How to solve 34782864/68

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 34782864/68 | Equatix

Use the $1^{st}$ digit $3$ from dividend $34782864$

$$\begin{array}{l}\phantom{68)}\phantom{1}\\68\overline{)34782864}\\\end{array}$$

Since $3$ is less than $68$, use the next digit $4$ from dividend $34782864$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{68)}0\phantom{2}\\68\overline{)34782864}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $34782864$

$$\begin{array}{l}\phantom{68)}0\phantom{3}\\68\overline{)34782864}\\\end{array}$$

Since $34$ is less than $68$, use the next digit $7$ from dividend $34782864$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{68)}00\phantom{4}\\68\overline{)34782864}\\\end{array}$$

Use the $3^{rd}$ digit $7$ from dividend $34782864$

$$\begin{array}{l}\phantom{68)}00\phantom{5}\\68\overline{)34782864}\\\end{array}$$

Find closest multiple of $68$ to $347$. We see that $5 \times 68 = 340$ is the nearest. Now subtract $340$ from $347$ to get reminder $7$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{68)}005\phantom{6}\\68\overline{)34782864}\\\phantom{68)}\underline{\phantom{}340\phantom{99999}}\\\phantom{68)99}7\\\end{array}$$

Use the $4^{th}$ digit $8$ from dividend $34782864$

$$\begin{array}{l}\phantom{68)}005\phantom{7}\\68\overline{)34782864}\\\phantom{68)}\underline{\phantom{}340\phantom{99999}}\\\phantom{68)99}78\\\end{array}$$

Find closest multiple of $68$ to $78$. We see that $1 \times 68 = 68$ is the nearest. Now subtract $68$ from $78$ to get reminder $10$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{68)}0051\phantom{8}\\68\overline{)34782864}\\\phantom{68)}\underline{\phantom{}340\phantom{99999}}\\\phantom{68)99}78\\\phantom{68)}\underline{\phantom{99}68\phantom{9999}}\\\phantom{68)99}10\\\end{array}$$

Use the $5^{th}$ digit $2$ from dividend $34782864$

$$\begin{array}{l}\phantom{68)}0051\phantom{9}\\68\overline{)34782864}\\\phantom{68)}\underline{\phantom{}340\phantom{99999}}\\\phantom{68)99}78\\\phantom{68)}\underline{\phantom{99}68\phantom{9999}}\\\phantom{68)99}102\\\end{array}$$

Find closest multiple of $68$ to $102$. We see that $1 \times 68 = 68$ is the nearest. Now subtract $68$ from $102$ to get reminder $34$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{68)}00511\phantom{10}\\68\overline{)34782864}\\\phantom{68)}\underline{\phantom{}340\phantom{99999}}\\\phantom{68)99}78\\\phantom{68)}\underline{\phantom{99}68\phantom{9999}}\\\phantom{68)99}102\\\phantom{68)}\underline{\phantom{999}68\phantom{999}}\\\phantom{68)999}34\\\end{array}$$

Use the $6^{th}$ digit $8$ from dividend $34782864$

$$\begin{array}{l}\phantom{68)}00511\phantom{11}\\68\overline{)34782864}\\\phantom{68)}\underline{\phantom{}340\phantom{99999}}\\\phantom{68)99}78\\\phantom{68)}\underline{\phantom{99}68\phantom{9999}}\\\phantom{68)99}102\\\phantom{68)}\underline{\phantom{999}68\phantom{999}}\\\phantom{68)999}348\\\end{array}$$

Find closest multiple of $68$ to $348$. We see that $5 \times 68 = 340$ is the nearest. Now subtract $340$ from $348$ to get reminder $8$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{68)}005115\phantom{12}\\68\overline{)34782864}\\\phantom{68)}\underline{\phantom{}340\phantom{99999}}\\\phantom{68)99}78\\\phantom{68)}\underline{\phantom{99}68\phantom{9999}}\\\phantom{68)99}102\\\phantom{68)}\underline{\phantom{999}68\phantom{999}}\\\phantom{68)999}348\\\phantom{68)}\underline{\phantom{999}340\phantom{99}}\\\phantom{68)99999}8\\\end{array}$$

Use the $7^{th}$ digit $6$ from dividend $34782864$

$$\begin{array}{l}\phantom{68)}005115\phantom{13}\\68\overline{)34782864}\\\phantom{68)}\underline{\phantom{}340\phantom{99999}}\\\phantom{68)99}78\\\phantom{68)}\underline{\phantom{99}68\phantom{9999}}\\\phantom{68)99}102\\\phantom{68)}\underline{\phantom{999}68\phantom{999}}\\\phantom{68)999}348\\\phantom{68)}\underline{\phantom{999}340\phantom{99}}\\\phantom{68)99999}86\\\end{array}$$

Find closest multiple of $68$ to $86$. We see that $1 \times 68 = 68$ is the nearest. Now subtract $68$ from $86$ to get reminder $18$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{68)}0051151\phantom{14}\\68\overline{)34782864}\\\phantom{68)}\underline{\phantom{}340\phantom{99999}}\\\phantom{68)99}78\\\phantom{68)}\underline{\phantom{99}68\phantom{9999}}\\\phantom{68)99}102\\\phantom{68)}\underline{\phantom{999}68\phantom{999}}\\\phantom{68)999}348\\\phantom{68)}\underline{\phantom{999}340\phantom{99}}\\\phantom{68)99999}86\\\phantom{68)}\underline{\phantom{99999}68\phantom{9}}\\\phantom{68)99999}18\\\end{array}$$

Use the $8^{th}$ digit $4$ from dividend $34782864$

$$\begin{array}{l}\phantom{68)}0051151\phantom{15}\\68\overline{)34782864}\\\phantom{68)}\underline{\phantom{}340\phantom{99999}}\\\phantom{68)99}78\\\phantom{68)}\underline{\phantom{99}68\phantom{9999}}\\\phantom{68)99}102\\\phantom{68)}\underline{\phantom{999}68\phantom{999}}\\\phantom{68)999}348\\\phantom{68)}\underline{\phantom{999}340\phantom{99}}\\\phantom{68)99999}86\\\phantom{68)}\underline{\phantom{99999}68\phantom{9}}\\\phantom{68)99999}184\\\end{array}$$

Find closest multiple of $68$ to $184$. We see that $2 \times 68 = 136$ is the nearest. Now subtract $136$ from $184$ to get reminder $48$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{68)}00511512\phantom{16}\\68\overline{)34782864}\\\phantom{68)}\underline{\phantom{}340\phantom{99999}}\\\phantom{68)99}78\\\phantom{68)}\underline{\phantom{99}68\phantom{9999}}\\\phantom{68)99}102\\\phantom{68)}\underline{\phantom{999}68\phantom{999}}\\\phantom{68)999}348\\\phantom{68)}\underline{\phantom{999}340\phantom{99}}\\\phantom{68)99999}86\\\phantom{68)}\underline{\phantom{99999}68\phantom{9}}\\\phantom{68)99999}184\\\phantom{68)}\underline{\phantom{99999}136\phantom{}}\\\phantom{68)999999}48\\\end{array}$$

Since $48$ is less than $68$, stop the division. The reminder is $48$. The topmost line $00511512$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $511512$.

$$\text{Quotient: }511512$$ $$\text{Reminder: }48$$

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