How to solve 400000/222

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 400000/222 | Equatix

Question

$$400000/222$$

Evaluate

$\frac{200000}{111}\approx 1801.801801802$

Steps For Long Division Method

Use the $1^{st}$ digit $4$ from dividend $400000$

$$\begin{array}{l}\phantom{222)}\phantom{1}\\222\overline{)400000}\\\end{array}$$

Since $4$ is less than $222$, use the next digit $0$ from dividend $400000$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{222)}0\phantom{2}\\222\overline{)400000}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $400000$

$$\begin{array}{l}\phantom{222)}0\phantom{3}\\222\overline{)400000}\\\end{array}$$

Since $40$ is less than $222$, use the next digit $0$ from dividend $400000$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{222)}00\phantom{4}\\222\overline{)400000}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $400000$

$$\begin{array}{l}\phantom{222)}00\phantom{5}\\222\overline{)400000}\\\end{array}$$

Find closest multiple of $222$ to $400$. We see that $1 \times 222 = 222$ is the nearest. Now subtract $222$ from $400$ to get reminder $178$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{222)}001\phantom{6}\\222\overline{)400000}\\\phantom{222)}\underline{\phantom{}222\phantom{999}}\\\phantom{222)}178\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $400000$

$$\begin{array}{l}\phantom{222)}001\phantom{7}\\222\overline{)400000}\\\phantom{222)}\underline{\phantom{}222\phantom{999}}\\\phantom{222)}1780\\\end{array}$$

Find closest multiple of $222$ to $1780$. We see that $8 \times 222 = 1776$ is the nearest. Now subtract $1776$ from $1780$ to get reminder $4$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{222)}0018\phantom{8}\\222\overline{)400000}\\\phantom{222)}\underline{\phantom{}222\phantom{999}}\\\phantom{222)}1780\\\phantom{222)}\underline{\phantom{}1776\phantom{99}}\\\phantom{222)999}4\\\end{array}$$

Use the $5^{th}$ digit $0$ from dividend $400000$

$$\begin{array}{l}\phantom{222)}0018\phantom{9}\\222\overline{)400000}\\\phantom{222)}\underline{\phantom{}222\phantom{999}}\\\phantom{222)}1780\\\phantom{222)}\underline{\phantom{}1776\phantom{99}}\\\phantom{222)999}40\\\end{array}$$

Since $40$ is less than $222$, use the next digit $0$ from dividend $400000$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{222)}00180\phantom{10}\\222\overline{)400000}\\\phantom{222)}\underline{\phantom{}222\phantom{999}}\\\phantom{222)}1780\\\phantom{222)}\underline{\phantom{}1776\phantom{99}}\\\phantom{222)999}40\\\end{array}$$

Use the $6^{th}$ digit $0$ from dividend $400000$

$$\begin{array}{l}\phantom{222)}00180\phantom{11}\\222\overline{)400000}\\\phantom{222)}\underline{\phantom{}222\phantom{999}}\\\phantom{222)}1780\\\phantom{222)}\underline{\phantom{}1776\phantom{99}}\\\phantom{222)999}400\\\end{array}$$

Find closest multiple of $222$ to $400$. We see that $1 \times 222 = 222$ is the nearest. Now subtract $222$ from $400$ to get reminder $178$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{222)}001801\phantom{12}\\222\overline{)400000}\\\phantom{222)}\underline{\phantom{}222\phantom{999}}\\\phantom{222)}1780\\\phantom{222)}\underline{\phantom{}1776\phantom{99}}\\\phantom{222)999}400\\\phantom{222)}\underline{\phantom{999}222\phantom{}}\\\phantom{222)999}178\\\end{array}$$

Since $178$ is less than $222$, stop the division. The reminder is $178$. The topmost line $001801$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1801$.

$$\text{Quotient: }1801$$ $$\text{Reminder: }178$$

Show Solution

Factor

$\frac{2 ^ {6} \cdot 5 ^ {5}}{3 \cdot 37} = 1801\frac{89}{111} = 1801.8018018018017$

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Steps For Long Division Method

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