How to solve 963247101/14

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 963247101/14 | Equatix

Use the $1^{st}$ digit $9$ from dividend $963247101$

$$\begin{array}{l}\phantom{14)}\phantom{1}\\14\overline{)963247101}\\\end{array}$$

Since $9$ is less than $14$, use the next digit $6$ from dividend $963247101$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{14)}0\phantom{2}\\14\overline{)963247101}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $963247101$

$$\begin{array}{l}\phantom{14)}0\phantom{3}\\14\overline{)963247101}\\\end{array}$$

Find closest multiple of $14$ to $96$. We see that $6 \times 14 = 84$ is the nearest. Now subtract $84$ from $96$ to get reminder $12$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{14)}06\phantom{4}\\14\overline{)963247101}\\\phantom{14)}\underline{\phantom{}84\phantom{9999999}}\\\phantom{14)}12\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $963247101$

$$\begin{array}{l}\phantom{14)}06\phantom{5}\\14\overline{)963247101}\\\phantom{14)}\underline{\phantom{}84\phantom{9999999}}\\\phantom{14)}123\\\end{array}$$

Find closest multiple of $14$ to $123$. We see that $8 \times 14 = 112$ is the nearest. Now subtract $112$ from $123$ to get reminder $11$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{14)}068\phantom{6}\\14\overline{)963247101}\\\phantom{14)}\underline{\phantom{}84\phantom{9999999}}\\\phantom{14)}123\\\phantom{14)}\underline{\phantom{}112\phantom{999999}}\\\phantom{14)9}11\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $963247101$

$$\begin{array}{l}\phantom{14)}068\phantom{7}\\14\overline{)963247101}\\\phantom{14)}\underline{\phantom{}84\phantom{9999999}}\\\phantom{14)}123\\\phantom{14)}\underline{\phantom{}112\phantom{999999}}\\\phantom{14)9}112\\\end{array}$$

Find closest multiple of $14$ to $112$. We see that $8 \times 14 = 112$ is the nearest. Now subtract $112$ from $112$ to get reminder $0$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{14)}0688\phantom{8}\\14\overline{)963247101}\\\phantom{14)}\underline{\phantom{}84\phantom{9999999}}\\\phantom{14)}123\\\phantom{14)}\underline{\phantom{}112\phantom{999999}}\\\phantom{14)9}112\\\phantom{14)}\underline{\phantom{9}112\phantom{99999}}\\\phantom{14)9999}0\\\end{array}$$

Use the $5^{th}$ digit $4$ from dividend $963247101$

$$\begin{array}{l}\phantom{14)}0688\phantom{9}\\14\overline{)963247101}\\\phantom{14)}\underline{\phantom{}84\phantom{9999999}}\\\phantom{14)}123\\\phantom{14)}\underline{\phantom{}112\phantom{999999}}\\\phantom{14)9}112\\\phantom{14)}\underline{\phantom{9}112\phantom{99999}}\\\phantom{14)9999}4\\\end{array}$$

Since $4$ is less than $14$, use the next digit $7$ from dividend $963247101$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{14)}06880\phantom{10}\\14\overline{)963247101}\\\phantom{14)}\underline{\phantom{}84\phantom{9999999}}\\\phantom{14)}123\\\phantom{14)}\underline{\phantom{}112\phantom{999999}}\\\phantom{14)9}112\\\phantom{14)}\underline{\phantom{9}112\phantom{99999}}\\\phantom{14)9999}4\\\end{array}$$

Use the $6^{th}$ digit $7$ from dividend $963247101$

$$\begin{array}{l}\phantom{14)}06880\phantom{11}\\14\overline{)963247101}\\\phantom{14)}\underline{\phantom{}84\phantom{9999999}}\\\phantom{14)}123\\\phantom{14)}\underline{\phantom{}112\phantom{999999}}\\\phantom{14)9}112\\\phantom{14)}\underline{\phantom{9}112\phantom{99999}}\\\phantom{14)9999}47\\\end{array}$$

Find closest multiple of $14$ to $47$. We see that $3 \times 14 = 42$ is the nearest. Now subtract $42$ from $47$ to get reminder $5$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{14)}068803\phantom{12}\\14\overline{)963247101}\\\phantom{14)}\underline{\phantom{}84\phantom{9999999}}\\\phantom{14)}123\\\phantom{14)}\underline{\phantom{}112\phantom{999999}}\\\phantom{14)9}112\\\phantom{14)}\underline{\phantom{9}112\phantom{99999}}\\\phantom{14)9999}47\\\phantom{14)}\underline{\phantom{9999}42\phantom{999}}\\\phantom{14)99999}5\\\end{array}$$

Use the $7^{th}$ digit $1$ from dividend $963247101$

$$\begin{array}{l}\phantom{14)}068803\phantom{13}\\14\overline{)963247101}\\\phantom{14)}\underline{\phantom{}84\phantom{9999999}}\\\phantom{14)}123\\\phantom{14)}\underline{\phantom{}112\phantom{999999}}\\\phantom{14)9}112\\\phantom{14)}\underline{\phantom{9}112\phantom{99999}}\\\phantom{14)9999}47\\\phantom{14)}\underline{\phantom{9999}42\phantom{999}}\\\phantom{14)99999}51\\\end{array}$$

Find closest multiple of $14$ to $51$. We see that $3 \times 14 = 42$ is the nearest. Now subtract $42$ from $51$ to get reminder $9$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{14)}0688033\phantom{14}\\14\overline{)963247101}\\\phantom{14)}\underline{\phantom{}84\phantom{9999999}}\\\phantom{14)}123\\\phantom{14)}\underline{\phantom{}112\phantom{999999}}\\\phantom{14)9}112\\\phantom{14)}\underline{\phantom{9}112\phantom{99999}}\\\phantom{14)9999}47\\\phantom{14)}\underline{\phantom{9999}42\phantom{999}}\\\phantom{14)99999}51\\\phantom{14)}\underline{\phantom{99999}42\phantom{99}}\\\phantom{14)999999}9\\\end{array}$$

Use the $8^{th}$ digit $0$ from dividend $963247101$

$$\begin{array}{l}\phantom{14)}0688033\phantom{15}\\14\overline{)963247101}\\\phantom{14)}\underline{\phantom{}84\phantom{9999999}}\\\phantom{14)}123\\\phantom{14)}\underline{\phantom{}112\phantom{999999}}\\\phantom{14)9}112\\\phantom{14)}\underline{\phantom{9}112\phantom{99999}}\\\phantom{14)9999}47\\\phantom{14)}\underline{\phantom{9999}42\phantom{999}}\\\phantom{14)99999}51\\\phantom{14)}\underline{\phantom{99999}42\phantom{99}}\\\phantom{14)999999}90\\\end{array}$$

Find closest multiple of $14$ to $90$. We see that $6 \times 14 = 84$ is the nearest. Now subtract $84$ from $90$ to get reminder $6$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{14)}06880336\phantom{16}\\14\overline{)963247101}\\\phantom{14)}\underline{\phantom{}84\phantom{9999999}}\\\phantom{14)}123\\\phantom{14)}\underline{\phantom{}112\phantom{999999}}\\\phantom{14)9}112\\\phantom{14)}\underline{\phantom{9}112\phantom{99999}}\\\phantom{14)9999}47\\\phantom{14)}\underline{\phantom{9999}42\phantom{999}}\\\phantom{14)99999}51\\\phantom{14)}\underline{\phantom{99999}42\phantom{99}}\\\phantom{14)999999}90\\\phantom{14)}\underline{\phantom{999999}84\phantom{9}}\\\phantom{14)9999999}6\\\end{array}$$

Use the $9^{th}$ digit $1$ from dividend $963247101$

$$\begin{array}{l}\phantom{14)}06880336\phantom{17}\\14\overline{)963247101}\\\phantom{14)}\underline{\phantom{}84\phantom{9999999}}\\\phantom{14)}123\\\phantom{14)}\underline{\phantom{}112\phantom{999999}}\\\phantom{14)9}112\\\phantom{14)}\underline{\phantom{9}112\phantom{99999}}\\\phantom{14)9999}47\\\phantom{14)}\underline{\phantom{9999}42\phantom{999}}\\\phantom{14)99999}51\\\phantom{14)}\underline{\phantom{99999}42\phantom{99}}\\\phantom{14)999999}90\\\phantom{14)}\underline{\phantom{999999}84\phantom{9}}\\\phantom{14)9999999}61\\\end{array}$$

Find closest multiple of $14$ to $61$. We see that $4 \times 14 = 56$ is the nearest. Now subtract $56$ from $61$ to get reminder $5$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{14)}068803364\phantom{18}\\14\overline{)963247101}\\\phantom{14)}\underline{\phantom{}84\phantom{9999999}}\\\phantom{14)}123\\\phantom{14)}\underline{\phantom{}112\phantom{999999}}\\\phantom{14)9}112\\\phantom{14)}\underline{\phantom{9}112\phantom{99999}}\\\phantom{14)9999}47\\\phantom{14)}\underline{\phantom{9999}42\phantom{999}}\\\phantom{14)99999}51\\\phantom{14)}\underline{\phantom{99999}42\phantom{99}}\\\phantom{14)999999}90\\\phantom{14)}\underline{\phantom{999999}84\phantom{9}}\\\phantom{14)9999999}61\\\phantom{14)}\underline{\phantom{9999999}56\phantom{}}\\\phantom{14)99999999}5\\\end{array}$$

Since $5$ is less than $14$, stop the division. The reminder is $5$. The topmost line $068803364$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $68803364$.

$$\text{Quotient: }68803364$$ $$\text{Reminder: }5$$

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