How to solve 23400/100

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 23400/100 | Equatix

Use the $1^{st}$ digit $2$ from dividend $23400$

$$\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)23400}\\\end{array}$$

Since $2$ is less than $100$, use the next digit $3$ from dividend $23400$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)23400}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $23400$

$$\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)23400}\\\end{array}$$

Since $23$ is less than $100$, use the next digit $4$ from dividend $23400$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)23400}\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $23400$

$$\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)23400}\\\end{array}$$

Find closest multiple of $100$ to $234$. We see that $2 \times 100 = 200$ is the nearest. Now subtract $200$ from $234$ to get reminder $34$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{100)}002\phantom{6}\\100\overline{)23400}\\\phantom{100)}\underline{\phantom{}200\phantom{99}}\\\phantom{100)9}34\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $23400$

$$\begin{array}{l}\phantom{100)}002\phantom{7}\\100\overline{)23400}\\\phantom{100)}\underline{\phantom{}200\phantom{99}}\\\phantom{100)9}340\\\end{array}$$

Find closest multiple of $100$ to $340$. We see that $3 \times 100 = 300$ is the nearest. Now subtract $300$ from $340$ to get reminder $40$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{100)}0023\phantom{8}\\100\overline{)23400}\\\phantom{100)}\underline{\phantom{}200\phantom{99}}\\\phantom{100)9}340\\\phantom{100)}\underline{\phantom{9}300\phantom{9}}\\\phantom{100)99}40\\\end{array}$$

Use the $5^{th}$ digit $0$ from dividend $23400$

$$\begin{array}{l}\phantom{100)}0023\phantom{9}\\100\overline{)23400}\\\phantom{100)}\underline{\phantom{}200\phantom{99}}\\\phantom{100)9}340\\\phantom{100)}\underline{\phantom{9}300\phantom{9}}\\\phantom{100)99}400\\\end{array}$$

Find closest multiple of $100$ to $400$. We see that $4 \times 100 = 400$ is the nearest. Now subtract $400$ from $400$ to get reminder $0$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{100)}00234\phantom{10}\\100\overline{)23400}\\\phantom{100)}\underline{\phantom{}200\phantom{99}}\\\phantom{100)9}340\\\phantom{100)}\underline{\phantom{9}300\phantom{9}}\\\phantom{100)99}400\\\phantom{100)}\underline{\phantom{99}400\phantom{}}\\\phantom{100)99999}0\\\end{array}$$

Since $0$ is less than $100$, stop the division. The reminder is $0$. The topmost line $00234$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $234$.

$$\text{Quotient: }234$$ $$\text{Reminder: }0$$

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