How to solve 744807/87

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 744807/87 | Equatix

Use the $1^{st}$ digit $7$ from dividend $744807$

$$\begin{array}{l}\phantom{87)}\phantom{1}\\87\overline{)744807}\\\end{array}$$

Since $7$ is less than $87$, use the next digit $4$ from dividend $744807$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{87)}0\phantom{2}\\87\overline{)744807}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $744807$

$$\begin{array}{l}\phantom{87)}0\phantom{3}\\87\overline{)744807}\\\end{array}$$

Since $74$ is less than $87$, use the next digit $4$ from dividend $744807$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{87)}00\phantom{4}\\87\overline{)744807}\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $744807$

$$\begin{array}{l}\phantom{87)}00\phantom{5}\\87\overline{)744807}\\\end{array}$$

Find closest multiple of $87$ to $744$. We see that $8 \times 87 = 696$ is the nearest. Now subtract $696$ from $744$ to get reminder $48$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{87)}008\phantom{6}\\87\overline{)744807}\\\phantom{87)}\underline{\phantom{}696\phantom{999}}\\\phantom{87)9}48\\\end{array}$$

Use the $4^{th}$ digit $8$ from dividend $744807$

$$\begin{array}{l}\phantom{87)}008\phantom{7}\\87\overline{)744807}\\\phantom{87)}\underline{\phantom{}696\phantom{999}}\\\phantom{87)9}488\\\end{array}$$

Find closest multiple of $87$ to $488$. We see that $5 \times 87 = 435$ is the nearest. Now subtract $435$ from $488$ to get reminder $53$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{87)}0085\phantom{8}\\87\overline{)744807}\\\phantom{87)}\underline{\phantom{}696\phantom{999}}\\\phantom{87)9}488\\\phantom{87)}\underline{\phantom{9}435\phantom{99}}\\\phantom{87)99}53\\\end{array}$$

Use the $5^{th}$ digit $0$ from dividend $744807$

$$\begin{array}{l}\phantom{87)}0085\phantom{9}\\87\overline{)744807}\\\phantom{87)}\underline{\phantom{}696\phantom{999}}\\\phantom{87)9}488\\\phantom{87)}\underline{\phantom{9}435\phantom{99}}\\\phantom{87)99}530\\\end{array}$$

Find closest multiple of $87$ to $530$. We see that $6 \times 87 = 522$ is the nearest. Now subtract $522$ from $530$ to get reminder $8$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{87)}00856\phantom{10}\\87\overline{)744807}\\\phantom{87)}\underline{\phantom{}696\phantom{999}}\\\phantom{87)9}488\\\phantom{87)}\underline{\phantom{9}435\phantom{99}}\\\phantom{87)99}530\\\phantom{87)}\underline{\phantom{99}522\phantom{9}}\\\phantom{87)9999}8\\\end{array}$$

Use the $6^{th}$ digit $7$ from dividend $744807$

$$\begin{array}{l}\phantom{87)}00856\phantom{11}\\87\overline{)744807}\\\phantom{87)}\underline{\phantom{}696\phantom{999}}\\\phantom{87)9}488\\\phantom{87)}\underline{\phantom{9}435\phantom{99}}\\\phantom{87)99}530\\\phantom{87)}\underline{\phantom{99}522\phantom{9}}\\\phantom{87)9999}87\\\end{array}$$

Find closest multiple of $87$ to $87$. We see that $1 \times 87 = 87$ is the nearest. Now subtract $87$ from $87$ to get reminder $0$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{87)}008561\phantom{12}\\87\overline{)744807}\\\phantom{87)}\underline{\phantom{}696\phantom{999}}\\\phantom{87)9}488\\\phantom{87)}\underline{\phantom{9}435\phantom{99}}\\\phantom{87)99}530\\\phantom{87)}\underline{\phantom{99}522\phantom{9}}\\\phantom{87)9999}87\\\phantom{87)}\underline{\phantom{9999}87\phantom{}}\\\phantom{87)999999}0\\\end{array}$$

Since $0$ is less than $87$, stop the division. The reminder is $0$. The topmost line $008561$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $8561$.

$$\text{Quotient: }8561$$ $$\text{Reminder: }0$$

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