How to solve (21744)/(18)

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 (21744)/(18) | Equatix

Use the $1^{st}$ digit $2$ from dividend $21744$

$$\begin{array}{l}\phantom{18)}\phantom{1}\\18\overline{)21744}\\\end{array}$$

Since $2$ is less than $18$, use the next digit $1$ from dividend $21744$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{18)}0\phantom{2}\\18\overline{)21744}\\\end{array}$$

Use the $2^{nd}$ digit $1$ from dividend $21744$

$$\begin{array}{l}\phantom{18)}0\phantom{3}\\18\overline{)21744}\\\end{array}$$

Find closest multiple of $18$ to $21$. We see that $1 \times 18 = 18$ is the nearest. Now subtract $18$ from $21$ to get reminder $3$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{18)}01\phantom{4}\\18\overline{)21744}\\\phantom{18)}\underline{\phantom{}18\phantom{999}}\\\phantom{18)9}3\\\end{array}$$

Use the $3^{rd}$ digit $7$ from dividend $21744$

$$\begin{array}{l}\phantom{18)}01\phantom{5}\\18\overline{)21744}\\\phantom{18)}\underline{\phantom{}18\phantom{999}}\\\phantom{18)9}37\\\end{array}$$

Find closest multiple of $18$ to $37$. We see that $2 \times 18 = 36$ is the nearest. Now subtract $36$ from $37$ to get reminder $1$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{18)}012\phantom{6}\\18\overline{)21744}\\\phantom{18)}\underline{\phantom{}18\phantom{999}}\\\phantom{18)9}37\\\phantom{18)}\underline{\phantom{9}36\phantom{99}}\\\phantom{18)99}1\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $21744$

$$\begin{array}{l}\phantom{18)}012\phantom{7}\\18\overline{)21744}\\\phantom{18)}\underline{\phantom{}18\phantom{999}}\\\phantom{18)9}37\\\phantom{18)}\underline{\phantom{9}36\phantom{99}}\\\phantom{18)99}14\\\end{array}$$

Since $14$ is less than $18$, use the next digit $4$ from dividend $21744$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{18)}0120\phantom{8}\\18\overline{)21744}\\\phantom{18)}\underline{\phantom{}18\phantom{999}}\\\phantom{18)9}37\\\phantom{18)}\underline{\phantom{9}36\phantom{99}}\\\phantom{18)99}14\\\end{array}$$

Use the $5^{th}$ digit $4$ from dividend $21744$

$$\begin{array}{l}\phantom{18)}0120\phantom{9}\\18\overline{)21744}\\\phantom{18)}\underline{\phantom{}18\phantom{999}}\\\phantom{18)9}37\\\phantom{18)}\underline{\phantom{9}36\phantom{99}}\\\phantom{18)99}144\\\end{array}$$

Find closest multiple of $18$ to $144$. We see that $8 \times 18 = 144$ is the nearest. Now subtract $144$ from $144$ to get reminder $0$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{18)}01208\phantom{10}\\18\overline{)21744}\\\phantom{18)}\underline{\phantom{}18\phantom{999}}\\\phantom{18)9}37\\\phantom{18)}\underline{\phantom{9}36\phantom{99}}\\\phantom{18)99}144\\\phantom{18)}\underline{\phantom{99}144\phantom{}}\\\phantom{18)99999}0\\\end{array}$$

Since $0$ is less than $18$, stop the division. The reminder is $0$. The topmost line $01208$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1208$.

$$\text{Quotient: }1208$$ $$\text{Reminder: }0$$

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