How to solve 4426125/275 =

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 4426125/275 = | Equatix

Use the $1^{st}$ digit $4$ from dividend $4426125$

$$\begin{array}{l}\phantom{275)}\phantom{1}\\275\overline{)4426125}\\\end{array}$$

Since $4$ is less than $275$, use the next digit $4$ from dividend $4426125$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{275)}0\phantom{2}\\275\overline{)4426125}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $4426125$

$$\begin{array}{l}\phantom{275)}0\phantom{3}\\275\overline{)4426125}\\\end{array}$$

Since $44$ is less than $275$, use the next digit $2$ from dividend $4426125$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{275)}00\phantom{4}\\275\overline{)4426125}\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $4426125$

$$\begin{array}{l}\phantom{275)}00\phantom{5}\\275\overline{)4426125}\\\end{array}$$

Find closest multiple of $275$ to $442$. We see that $1 \times 275 = 275$ is the nearest. Now subtract $275$ from $442$ to get reminder $167$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{275)}001\phantom{6}\\275\overline{)4426125}\\\phantom{275)}\underline{\phantom{}275\phantom{9999}}\\\phantom{275)}167\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $4426125$

$$\begin{array}{l}\phantom{275)}001\phantom{7}\\275\overline{)4426125}\\\phantom{275)}\underline{\phantom{}275\phantom{9999}}\\\phantom{275)}1676\\\end{array}$$

Find closest multiple of $275$ to $1676$. We see that $6 \times 275 = 1650$ is the nearest. Now subtract $1650$ from $1676$ to get reminder $26$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{275)}0016\phantom{8}\\275\overline{)4426125}\\\phantom{275)}\underline{\phantom{}275\phantom{9999}}\\\phantom{275)}1676\\\phantom{275)}\underline{\phantom{}1650\phantom{999}}\\\phantom{275)99}26\\\end{array}$$

Use the $5^{th}$ digit $1$ from dividend $4426125$

$$\begin{array}{l}\phantom{275)}0016\phantom{9}\\275\overline{)4426125}\\\phantom{275)}\underline{\phantom{}275\phantom{9999}}\\\phantom{275)}1676\\\phantom{275)}\underline{\phantom{}1650\phantom{999}}\\\phantom{275)99}261\\\end{array}$$

Since $261$ is less than $275$, use the next digit $2$ from dividend $4426125$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{275)}00160\phantom{10}\\275\overline{)4426125}\\\phantom{275)}\underline{\phantom{}275\phantom{9999}}\\\phantom{275)}1676\\\phantom{275)}\underline{\phantom{}1650\phantom{999}}\\\phantom{275)99}261\\\end{array}$$

Use the $6^{th}$ digit $2$ from dividend $4426125$

$$\begin{array}{l}\phantom{275)}00160\phantom{11}\\275\overline{)4426125}\\\phantom{275)}\underline{\phantom{}275\phantom{9999}}\\\phantom{275)}1676\\\phantom{275)}\underline{\phantom{}1650\phantom{999}}\\\phantom{275)99}2612\\\end{array}$$

Find closest multiple of $275$ to $2612$. We see that $9 \times 275 = 2475$ is the nearest. Now subtract $2475$ from $2612$ to get reminder $137$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{275)}001609\phantom{12}\\275\overline{)4426125}\\\phantom{275)}\underline{\phantom{}275\phantom{9999}}\\\phantom{275)}1676\\\phantom{275)}\underline{\phantom{}1650\phantom{999}}\\\phantom{275)99}2612\\\phantom{275)}\underline{\phantom{99}2475\phantom{9}}\\\phantom{275)999}137\\\end{array}$$

Use the $7^{th}$ digit $5$ from dividend $4426125$

$$\begin{array}{l}\phantom{275)}001609\phantom{13}\\275\overline{)4426125}\\\phantom{275)}\underline{\phantom{}275\phantom{9999}}\\\phantom{275)}1676\\\phantom{275)}\underline{\phantom{}1650\phantom{999}}\\\phantom{275)99}2612\\\phantom{275)}\underline{\phantom{99}2475\phantom{9}}\\\phantom{275)999}1375\\\end{array}$$

Find closest multiple of $275$ to $1375$. We see that $5 \times 275 = 1375$ is the nearest. Now subtract $1375$ from $1375$ to get reminder $0$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{275)}0016095\phantom{14}\\275\overline{)4426125}\\\phantom{275)}\underline{\phantom{}275\phantom{9999}}\\\phantom{275)}1676\\\phantom{275)}\underline{\phantom{}1650\phantom{999}}\\\phantom{275)99}2612\\\phantom{275)}\underline{\phantom{99}2475\phantom{9}}\\\phantom{275)999}1375\\\phantom{275)}\underline{\phantom{999}1375\phantom{}}\\\phantom{275)9999999}0\\\end{array}$$

Since $0$ is less than $275$, stop the division. The reminder is $0$. The topmost line $0016095$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $16095$.

$$\text{Quotient: }16095$$ $$\text{Reminder: }0$$

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