How to solve 864839/73

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 864839/73 | Equatix

Use the $1^{st}$ digit $8$ from dividend $864839$

$$\begin{array}{l}\phantom{73)}\phantom{1}\\73\overline{)864839}\\\end{array}$$

Since $8$ is less than $73$, use the next digit $6$ from dividend $864839$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{73)}0\phantom{2}\\73\overline{)864839}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $864839$

$$\begin{array}{l}\phantom{73)}0\phantom{3}\\73\overline{)864839}\\\end{array}$$

Find closest multiple of $73$ to $86$. We see that $1 \times 73 = 73$ is the nearest. Now subtract $73$ from $86$ to get reminder $13$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{73)}01\phantom{4}\\73\overline{)864839}\\\phantom{73)}\underline{\phantom{}73\phantom{9999}}\\\phantom{73)}13\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $864839$

$$\begin{array}{l}\phantom{73)}01\phantom{5}\\73\overline{)864839}\\\phantom{73)}\underline{\phantom{}73\phantom{9999}}\\\phantom{73)}134\\\end{array}$$

Find closest multiple of $73$ to $134$. We see that $1 \times 73 = 73$ is the nearest. Now subtract $73$ from $134$ to get reminder $61$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{73)}011\phantom{6}\\73\overline{)864839}\\\phantom{73)}\underline{\phantom{}73\phantom{9999}}\\\phantom{73)}134\\\phantom{73)}\underline{\phantom{9}73\phantom{999}}\\\phantom{73)9}61\\\end{array}$$

Use the $4^{th}$ digit $8$ from dividend $864839$

$$\begin{array}{l}\phantom{73)}011\phantom{7}\\73\overline{)864839}\\\phantom{73)}\underline{\phantom{}73\phantom{9999}}\\\phantom{73)}134\\\phantom{73)}\underline{\phantom{9}73\phantom{999}}\\\phantom{73)9}618\\\end{array}$$

Find closest multiple of $73$ to $618$. We see that $8 \times 73 = 584$ is the nearest. Now subtract $584$ from $618$ to get reminder $34$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{73)}0118\phantom{8}\\73\overline{)864839}\\\phantom{73)}\underline{\phantom{}73\phantom{9999}}\\\phantom{73)}134\\\phantom{73)}\underline{\phantom{9}73\phantom{999}}\\\phantom{73)9}618\\\phantom{73)}\underline{\phantom{9}584\phantom{99}}\\\phantom{73)99}34\\\end{array}$$

Use the $5^{th}$ digit $3$ from dividend $864839$

$$\begin{array}{l}\phantom{73)}0118\phantom{9}\\73\overline{)864839}\\\phantom{73)}\underline{\phantom{}73\phantom{9999}}\\\phantom{73)}134\\\phantom{73)}\underline{\phantom{9}73\phantom{999}}\\\phantom{73)9}618\\\phantom{73)}\underline{\phantom{9}584\phantom{99}}\\\phantom{73)99}343\\\end{array}$$

Find closest multiple of $73$ to $343$. We see that $4 \times 73 = 292$ is the nearest. Now subtract $292$ from $343$ to get reminder $51$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{73)}01184\phantom{10}\\73\overline{)864839}\\\phantom{73)}\underline{\phantom{}73\phantom{9999}}\\\phantom{73)}134\\\phantom{73)}\underline{\phantom{9}73\phantom{999}}\\\phantom{73)9}618\\\phantom{73)}\underline{\phantom{9}584\phantom{99}}\\\phantom{73)99}343\\\phantom{73)}\underline{\phantom{99}292\phantom{9}}\\\phantom{73)999}51\\\end{array}$$

Use the $6^{th}$ digit $9$ from dividend $864839$

$$\begin{array}{l}\phantom{73)}01184\phantom{11}\\73\overline{)864839}\\\phantom{73)}\underline{\phantom{}73\phantom{9999}}\\\phantom{73)}134\\\phantom{73)}\underline{\phantom{9}73\phantom{999}}\\\phantom{73)9}618\\\phantom{73)}\underline{\phantom{9}584\phantom{99}}\\\phantom{73)99}343\\\phantom{73)}\underline{\phantom{99}292\phantom{9}}\\\phantom{73)999}519\\\end{array}$$

Find closest multiple of $73$ to $519$. We see that $7 \times 73 = 511$ is the nearest. Now subtract $511$ from $519$ to get reminder $8$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{73)}011847\phantom{12}\\73\overline{)864839}\\\phantom{73)}\underline{\phantom{}73\phantom{9999}}\\\phantom{73)}134\\\phantom{73)}\underline{\phantom{9}73\phantom{999}}\\\phantom{73)9}618\\\phantom{73)}\underline{\phantom{9}584\phantom{99}}\\\phantom{73)99}343\\\phantom{73)}\underline{\phantom{99}292\phantom{9}}\\\phantom{73)999}519\\\phantom{73)}\underline{\phantom{999}511\phantom{}}\\\phantom{73)99999}8\\\end{array}$$

Since $8$ is less than $73$, stop the division. The reminder is $8$. The topmost line $011847$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $11847$.

$$\text{Quotient: }11847$$ $$\text{Reminder: }8$$

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