How to solve 20916/83

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 20916/83 | Equatix

Use the $1^{st}$ digit $2$ from dividend $20916$

$$\begin{array}{l}\phantom{83)}\phantom{1}\\83\overline{)20916}\\\end{array}$$

Since $2$ is less than $83$, use the next digit $0$ from dividend $20916$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{83)}0\phantom{2}\\83\overline{)20916}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $20916$

$$\begin{array}{l}\phantom{83)}0\phantom{3}\\83\overline{)20916}\\\end{array}$$

Since $20$ is less than $83$, use the next digit $9$ from dividend $20916$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{83)}00\phantom{4}\\83\overline{)20916}\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $20916$

$$\begin{array}{l}\phantom{83)}00\phantom{5}\\83\overline{)20916}\\\end{array}$$

Find closest multiple of $83$ to $209$. We see that $2 \times 83 = 166$ is the nearest. Now subtract $166$ from $209$ to get reminder $43$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{83)}002\phantom{6}\\83\overline{)20916}\\\phantom{83)}\underline{\phantom{}166\phantom{99}}\\\phantom{83)9}43\\\end{array}$$

Use the $4^{th}$ digit $1$ from dividend $20916$

$$\begin{array}{l}\phantom{83)}002\phantom{7}\\83\overline{)20916}\\\phantom{83)}\underline{\phantom{}166\phantom{99}}\\\phantom{83)9}431\\\end{array}$$

Find closest multiple of $83$ to $431$. We see that $5 \times 83 = 415$ is the nearest. Now subtract $415$ from $431$ to get reminder $16$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{83)}0025\phantom{8}\\83\overline{)20916}\\\phantom{83)}\underline{\phantom{}166\phantom{99}}\\\phantom{83)9}431\\\phantom{83)}\underline{\phantom{9}415\phantom{9}}\\\phantom{83)99}16\\\end{array}$$

Use the $5^{th}$ digit $6$ from dividend $20916$

$$\begin{array}{l}\phantom{83)}0025\phantom{9}\\83\overline{)20916}\\\phantom{83)}\underline{\phantom{}166\phantom{99}}\\\phantom{83)9}431\\\phantom{83)}\underline{\phantom{9}415\phantom{9}}\\\phantom{83)99}166\\\end{array}$$

Find closest multiple of $83$ to $166$. We see that $2 \times 83 = 166$ is the nearest. Now subtract $166$ from $166$ to get reminder $0$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{83)}00252\phantom{10}\\83\overline{)20916}\\\phantom{83)}\underline{\phantom{}166\phantom{99}}\\\phantom{83)9}431\\\phantom{83)}\underline{\phantom{9}415\phantom{9}}\\\phantom{83)99}166\\\phantom{83)}\underline{\phantom{99}166\phantom{}}\\\phantom{83)99999}0\\\end{array}$$

Since $0$ is less than $83$, stop the division. The reminder is $0$. The topmost line $00252$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $252$.

$$\text{Quotient: }252$$ $$\text{Reminder: }0$$

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