How to solve 5246796/87

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 5246796/87 | Equatix

Use the $1^{st}$ digit $5$ from dividend $5246796$

$$\begin{array}{l}\phantom{87)}\phantom{1}\\87\overline{)5246796}\\\end{array}$$

Since $5$ is less than $87$, use the next digit $2$ from dividend $5246796$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{87)}0\phantom{2}\\87\overline{)5246796}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $5246796$

$$\begin{array}{l}\phantom{87)}0\phantom{3}\\87\overline{)5246796}\\\end{array}$$

Since $52$ is less than $87$, use the next digit $4$ from dividend $5246796$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{87)}00\phantom{4}\\87\overline{)5246796}\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $5246796$

$$\begin{array}{l}\phantom{87)}00\phantom{5}\\87\overline{)5246796}\\\end{array}$$

Find closest multiple of $87$ to $524$. We see that $6 \times 87 = 522$ is the nearest. Now subtract $522$ from $524$ to get reminder $2$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{87)}006\phantom{6}\\87\overline{)5246796}\\\phantom{87)}\underline{\phantom{}522\phantom{9999}}\\\phantom{87)99}2\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $5246796$

$$\begin{array}{l}\phantom{87)}006\phantom{7}\\87\overline{)5246796}\\\phantom{87)}\underline{\phantom{}522\phantom{9999}}\\\phantom{87)99}26\\\end{array}$$

Since $26$ is less than $87$, use the next digit $7$ from dividend $5246796$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{87)}0060\phantom{8}\\87\overline{)5246796}\\\phantom{87)}\underline{\phantom{}522\phantom{9999}}\\\phantom{87)99}26\\\end{array}$$

Use the $5^{th}$ digit $7$ from dividend $5246796$

$$\begin{array}{l}\phantom{87)}0060\phantom{9}\\87\overline{)5246796}\\\phantom{87)}\underline{\phantom{}522\phantom{9999}}\\\phantom{87)99}267\\\end{array}$$

Find closest multiple of $87$ to $267$. We see that $3 \times 87 = 261$ is the nearest. Now subtract $261$ from $267$ to get reminder $6$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{87)}00603\phantom{10}\\87\overline{)5246796}\\\phantom{87)}\underline{\phantom{}522\phantom{9999}}\\\phantom{87)99}267\\\phantom{87)}\underline{\phantom{99}261\phantom{99}}\\\phantom{87)9999}6\\\end{array}$$

Use the $6^{th}$ digit $9$ from dividend $5246796$

$$\begin{array}{l}\phantom{87)}00603\phantom{11}\\87\overline{)5246796}\\\phantom{87)}\underline{\phantom{}522\phantom{9999}}\\\phantom{87)99}267\\\phantom{87)}\underline{\phantom{99}261\phantom{99}}\\\phantom{87)9999}69\\\end{array}$$

Since $69$ is less than $87$, use the next digit $6$ from dividend $5246796$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{87)}006030\phantom{12}\\87\overline{)5246796}\\\phantom{87)}\underline{\phantom{}522\phantom{9999}}\\\phantom{87)99}267\\\phantom{87)}\underline{\phantom{99}261\phantom{99}}\\\phantom{87)9999}69\\\end{array}$$

Use the $7^{th}$ digit $6$ from dividend $5246796$

$$\begin{array}{l}\phantom{87)}006030\phantom{13}\\87\overline{)5246796}\\\phantom{87)}\underline{\phantom{}522\phantom{9999}}\\\phantom{87)99}267\\\phantom{87)}\underline{\phantom{99}261\phantom{99}}\\\phantom{87)9999}696\\\end{array}$$

Find closest multiple of $87$ to $696$. We see that $8 \times 87 = 696$ is the nearest. Now subtract $696$ from $696$ to get reminder $0$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{87)}0060308\phantom{14}\\87\overline{)5246796}\\\phantom{87)}\underline{\phantom{}522\phantom{9999}}\\\phantom{87)99}267\\\phantom{87)}\underline{\phantom{99}261\phantom{99}}\\\phantom{87)9999}696\\\phantom{87)}\underline{\phantom{9999}696\phantom{}}\\\phantom{87)9999999}0\\\end{array}$$

Since $0$ is less than $87$, stop the division. The reminder is $0$. The topmost line $0060308$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $60308$.

$$\text{Quotient: }60308$$ $$\text{Reminder: }0$$

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