nearest. Now subtract $67$ from $97$ to get reminder $30$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{67)}01\phantom{4}\\67\overline{)97648336}\\\phantom{67)}\underline{\phantom{}67\phantom{999999}}\\\phantom{67)}30\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $97648336$

$$\begin{array}{l}\phantom{67)}01\phantom{5}\\67\overline{)97648336}\\\phantom{67)}\underline{\phantom{}67\phantom{999999}}\\\phantom{67)}306\\\end{array}$$

Find closest multiple of $67$ to $306$. We see that $4 \times 67 = 268$ is the nearest. Now subtract $268$ from $306$ to get reminder $38$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{67)}014\phantom{6}\\67\overline{)97648336}\\\phantom{67)}\underline{\phantom{}67\phantom{999999}}\\\phantom{67)}306\\\phantom{67)}\underline{\phantom{}268\phantom{99999}}\\\phantom{67)9}38\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $97648336$

$$\begin{array}{l}\phantom{67)}014\phantom{7}\\67\overline{)97648336}\\\phantom{67)}\underline{\phantom{}67\phantom{999999}}\\\phantom{67)}306\\\phantom{67)}\underline{\phantom{}268\phantom{99999}}\\\phantom{67)9}384\\\end{array}$$

Find closest multiple of $67$ to $384$. We see that $5 \times 67 = 335$ is the nearest. Now subtract $335$ from $384$ to get reminder $49$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{67)}0145\phantom{8}\\67\overline{)97648336}\\\phantom{67)}\underline{\phantom{}67\phantom{999999}}\\\phantom{67)}306\\\phantom{67)}\underline{\phantom{}268\phantom{99999}}\\\phantom{67)9}384\\\phantom{67)}\underline{\phantom{9}335\phantom{9999}}\\\phantom{67)99}49\\\end{array}$$

Use the $5^{th}$ digit $8$ from dividend $97648336$

$$\begin{array}{l}\phantom{67)}0145\phantom{9}\\67\overline{)97648336}\\\phantom{67)}\underline{\phantom{}67\phantom{999999}}\\\phantom{67)}306\\\phantom{67)}\underline{\phantom{}268\phantom{99999}}\\\phantom{67)9}384\\\phantom{67)}\underline{\phantom{9}335\phantom{9999}}\\\phantom{67)99}498\\\end{array}$$

Find closest multiple of $67$ to $498$. We see that $7 \times 67 = 469$ is the nearest. Now subtract $469$ from $498$ to get reminder $29$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{67)}01457\phantom{10}\\67\overline{)97648336}\\\phantom{67)}\underline{\phantom{}67\phantom{999999}}\\\phantom{67)}306\\\phantom{67)}\underline{\phantom{}268\phantom{99999}}\\\phantom{67)9}384\\\phantom{67)}\underline{\phantom{9}335\phantom{9999}}\\\phantom{67)99}498\\\phantom{67)}\underline{\phantom{99}469\phantom{999}}\\\phantom{67)999}29\\\end{array}$$

Use the $6^{th}$ digit $3$ from dividend $97648336$

$$\begin{array}{l}\phantom{67)}01457\phantom{11}\\67\overline{)97648336}\\\phantom{67)}\underline{\phantom{}67\phantom{999999}}\\\phantom{67)}306\\\phantom{67)}\underline{\phantom{}268\phantom{99999}}\\\phantom{67)9}384\\\phantom{67)}\underline{\phantom{9}335\phantom{9999}}\\\phantom{67)99}498\\\phantom{67)}\underline{\phantom{99}469\phantom{999}}\\\phantom{67)999}293\\\end{array}$$

Find closest multiple of $67$ to $293$. We see that $4 \times 67 = 268$ is the nearest. Now subtract $268$ from $293$ to get reminder $25$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{67)}014574\phantom{12}\\67\overline{)97648336}\\\phantom{67)}\underline{\phantom{}67\phantom{999999}}\\\phantom{67)}306\\\phantom{67)}\underline{\phantom{}268\phantom{99999}}\\\phantom{67)9}384\\\phantom{67)}\underline{\phantom{9}335\phantom{9999}}\\\phantom{67)99}498\\\phantom{67)}\underline{\phantom{99}469\phantom{999}}\\\phantom{67)999}293\\\phantom{67)}\underline{\phantom{999}268\phantom{99}}\\\phantom{67)9999}25\\\end{array}$$

Use the $7^{th}$ digit $3$ from dividend $97648336$

$$\begin{array}{l}\phantom{67)}014574\phantom{13}\\67\overline{)97648336}\\\phantom{67)}\underline{\phantom{}67\phantom{999999}}\\\phantom{67)}306\\\phantom{67)}\underline{\phantom{}268\phantom{99999}}\\\phantom{67)9}384\\\phantom{67)}\underline{\phantom{9}335\phantom{9999}}\\\phantom{67)99}498\\\phantom{67)}\underline{\phantom{99}469\phantom{999}}\\\phantom{67)999}293\\\phantom{67)}\underline{\phantom{999}268\phantom{99}}\\\phantom{67)9999}253\\\end{array}$$

Find closest multiple of $67$ to $253$. We see that $3 \times 67 = 201$ is the nearest. Now subtract $201$ from $253$ to get reminder $52$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{67)}0145743\phantom{14}\\67\overline{)97648336}\\\phantom{67)}\underline{\phantom{}67\phantom{999999}}\\\phantom{67)}306\\\phantom{67)}\underline{\phantom{}268\phantom{99999}}\\\phantom{67)9}384\\\phantom{67)}\underline{\phantom{9}335\phantom{9999}}\\\phantom{67)99}498\\\phantom{67)}\underline{\phantom{99}469\phantom{999}}\\\phantom{67)999}293\\\phantom{67)}\underline{\phantom{999}268\phantom{99}}\\\phantom{67)9999}253\\\phantom{67)}\underline{\phantom{9999}201\phantom{9}}\\\phantom{67)99999}52\\\end{array}$$

Use the $8^{th}$ digit $6$ from dividend $97648336$

$$\begin{array}{l}\phantom{67)}0145743\phantom{15}\\67\overline{)97648336}\\\phantom{67)}\underline{\phantom{}67\phantom{999999}}\\\phantom{67)}306\\\phantom{67)}\underline{\phantom{}268\phantom{99999}}\\\phantom{67)9}384\\\phantom{67)}\underline{\phantom{9}335\phantom{9999}}\\\phantom{67)99}498\\\phantom{67)}\underline{\phantom{99}469\phantom{999}}\\\phantom{67)999}293\\\phantom{67)}\underline{\phantom{999}268\phantom{99}}\\\phantom{67)9999}253\\\phantom{67)}\underline{\phantom{9999}201\phantom{9}}\\\phantom{67)99999}526\\\end{array}$$

Find closest multiple of $67$ to $526$. We see that $7 \times 67 = 469$ is the nearest. Now subtract $469$ from $526$ to get reminder $57$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{67)}01457437\phantom{16}\\67\overline{)97648336}\\\phantom{67)}\underline{\phantom{}67\phantom{999999}}\\\phantom{67)}306\\\phantom{67)}\underline{\phantom{}268\phantom{99999}}\\\phantom{67)9}384\\\phantom{67)}\underline{\phantom{9}335\phantom{9999}}\\\phantom{67)99}498\\\phantom{67)}\underline{\phantom{99}469\phantom{999}}\\\phantom{67)999}293\\\phantom{67)}\underline{\phantom{999}268\phantom{99}}\\\phantom{67)9999}253\\\phantom{67)}\underline{\phantom{9999}201\phantom{9}}\\\phantom{67)99999}526\\\phantom{67)}\underline{\phantom{99999}469\phantom{}}\\\phantom{67)999999}57\\\end{array}$$

Since $57$ is less than $67$, stop the division. The reminder is $57$. The topmost line $01457437$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1457437$.

$$\text{Quotient: }1457437$$ $$\text{Reminder: }57$$

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