How to solve 10098/99

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 10098/99 | Equatix

Use the $1^{st}$ digit $1$ from dividend $10098$

$$\begin{array}{l}\phantom{99)}\phantom{1}\\99\overline{)10098}\\\end{array}$$

Since $1$ is less than $99$, use the next digit $0$ from dividend $10098$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{99)}0\phantom{2}\\99\overline{)10098}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $10098$

$$\begin{array}{l}\phantom{99)}0\phantom{3}\\99\overline{)10098}\\\end{array}$$

Since $10$ is less than $99$, use the next digit $0$ from dividend $10098$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{99)}00\phantom{4}\\99\overline{)10098}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $10098$

$$\begin{array}{l}\phantom{99)}00\phantom{5}\\99\overline{)10098}\\\end{array}$$

Find closest multiple of $99$ to $100$. We see that $1 \times 99 = 99$ is the nearest. Now subtract $99$ from $100$ to get reminder $1$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{99)}001\phantom{6}\\99\overline{)10098}\\\phantom{99)}\underline{\phantom{9}99\phantom{99}}\\\phantom{99)99}1\\\end{array}$$

Use the $4^{th}$ digit $9$ from dividend $10098$

$$\begin{array}{l}\phantom{99)}001\phantom{7}\\99\overline{)10098}\\\phantom{99)}\underline{\phantom{9}99\phantom{99}}\\\phantom{99)99}19\\\end{array}$$

Since $19$ is less than $99$, use the next digit $8$ from dividend $10098$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{99)}0010\phantom{8}\\99\overline{)10098}\\\phantom{99)}\underline{\phantom{9}99\phantom{99}}\\\phantom{99)99}19\\\end{array}$$

Use the $5^{th}$ digit $8$ from dividend $10098$

$$\begin{array}{l}\phantom{99)}0010\phantom{9}\\99\overline{)10098}\\\phantom{99)}\underline{\phantom{9}99\phantom{99}}\\\phantom{99)99}198\\\end{array}$$

Find closest multiple of $99$ to $198$. We see that $2 \times 99 = 198$ is the nearest. Now subtract $198$ from $198$ to get reminder $0$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{99)}00102\phantom{10}\\99\overline{)10098}\\\phantom{99)}\underline{\phantom{9}99\phantom{99}}\\\phantom{99)99}198\\\phantom{99)}\underline{\phantom{99}198\phantom{}}\\\phantom{99)99999}0\\\end{array}$$

Since $0$ is less than $99$, stop the division. The reminder is $0$. The topmost line $00102$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $102$.

$$\text{Quotient: }102$$ $$\text{Reminder: }0$$

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