How to solve 19214/10

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 19214/10 | Equatix

Use the $1^{st}$ digit $1$ from dividend $19214$

$$\begin{array}{l}\phantom{10)}\phantom{1}\\10\overline{)19214}\\\end{array}$$

Since $1$ is less than $10$, use the next digit $9$ from dividend $19214$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{10)}0\phantom{2}\\10\overline{)19214}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $19214$

$$\begin{array}{l}\phantom{10)}0\phantom{3}\\10\overline{)19214}\\\end{array}$$

Find closest multiple of $10$ to $19$. We see that $1 \times 10 = 10$ is the nearest. Now subtract $10$ from $19$ to get reminder $9$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{10)}01\phantom{4}\\10\overline{)19214}\\\phantom{10)}\underline{\phantom{}10\phantom{999}}\\\phantom{10)9}9\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $19214$

$$\begin{array}{l}\phantom{10)}01\phantom{5}\\10\overline{)19214}\\\phantom{10)}\underline{\phantom{}10\phantom{999}}\\\phantom{10)9}92\\\end{array}$$

Find closest multiple of $10$ to $92$. We see that $9 \times 10 = 90$ is the nearest. Now subtract $90$ from $92$ to get reminder $2$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{10)}019\phantom{6}\\10\overline{)19214}\\\phantom{10)}\underline{\phantom{}10\phantom{999}}\\\phantom{10)9}92\\\phantom{10)}\underline{\phantom{9}90\phantom{99}}\\\phantom{10)99}2\\\end{array}$$

Use the $4^{th}$ digit $1$ from dividend $19214$

$$\begin{array}{l}\phantom{10)}019\phantom{7}\\10\overline{)19214}\\\phantom{10)}\underline{\phantom{}10\phantom{999}}\\\phantom{10)9}92\\\phantom{10)}\underline{\phantom{9}90\phantom{99}}\\\phantom{10)99}21\\\end{array}$$

Find closest multiple of $10$ to $21$. We see that $2 \times 10 = 20$ is the nearest. Now subtract $20$ from $21$ to get reminder $1$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{10)}0192\phantom{8}\\10\overline{)19214}\\\phantom{10)}\underline{\phantom{}10\phantom{999}}\\\phantom{10)9}92\\\phantom{10)}\underline{\phantom{9}90\phantom{99}}\\\phantom{10)99}21\\\phantom{10)}\underline{\phantom{99}20\phantom{9}}\\\phantom{10)999}1\\\end{array}$$

Use the $5^{th}$ digit $4$ from dividend $19214$

$$\begin{array}{l}\phantom{10)}0192\phantom{9}\\10\overline{)19214}\\\phantom{10)}\underline{\phantom{}10\phantom{999}}\\\phantom{10)9}92\\\phantom{10)}\underline{\phantom{9}90\phantom{99}}\\\phantom{10)99}21\\\phantom{10)}\underline{\phantom{99}20\phantom{9}}\\\phantom{10)999}14\\\end{array}$$

Find closest multiple of $10$ to $14$. We see that $1 \times 10 = 10$ is the nearest. Now subtract $10$ from $14$ to get reminder $4$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{10)}01921\phantom{10}\\10\overline{)19214}\\\phantom{10)}\underline{\phantom{}10\phantom{999}}\\\phantom{10)9}92\\\phantom{10)}\underline{\phantom{9}90\phantom{99}}\\\phantom{10)99}21\\\phantom{10)}\underline{\phantom{99}20\phantom{9}}\\\phantom{10)999}14\\\phantom{10)}\underline{\phantom{999}10\phantom{}}\\\phantom{10)9999}4\\\end{array}$$

Since $4$ is less than $10$, stop the division. The reminder is $4$. The topmost line $01921$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1921$.

$$\text{Quotient: }1921$$ $$\text{Reminder: }4$$

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