How to solve ( c ) 92184/46

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 ( c ) 92184/46 | Equatix

Use the $1^{st}$ digit $9$ from dividend $92184$

$$\begin{array}{l}\phantom{46)}\phantom{1}\\46\overline{)92184}\\\end{array}$$

Since $9$ is less than $46$, use the next digit $2$ from dividend $92184$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{46)}0\phantom{2}\\46\overline{)92184}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $92184$

$$\begin{array}{l}\phantom{46)}0\phantom{3}\\46\overline{)92184}\\\end{array}$$

Find closest multiple of $46$ to $92$. We see that $2 \times 46 = 92$ is the nearest. Now subtract $92$ from $92$ to get reminder $0$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{46)}02\phantom{4}\\46\overline{)92184}\\\phantom{46)}\underline{\phantom{}92\phantom{999}}\\\phantom{46)99}0\\\end{array}$$

Use the $3^{rd}$ digit $1$ from dividend $92184$

$$\begin{array}{l}\phantom{46)}02\phantom{5}\\46\overline{)92184}\\\phantom{46)}\underline{\phantom{}92\phantom{999}}\\\phantom{46)99}1\\\end{array}$$

Since $1$ is less than $46$, use the next digit $8$ from dividend $92184$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{46)}020\phantom{6}\\46\overline{)92184}\\\phantom{46)}\underline{\phantom{}92\phantom{999}}\\\phantom{46)99}1\\\end{array}$$

Use the $4^{th}$ digit $8$ from dividend $92184$

$$\begin{array}{l}\phantom{46)}020\phantom{7}\\46\overline{)92184}\\\phantom{46)}\underline{\phantom{}92\phantom{999}}\\\phantom{46)99}18\\\end{array}$$

Since $18$ is less than $46$, use the next digit $4$ from dividend $92184$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{46)}0200\phantom{8}\\46\overline{)92184}\\\phantom{46)}\underline{\phantom{}92\phantom{999}}\\\phantom{46)99}18\\\end{array}$$

Use the $5^{th}$ digit $4$ from dividend $92184$

$$\begin{array}{l}\phantom{46)}0200\phantom{9}\\46\overline{)92184}\\\phantom{46)}\underline{\phantom{}92\phantom{999}}\\\phantom{46)99}184\\\end{array}$$

Find closest multiple of $46$ to $184$. We see that $4 \times 46 = 184$ is the nearest. Now subtract $184$ from $184$ to get reminder $0$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{46)}02004\phantom{10}\\46\overline{)92184}\\\phantom{46)}\underline{\phantom{}92\phantom{999}}\\\phantom{46)99}184\\\phantom{46)}\underline{\phantom{99}184\phantom{}}\\\phantom{46)99999}0\\\end{array}$$

Since $0$ is less than $46$, stop the division. The reminder is $0$. The topmost line $02004$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $2004$.

$$\text{Quotient: }2004$$ $$\text{Reminder: }0$$

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