How to solve ) 1000000/58

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 ) 1000000/58 | Equatix

Use the $1^{st}$ digit $1$ from dividend $10000000$

$$\begin{array}{l}\phantom{58)}\phantom{1}\\58\overline{)10000000}\\\end{array}$$

Since $1$ is less than $58$, use the next digit $0$ from dividend $10000000$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{58)}0\phantom{2}\\58\overline{)10000000}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $10000000$

$$\begin{array}{l}\phantom{58)}0\phantom{3}\\58\overline{)10000000}\\\end{array}$$

Since $10$ is less than $58$, use the next digit $0$ from dividend $10000000$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{58)}00\phantom{4}\\58\overline{)10000000}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $10000000$

$$\begin{array}{l}\phantom{58)}00\phantom{5}\\58\overline{)10000000}\\\end{array}$$

Find closest multiple of $58$ to $100$. We see that $1 \times 58 = 58$ is the nearest. Now subtract $58$ from $100$ to get reminder $42$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{58)}001\phantom{6}\\58\overline{)10000000}\\\phantom{58)}\underline{\phantom{9}58\phantom{99999}}\\\phantom{58)9}42\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $10000000$

$$\begin{array}{l}\phantom{58)}001\phantom{7}\\58\overline{)10000000}\\\phantom{58)}\underline{\phantom{9}58\phantom{99999}}\\\phantom{58)9}420\\\end{array}$$

Find closest multiple of $58$ to $420$. We see that $7 \times 58 = 406$ is the nearest. Now subtract $406$ from $420$ to get reminder $14$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{58)}0017\phantom{8}\\58\overline{)10000000}\\\phantom{58)}\underline{\phantom{9}58\phantom{99999}}\\\phantom{58)9}420\\\phantom{58)}\underline{\phantom{9}406\phantom{9999}}\\\phantom{58)99}14\\\end{array}$$

Use the $5^{th}$ digit $0$ from dividend $10000000$

$$\begin{array}{l}\phantom{58)}0017\phantom{9}\\58\overline{)10000000}\\\phantom{58)}\underline{\phantom{9}58\phantom{99999}}\\\phantom{58)9}420\\\phantom{58)}\underline{\phantom{9}406\phantom{9999}}\\\phantom{58)99}140\\\end{array}$$

Find closest multiple of $58$ to $140$. We see that $2 \times 58 = 116$ is the nearest. Now subtract $116$ from $140$ to get reminder $24$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{58)}00172\phantom{10}\\58\overline{)10000000}\\\phantom{58)}\underline{\phantom{9}58\phantom{99999}}\\\phantom{58)9}420\\\phantom{58)}\underline{\phantom{9}406\phantom{9999}}\\\phantom{58)99}140\\\phantom{58)}\underline{\phantom{99}116\phantom{999}}\\\phantom{58)999}24\\\end{array}$$

Use the $6^{th}$ digit $0$ from dividend $10000000$

$$\begin{array}{l}\phantom{58)}00172\phantom{11}\\58\overline{)10000000}\\\phantom{58)}\underline{\phantom{9}58\phantom{99999}}\\\phantom{58)9}420\\\phantom{58)}\underline{\phantom{9}406\phantom{9999}}\\\phantom{58)99}140\\\phantom{58)}\underline{\phantom{99}116\phantom{999}}\\\phantom{58)999}240\\\end{array}$$

Find closest multiple of $58$ to $240$. We see that $4 \times 58 = 232$ is the nearest. Now subtract $232$ from $240$ to get reminder $8$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{58)}001724\phantom{12}\\58\overline{)10000000}\\\phantom{58)}\underline{\phantom{9}58\phantom{99999}}\\\phantom{58)9}420\\\phantom{58)}\underline{\phantom{9}406\phantom{9999}}\\\phantom{58)99}140\\\phantom{58)}\underline{\phantom{99}116\phantom{999}}\\\phantom{58)999}240\\\phantom{58)}\underline{\phantom{999}232\phantom{99}}\\\phantom{58)99999}8\\\end{array}$$

Use the $7^{th}$ digit $0$ from dividend $10000000$

$$\begin{array}{l}\phantom{58)}001724\phantom{13}\\58\overline{)10000000}\\\phantom{58)}\underline{\phantom{9}58\phantom{99999}}\\\phantom{58)9}420\\\phantom{58)}\underline{\phantom{9}406\phantom{9999}}\\\phantom{58)99}140\\\phantom{58)}\underline{\phantom{99}116\phantom{999}}\\\phantom{58)999}240\\\phantom{58)}\underline{\phantom{999}232\phantom{99}}\\\phantom{58)99999}80\\\end{array}$$

Find closest multiple of $58$ to $80$. We see that $1 \times 58 = 58$ is the nearest. Now subtract $58$ from $80$ to get reminder $22$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{58)}0017241\phantom{14}\\58\overline{)10000000}\\\phantom{58)}\underline{\phantom{9}58\phantom{99999}}\\\phantom{58)9}420\\\phantom{58)}\underline{\phantom{9}406\phantom{9999}}\\\phantom{58)99}140\\\phantom{58)}\underline{\phantom{99}116\phantom{999}}\\\phantom{58)999}240\\\phantom{58)}\underline{\phantom{999}232\phantom{99}}\\\phantom{58)99999}80\\\phantom{58)}\underline{\phantom{99999}58\phantom{9}}\\\phantom{58)99999}22\\\end{array}$$

Use the $8^{th}$ digit $0$ from dividend $10000000$

$$\begin{array}{l}\phantom{58)}0017241\phantom{15}\\58\overline{)10000000}\\\phantom{58)}\underline{\phantom{9}58\phantom{99999}}\\\phantom{58)9}420\\\phantom{58)}\underline{\phantom{9}406\phantom{9999}}\\\phantom{58)99}140\\\phantom{58)}\underline{\phantom{99}116\phantom{999}}\\\phantom{58)999}240\\\phantom{58)}\underline{\phantom{999}232\phantom{99}}\\\phantom{58)99999}80\\\phantom{58)}\underline{\phantom{99999}58\phantom{9}}\\\phantom{58)99999}220\\\end{array}$$

Find closest multiple of $58$ to $220$. We see that $3 \times 58 = 174$ is the nearest. Now subtract $174$ from $220$ to get reminder $46$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{58)}00172413\phantom{16}\\58\overline{)10000000}\\\phantom{58)}\underline{\phantom{9}58\phantom{99999}}\\\phantom{58)9}420\\\phantom{58)}\underline{\phantom{9}406\phantom{9999}}\\\phantom{58)99}140\\\phantom{58)}\underline{\phantom{99}116\phantom{999}}\\\phantom{58)999}240\\\phantom{58)}\underline{\phantom{999}232\phantom{99}}\\\phantom{58)99999}80\\\phantom{58)}\underline{\phantom{99999}58\phantom{9}}\\\phantom{58)99999}220\\\phantom{58)}\underline{\phantom{99999}174\phantom{}}\\\phantom{58)999999}46\\\end{array}$$

Since $46$ is less than $58$, stop the division. The reminder is $46$. The topmost line $00172413$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $172413$.

$$\text{Quotient: }172413$$ $$\text{Reminder: }46$$

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