How to solve ) 26 166/98

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 ) 26 166/98 | Equatix

Use the $1^{st}$ digit $2$ from dividend $26166$

$$\begin{array}{l}\phantom{98)}\phantom{1}\\98\overline{)26166}\\\end{array}$$

Since $2$ is less than $98$, use the next digit $6$ from dividend $26166$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{98)}0\phantom{2}\\98\overline{)26166}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $26166$

$$\begin{array}{l}\phantom{98)}0\phantom{3}\\98\overline{)26166}\\\end{array}$$

Since $26$ is less than $98$, use the next digit $1$ from dividend $26166$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{98)}00\phantom{4}\\98\overline{)26166}\\\end{array}$$

Use the $3^{rd}$ digit $1$ from dividend $26166$

$$\begin{array}{l}\phantom{98)}00\phantom{5}\\98\overline{)26166}\\\end{array}$$

Find closest multiple of $98$ to $261$. We see that $2 \times 98 = 196$ is the nearest. Now subtract $196$ from $261$ to get reminder $65$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{98)}002\phantom{6}\\98\overline{)26166}\\\phantom{98)}\underline{\phantom{}196\phantom{99}}\\\phantom{98)9}65\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $26166$

$$\begin{array}{l}\phantom{98)}002\phantom{7}\\98\overline{)26166}\\\phantom{98)}\underline{\phantom{}196\phantom{99}}\\\phantom{98)9}656\\\end{array}$$

Find closest multiple of $98$ to $656$. We see that $6 \times 98 = 588$ is the nearest. Now subtract $588$ from $656$ to get reminder $68$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{98)}0026\phantom{8}\\98\overline{)26166}\\\phantom{98)}\underline{\phantom{}196\phantom{99}}\\\phantom{98)9}656\\\phantom{98)}\underline{\phantom{9}588\phantom{9}}\\\phantom{98)99}68\\\end{array}$$

Use the $5^{th}$ digit $6$ from dividend $26166$

$$\begin{array}{l}\phantom{98)}0026\phantom{9}\\98\overline{)26166}\\\phantom{98)}\underline{\phantom{}196\phantom{99}}\\\phantom{98)9}656\\\phantom{98)}\underline{\phantom{9}588\phantom{9}}\\\phantom{98)99}686\\\end{array}$$

Find closest multiple of $98$ to $686$. We see that $7 \times 98 = 686$ is the nearest. Now subtract $686$ from $686$ to get reminder $0$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{98)}00267\phantom{10}\\98\overline{)26166}\\\phantom{98)}\underline{\phantom{}196\phantom{99}}\\\phantom{98)9}656\\\phantom{98)}\underline{\phantom{9}588\phantom{9}}\\\phantom{98)99}686\\\phantom{98)}\underline{\phantom{99}686\phantom{}}\\\phantom{98)99999}0\\\end{array}$$

Since $0$ is less than $98$, stop the division. The reminder is $0$. The topmost line $00267$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $267$.

$$\text{Quotient: }267$$ $$\text{Reminder: }0$$

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