How to solve 21900/12

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 21900/12 | Equatix

Use the $1^{st}$ digit $2$ from dividend $21900$

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)21900}\\\end{array}$$

Since $2$ is less than $12$, use the next digit $1$ from dividend $21900$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)21900}\\\end{array}$$

Use the $2^{nd}$ digit $1$ from dividend $21900$

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)21900}\\\end{array}$$

Find closest multiple of $12$ to $21$. We see that $1 \times 12 = 12$ is the nearest. Now subtract $12$ from $21$ to get reminder $9$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{12)}01\phantom{4}\\12\overline{)21900}\\\phantom{12)}\underline{\phantom{}12\phantom{999}}\\\phantom{12)9}9\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $21900$

$$\begin{array}{l}\phantom{12)}01\phantom{5}\\12\overline{)21900}\\\phantom{12)}\underline{\phantom{}12\phantom{999}}\\\phantom{12)9}99\\\end{array}$$

Find closest multiple of $12$ to $99$. We see that $8 \times 12 = 96$ is the nearest. Now subtract $96$ from $99$ to get reminder $3$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{12)}018\phantom{6}\\12\overline{)21900}\\\phantom{12)}\underline{\phantom{}12\phantom{999}}\\\phantom{12)9}99\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}3\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $21900$

$$\begin{array}{l}\phantom{12)}018\phantom{7}\\12\overline{)21900}\\\phantom{12)}\underline{\phantom{}12\phantom{999}}\\\phantom{12)9}99\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}30\\\end{array}$$

Find closest multiple of $12$ to $30$. We see that $2 \times 12 = 24$ is the nearest. Now subtract $24$ from $30$ to get reminder $6$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{12)}0182\phantom{8}\\12\overline{)21900}\\\phantom{12)}\underline{\phantom{}12\phantom{999}}\\\phantom{12)9}99\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}30\\\phantom{12)}\underline{\phantom{99}24\phantom{9}}\\\phantom{12)999}6\\\end{array}$$

Use the $5^{th}$ digit $0$ from dividend $21900$

$$\begin{array}{l}\phantom{12)}0182\phantom{9}\\12\overline{)21900}\\\phantom{12)}\underline{\phantom{}12\phantom{999}}\\\phantom{12)9}99\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}30\\\phantom{12)}\underline{\phantom{99}24\phantom{9}}\\\phantom{12)999}60\\\end{array}$$

Find closest multiple of $12$ to $60$. We see that $5 \times 12 = 60$ is the nearest. Now subtract $60$ from $60$ to get reminder $0$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{12)}01825\phantom{10}\\12\overline{)21900}\\\phantom{12)}\underline{\phantom{}12\phantom{999}}\\\phantom{12)9}99\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}30\\\phantom{12)}\underline{\phantom{99}24\phantom{9}}\\\phantom{12)999}60\\\phantom{12)}\underline{\phantom{999}60\phantom{}}\\\phantom{12)99999}0\\\end{array}$$

Since $0$ is less than $12$, stop the division. The reminder is $0$. The topmost line $01825$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1825$.

$$\text{Quotient: }1825$$ $$\text{Reminder: }0$$

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