How to solve 6394864/83

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 6394864/83 | Equatix

Use the $1^{st}$ digit $6$ from dividend $6394864$

$$\begin{array}{l}\phantom{83)}\phantom{1}\\83\overline{)6394864}\\\end{array}$$

Since $6$ is less than $83$, use the next digit $3$ from dividend $6394864$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{83)}0\phantom{2}\\83\overline{)6394864}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $6394864$

$$\begin{array}{l}\phantom{83)}0\phantom{3}\\83\overline{)6394864}\\\end{array}$$

Since $63$ is less than $83$, use the next digit $9$ from dividend $6394864$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{83)}00\phantom{4}\\83\overline{)6394864}\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $6394864$

$$\begin{array}{l}\phantom{83)}00\phantom{5}\\83\overline{)6394864}\\\end{array}$$

Find closest multiple of $83$ to $639$. We see that $7 \times 83 = 581$ is the nearest. Now subtract $581$ from $639$ to get reminder $58$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{83)}007\phantom{6}\\83\overline{)6394864}\\\phantom{83)}\underline{\phantom{}581\phantom{9999}}\\\phantom{83)9}58\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $6394864$

$$\begin{array}{l}\phantom{83)}007\phantom{7}\\83\overline{)6394864}\\\phantom{83)}\underline{\phantom{}581\phantom{9999}}\\\phantom{83)9}584\\\end{array}$$

Find closest multiple of $83$ to $584$. We see that $7 \times 83 = 581$ is the nearest. Now subtract $581$ from $584$ to get reminder $3$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{83)}0077\phantom{8}\\83\overline{)6394864}\\\phantom{83)}\underline{\phantom{}581\phantom{9999}}\\\phantom{83)9}584\\\phantom{83)}\underline{\phantom{9}581\phantom{999}}\\\phantom{83)999}3\\\end{array}$$

Use the $5^{th}$ digit $8$ from dividend $6394864$

$$\begin{array}{l}\phantom{83)}0077\phantom{9}\\83\overline{)6394864}\\\phantom{83)}\underline{\phantom{}581\phantom{9999}}\\\phantom{83)9}584\\\phantom{83)}\underline{\phantom{9}581\phantom{999}}\\\phantom{83)999}38\\\end{array}$$

Since $38$ is less than $83$, use the next digit $6$ from dividend $6394864$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{83)}00770\phantom{10}\\83\overline{)6394864}\\\phantom{83)}\underline{\phantom{}581\phantom{9999}}\\\phantom{83)9}584\\\phantom{83)}\underline{\phantom{9}581\phantom{999}}\\\phantom{83)999}38\\\end{array}$$

Use the $6^{th}$ digit $6$ from dividend $6394864$

$$\begin{array}{l}\phantom{83)}00770\phantom{11}\\83\overline{)6394864}\\\phantom{83)}\underline{\phantom{}581\phantom{9999}}\\\phantom{83)9}584\\\phantom{83)}\underline{\phantom{9}581\phantom{999}}\\\phantom{83)999}386\\\end{array}$$

Find closest multiple of $83$ to $386$. We see that $4 \times 83 = 332$ is the nearest. Now subtract $332$ from $386$ to get reminder $54$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{83)}007704\phantom{12}\\83\overline{)6394864}\\\phantom{83)}\underline{\phantom{}581\phantom{9999}}\\\phantom{83)9}584\\\phantom{83)}\underline{\phantom{9}581\phantom{999}}\\\phantom{83)999}386\\\phantom{83)}\underline{\phantom{999}332\phantom{9}}\\\phantom{83)9999}54\\\end{array}$$

Use the $7^{th}$ digit $4$ from dividend $6394864$

$$\begin{array}{l}\phantom{83)}007704\phantom{13}\\83\overline{)6394864}\\\phantom{83)}\underline{\phantom{}581\phantom{9999}}\\\phantom{83)9}584\\\phantom{83)}\underline{\phantom{9}581\phantom{999}}\\\phantom{83)999}386\\\phantom{83)}\underline{\phantom{999}332\phantom{9}}\\\phantom{83)9999}544\\\end{array}$$

Find closest multiple of $83$ to $544$. We see that $6 \times 83 = 498$ is the nearest. Now subtract $498$ from $544$ to get reminder $46$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{83)}0077046\phantom{14}\\83\overline{)6394864}\\\phantom{83)}\underline{\phantom{}581\phantom{9999}}\\\phantom{83)9}584\\\phantom{83)}\underline{\phantom{9}581\phantom{999}}\\\phantom{83)999}386\\\phantom{83)}\underline{\phantom{999}332\phantom{9}}\\\phantom{83)9999}544\\\phantom{83)}\underline{\phantom{9999}498\phantom{}}\\\phantom{83)99999}46\\\end{array}$$

Since $46$ is less than $83$, stop the division. The reminder is $46$. The topmost line $0077046$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $77046$.

$$\text{Quotient: }77046$$ $$\text{Reminder: }46$$

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