How to solve (793280207)/(479)

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 (793280207)/(479) | Equatix

Use the $1^{st}$ digit $7$ from dividend $793280207$

$$\begin{array}{l}\phantom{479)}\phantom{1}\\479\overline{)793280207}\\\end{array}$$

Since $7$ is less than $479$, use the next digit $9$ from dividend $793280207$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{479)}0\phantom{2}\\479\overline{)793280207}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $793280207$

$$\begin{array}{l}\phantom{479)}0\phantom{3}\\479\overline{)793280207}\\\end{array}$$

Since $79$ is less than $479$, use the next digit $3$ from dividend $793280207$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{479)}00\phantom{4}\\479\overline{)793280207}\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $793280207$

$$\begin{array}{l}\phantom{479)}00\phantom{5}\\479\overline{)793280207}\\\end{array}$$

Find closest multiple of $479$ to $793$. We see that $1 \times 479 = 479$ is the nearest. Now subtract $479$ from $793$ to get reminder $314$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{479)}001\phantom{6}\\479\overline{)793280207}\\\phantom{479)}\underline{\phantom{}479\phantom{999999}}\\\phantom{479)}314\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $793280207$

$$\begin{array}{l}\phantom{479)}001\phantom{7}\\479\overline{)793280207}\\\phantom{479)}\underline{\phantom{}479\phantom{999999}}\\\phantom{479)}3142\\\end{array}$$

Find closest multiple of $479$ to $3142$. We see that $6 \times 479 = 2874$ is the nearest. Now subtract $2874$ from $3142$ to get reminder $268$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{479)}0016\phantom{8}\\479\overline{)793280207}\\\phantom{479)}\underline{\phantom{}479\phantom{999999}}\\\phantom{479)}3142\\\phantom{479)}\underline{\phantom{}2874\phantom{99999}}\\\phantom{479)9}268\\\end{array}$$

Use the $5^{th}$ digit $8$ from dividend $793280207$

$$\begin{array}{l}\phantom{479)}0016\phantom{9}\\479\overline{)793280207}\\\phantom{479)}\underline{\phantom{}479\phantom{999999}}\\\phantom{479)}3142\\\phantom{479)}\underline{\phantom{}2874\phantom{99999}}\\\phantom{479)9}2688\\\end{array}$$

Find closest multiple of $479$ to $2688$. We see that $5 \times 479 = 2395$ is the nearest. Now subtract $2395$ from $2688$ to get reminder $293$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{479)}00165\phantom{10}\\479\overline{)793280207}\\\phantom{479)}\underline{\phantom{}479\phantom{999999}}\\\phantom{479)}3142\\\phantom{479)}\underline{\phantom{}2874\phantom{99999}}\\\phantom{479)9}2688\\\phantom{479)}\underline{\phantom{9}2395\phantom{9999}}\\\phantom{479)99}293\\\end{array}$$

Use the $6^{th}$ digit $0$ from dividend $793280207$

$$\begin{array}{l}\phantom{479)}00165\phantom{11}\\479\overline{)793280207}\\\phantom{479)}\underline{\phantom{}479\phantom{999999}}\\\phantom{479)}3142\\\phantom{479)}\underline{\phantom{}2874\phantom{99999}}\\\phantom{479)9}2688\\\phantom{479)}\underline{\phantom{9}2395\phantom{9999}}\\\phantom{479)99}2930\\\end{array}$$

Find closest multiple of $479$ to $2930$. We see that $6 \times 479 = 2874$ is the nearest. Now subtract $2874$ from $2930$ to get reminder $56$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{479)}001656\phantom{12}\\479\overline{)793280207}\\\phantom{479)}\underline{\phantom{}479\phantom{999999}}\\\phantom{479)}3142\\\phantom{479)}\underline{\phantom{}2874\phantom{99999}}\\\phantom{479)9}2688\\\phantom{479)}\underline{\phantom{9}2395\phantom{9999}}\\\phantom{479)99}2930\\\phantom{479)}\underline{\phantom{99}2874\phantom{999}}\\\phantom{479)9999}56\\\end{array}$$

Use the $7^{th}$ digit $2$ from dividend $793280207$

$$\begin{array}{l}\phantom{479)}001656\phantom{13}\\479\overline{)793280207}\\\phantom{479)}\underline{\phantom{}479\phantom{999999}}\\\phantom{479)}3142\\\phantom{479)}\underline{\phantom{}2874\phantom{99999}}\\\phantom{479)9}2688\\\phantom{479)}\underline{\phantom{9}2395\phantom{9999}}\\\phantom{479)99}2930\\\phantom{479)}\underline{\phantom{99}2874\phantom{999}}\\\phantom{479)9999}562\\\end{array}$$

Find closest multiple of $479$ to $562$. We see that $1 \times 479 = 479$ is the nearest. Now subtract $479$ from $562$ to get reminder $83$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{479)}0016561\phantom{14}\\479\overline{)793280207}\\\phantom{479)}\underline{\phantom{}479\phantom{999999}}\\\phantom{479)}3142\\\phantom{479)}\underline{\phantom{}2874\phantom{99999}}\\\phantom{479)9}2688\\\phantom{479)}\underline{\phantom{9}2395\phantom{9999}}\\\phantom{479)99}2930\\\phantom{479)}\underline{\phantom{99}2874\phantom{999}}\\\phantom{479)9999}562\\\phantom{479)}\underline{\phantom{9999}479\phantom{99}}\\\phantom{479)99999}83\\\end{array}$$

Use the $8^{th}$ digit $0$ from dividend $793280207$

$$\begin{array}{l}\phantom{479)}0016561\phantom{15}\\479\overline{)793280207}\\\phantom{479)}\underline{\phantom{}479\phantom{999999}}\\\phantom{479)}3142\\\phantom{479)}\underline{\phantom{}2874\phantom{99999}}\\\phantom{479)9}2688\\\phantom{479)}\underline{\phantom{9}2395\phantom{9999}}\\\phantom{479)99}2930\\\phantom{479)}\underline{\phantom{99}2874\phantom{999}}\\\phantom{479)9999}562\\\phantom{479)}\underline{\phantom{9999}479\phantom{99}}\\\phantom{479)99999}830\\\end{array}$$

Find closest multiple of $479$ to $830$. We see that $1 \times 479 = 479$ is the nearest. Now subtract $479$ from $830$ to get reminder $351$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{479)}00165611\phantom{16}\\479\overline{)793280207}\\\phantom{479)}\underline{\phantom{}479\phantom{999999}}\\\phantom{479)}3142\\\phantom{479)}\underline{\phantom{}2874\phantom{99999}}\\\phantom{479)9}2688\\\phantom{479)}\underline{\phantom{9}2395\phantom{9999}}\\\phantom{479)99}2930\\\phantom{479)}\underline{\phantom{99}2874\phantom{999}}\\\phantom{479)9999}562\\\phantom{479)}\underline{\phantom{9999}479\phantom{99}}\\\phantom{479)99999}830\\\phantom{479)}\underline{\phantom{99999}479\phantom{9}}\\\phantom{479)99999}351\\\end{array}$$

Use the $9^{th}$ digit $7$ from dividend $793280207$

$$\begin{array}{l}\phantom{479)}00165611\phantom{17}\\479\overline{)793280207}\\\phantom{479)}\underline{\phantom{}479\phantom{999999}}\\\phantom{479)}3142\\\phantom{479)}\underline{\phantom{}2874\phantom{99999}}\\\phantom{479)9}2688\\\phantom{479)}\underline{\phantom{9}2395\phantom{9999}}\\\phantom{479)99}2930\\\phantom{479)}\underline{\phantom{99}2874\phantom{999}}\\\phantom{479)9999}562\\\phantom{479)}\underline{\phantom{9999}479\phantom{99}}\\\phantom{479)99999}830\\\phantom{479)}\underline{\phantom{99999}479\phantom{9}}\\\phantom{479)99999}3517\\\end{array}$$

Find closest multiple of $479$ to $3517$. We see that $7 \times 479 = 3353$ is the nearest. Now subtract $3353$ from $3517$ to get reminder $164$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{479)}001656117\phantom{18}\\479\overline{)793280207}\\\phantom{479)}\underline{\phantom{}479\phantom{999999}}\\\phantom{479)}3142\\\phantom{479)}\underline{\phantom{}2874\phantom{99999}}\\\phantom{479)9}2688\\\phantom{479)}\underline{\phantom{9}2395\phantom{9999}}\\\phantom{479)99}2930\\\phantom{479)}\underline{\phantom{99}2874\phantom{999}}\\\phantom{479)9999}562\\\phantom{479)}\underline{\phantom{9999}479\phantom{99}}\\\phantom{479)99999}830\\\phantom{479)}\underline{\phantom{99999}479\phantom{9}}\\\phantom{479)99999}3517\\\phantom{479)}\underline{\phantom{99999}3353\phantom{}}\\\phantom{479)999999}164\\\end{array}$$

Since $164$ is less than $479$, stop the division. The reminder is $164$. The topmost line $001656117$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1656117$.

$$\text{Quotient: }1656117$$ $$\text{Reminder: }164$$

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