How to solve 63587/23

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 63587/23 | Equatix

Question

$$63587/23$$

Evaluate

$\frac{63587}{23}\approx 2764.652173913$

Steps For Long Division Method

Use the $1^{st}$ digit $6$ from dividend $63587$

$$\begin{array}{l}\phantom{23)}\phantom{1}\\23\overline{)63587}\\\end{array}$$

Since $6$ is less than $23$, use the next digit $3$ from dividend $63587$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{23)}0\phantom{2}\\23\overline{)63587}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $63587$

$$\begin{array}{l}\phantom{23)}0\phantom{3}\\23\overline{)63587}\\\end{array}$$

Find closest multiple of $23$ to $63$. We see that $2 \times 23 = 46$ is the nearest. Now subtract $46$ from $63$ to get reminder $17$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{23)}02\phantom{4}\\23\overline{)63587}\\\phantom{23)}\underline{\phantom{}46\phantom{999}}\\\phantom{23)}17\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $63587$

$$\begin{array}{l}\phantom{23)}02\phantom{5}\\23\overline{)63587}\\\phantom{23)}\underline{\phantom{}46\phantom{999}}\\\phantom{23)}175\\\end{array}$$

Find closest multiple of $23$ to $175$. We see that $7 \times 23 = 161$ is the nearest. Now subtract $161$ from $175$ to get reminder $14$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{23)}027\phantom{6}\\23\overline{)63587}\\\phantom{23)}\underline{\phantom{}46\phantom{999}}\\\phantom{23)}175\\\phantom{23)}\underline{\phantom{}161\phantom{99}}\\\phantom{23)9}14\\\end{array}$$

Use the $4^{th}$ digit $8$ from dividend $63587$

$$\begin{array}{l}\phantom{23)}027\phantom{7}\\23\overline{)63587}\\\phantom{23)}\underline{\phantom{}46\phantom{999}}\\\phantom{23)}175\\\phantom{23)}\underline{\phantom{}161\phantom{99}}\\\phantom{23)9}148\\\end{array}$$

Find closest multiple of $23$ to $148$. We see that $6 \times 23 = 138$ is the nearest. Now subtract $138$ from $148$ to get reminder $10$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{23)}0276\phantom{8}\\23\overline{)63587}\\\phantom{23)}\underline{\phantom{}46\phantom{999}}\\\phantom{23)}175\\\phantom{23)}\underline{\phantom{}161\phantom{99}}\\\phantom{23)9}148\\\phantom{23)}\underline{\phantom{9}138\phantom{9}}\\\phantom{23)99}10\\\end{array}$$

Use the $5^{th}$ digit $7$ from dividend $63587$

$$\begin{array}{l}\phantom{23)}0276\phantom{9}\\23\overline{)63587}\\\phantom{23)}\underline{\phantom{}46\phantom{999}}\\\phantom{23)}175\\\phantom{23)}\underline{\phantom{}161\phantom{99}}\\\phantom{23)9}148\\\phantom{23)}\underline{\phantom{9}138\phantom{9}}\\\phantom{23)99}107\\\end{array}$$

Find closest multiple of $23$ to $107$. We see that $4 \times 23 = 92$ is the nearest. Now subtract $92$ from $107$ to get reminder $15$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{23)}02764\phantom{10}\\23\overline{)63587}\\\phantom{23)}\underline{\phantom{}46\phantom{999}}\\\phantom{23)}175\\\phantom{23)}\underline{\phantom{}161\phantom{99}}\\\phantom{23)9}148\\\phantom{23)}\underline{\phantom{9}138\phantom{9}}\\\phantom{23)99}107\\\phantom{23)}\underline{\phantom{999}92\phantom{}}\\\phantom{23)999}15\\\end{array}$$

Since $15$ is less than $23$, stop the division. The reminder is $15$. The topmost line $02764$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $2764$.

$$\text{Quotient: }2764$$ $$\text{Reminder: }15$$

Show Solution

Factor

$\frac{63587}{23} = 2764\frac{15}{23} = 2764.6521739130435$

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Steps For Long Division Method

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