How to solve 57582/24

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 57582/24 | Equatix

Use the $1^{st}$ digit $5$ from dividend $57582$

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)57582}\\\end{array}$$

Since $5$ is less than $24$, use the next digit $7$ from dividend $57582$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)57582}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $57582$

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)57582}\\\end{array}$$

Find closest multiple of $24$ to $57$. We see that $2 \times 24 = 48$ is the nearest. Now subtract $48$ from $57$ to get reminder $9$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{24)}02\phantom{4}\\24\overline{)57582}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)9}9\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $57582$

$$\begin{array}{l}\phantom{24)}02\phantom{5}\\24\overline{)57582}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)9}95\\\end{array}$$

Find closest multiple of $24$ to $95$. We see that $3 \times 24 = 72$ is the nearest. Now subtract $72$ from $95$ to get reminder $23$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{24)}023\phantom{6}\\24\overline{)57582}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)9}95\\\phantom{24)}\underline{\phantom{9}72\phantom{99}}\\\phantom{24)9}23\\\end{array}$$

Use the $4^{th}$ digit $8$ from dividend $57582$

$$\begin{array}{l}\phantom{24)}023\phantom{7}\\24\overline{)57582}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)9}95\\\phantom{24)}\underline{\phantom{9}72\phantom{99}}\\\phantom{24)9}238\\\end{array}$$

Find closest multiple of $24$ to $238$. We see that $9 \times 24 = 216$ is the nearest. Now subtract $216$ from $238$ to get reminder $22$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{24)}0239\phantom{8}\\24\overline{)57582}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)9}95\\\phantom{24)}\underline{\phantom{9}72\phantom{99}}\\\phantom{24)9}238\\\phantom{24)}\underline{\phantom{9}216\phantom{9}}\\\phantom{24)99}22\\\end{array}$$

Use the $5^{th}$ digit $2$ from dividend $57582$

$$\begin{array}{l}\phantom{24)}0239\phantom{9}\\24\overline{)57582}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)9}95\\\phantom{24)}\underline{\phantom{9}72\phantom{99}}\\\phantom{24)9}238\\\phantom{24)}\underline{\phantom{9}216\phantom{9}}\\\phantom{24)99}222\\\end{array}$$

Find closest multiple of $24$ to $222$. We see that $9 \times 24 = 216$ is the nearest. Now subtract $216$ from $222$ to get reminder $6$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{24)}02399\phantom{10}\\24\overline{)57582}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)9}95\\\phantom{24)}\underline{\phantom{9}72\phantom{99}}\\\phantom{24)9}238\\\phantom{24)}\underline{\phantom{9}216\phantom{9}}\\\phantom{24)99}222\\\phantom{24)}\underline{\phantom{99}216\phantom{}}\\\phantom{24)9999}6\\\end{array}$$

Since $6$ is less than $24$, stop the division. The reminder is $6$. The topmost line $02399$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $2399$.

$$\text{Quotient: }2399$$ $$\text{Reminder: }6$$

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