How to solve (53248)/(97)

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 (53248)/(97) | Equatix

Question

$$\frac{ 53248 }{ 97 }$$

Evaluate

$\frac{53248}{97}\approx 548.948453608$

Steps For Long Division Method

Use the $1^{st}$ digit $5$ from dividend $53248$

$$\begin{array}{l}\phantom{97)}\phantom{1}\\97\overline{)53248}\\\end{array}$$

Since $5$ is less than $97$, use the next digit $3$ from dividend $53248$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{97)}0\phantom{2}\\97\overline{)53248}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $53248$

$$\begin{array}{l}\phantom{97)}0\phantom{3}\\97\overline{)53248}\\\end{array}$$

Since $53$ is less than $97$, use the next digit $2$ from dividend $53248$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{97)}00\phantom{4}\\97\overline{)53248}\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $53248$

$$\begin{array}{l}\phantom{97)}00\phantom{5}\\97\overline{)53248}\\\end{array}$$

Find closest multiple of $97$ to $532$. We see that $5 \times 97 = 485$ is the nearest. Now subtract $485$ from $532$ to get reminder $47$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{97)}005\phantom{6}\\97\overline{)53248}\\\phantom{97)}\underline{\phantom{}485\phantom{99}}\\\phantom{97)9}47\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $53248$

$$\begin{array}{l}\phantom{97)}005\phantom{7}\\97\overline{)53248}\\\phantom{97)}\underline{\phantom{}485\phantom{99}}\\\phantom{97)9}474\\\end{array}$$

Find closest multiple of $97$ to $474$. We see that $4 \times 97 = 388$ is the nearest. Now subtract $388$ from $474$ to get reminder $86$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{97)}0054\phantom{8}\\97\overline{)53248}\\\phantom{97)}\underline{\phantom{}485\phantom{99}}\\\phantom{97)9}474\\\phantom{97)}\underline{\phantom{9}388\phantom{9}}\\\phantom{97)99}86\\\end{array}$$

Use the $5^{th}$ digit $8$ from dividend $53248$

$$\begin{array}{l}\phantom{97)}0054\phantom{9}\\97\overline{)53248}\\\phantom{97)}\underline{\phantom{}485\phantom{99}}\\\phantom{97)9}474\\\phantom{97)}\underline{\phantom{9}388\phantom{9}}\\\phantom{97)99}868\\\end{array}$$

Find closest multiple of $97$ to $868$. We see that $8 \times 97 = 776$ is the nearest. Now subtract $776$ from $868$ to get reminder $92$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{97)}00548\phantom{10}\\97\overline{)53248}\\\phantom{97)}\underline{\phantom{}485\phantom{99}}\\\phantom{97)9}474\\\phantom{97)}\underline{\phantom{9}388\phantom{9}}\\\phantom{97)99}868\\\phantom{97)}\underline{\phantom{99}776\phantom{}}\\\phantom{97)999}92\\\end{array}$$

Since $92$ is less than $97$, stop the division. The reminder is $92$. The topmost line $00548$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $548$.

$$\text{Quotient: }548$$ $$\text{Reminder: }92$$

Show Solution

Factor

$\frac{2 ^ {12} \cdot 13}{97} = 548\frac{92}{97} = 548.9484536082474$

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Steps For Long Division Method

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