How to solve (547802)/(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 (547802)/(97) | Equatix

Question

$$\frac{ 547802 }{ 97 }$$

Evaluate

$\frac{547802}{97}\approx 5647.443298969$

Steps For Long Division Method

Use the $1^{st}$ digit $5$ from dividend $547802$

$$\begin{array}{l}\phantom{97)}\phantom{1}\\97\overline{)547802}\\\end{array}$$

Since $5$ is less than $97$, use the next digit $4$ from dividend $547802$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{97)}0\phantom{2}\\97\overline{)547802}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $547802$

$$\begin{array}{l}\phantom{97)}0\phantom{3}\\97\overline{)547802}\\\end{array}$$

Since $54$ is less than $97$, use the next digit $7$ from dividend $547802$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{97)}00\phantom{4}\\97\overline{)547802}\\\end{array}$$

Use the $3^{rd}$ digit $7$ from dividend $547802$

$$\begin{array}{l}\phantom{97)}00\phantom{5}\\97\overline{)547802}\\\end{array}$$

Find closest multiple of $97$ to $547$. We see that $5 \times 97 = 485$ is the nearest. Now subtract $485$ from $547$ to get reminder $62$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{97)}005\phantom{6}\\97\overline{)547802}\\\phantom{97)}\underline{\phantom{}485\phantom{999}}\\\phantom{97)9}62\\\end{array}$$

Use the $4^{th}$ digit $8$ from dividend $547802$

$$\begin{array}{l}\phantom{97)}005\phantom{7}\\97\overline{)547802}\\\phantom{97)}\underline{\phantom{}485\phantom{999}}\\\phantom{97)9}628\\\end{array}$$

Find closest multiple of $97$ to $628$. We see that $6 \times 97 = 582$ is the nearest. Now subtract $582$ from $628$ to get reminder $46$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{97)}0056\phantom{8}\\97\overline{)547802}\\\phantom{97)}\underline{\phantom{}485\phantom{999}}\\\phantom{97)9}628\\\phantom{97)}\underline{\phantom{9}582\phantom{99}}\\\phantom{97)99}46\\\end{array}$$

Use the $5^{th}$ digit $0$ from dividend $547802$

$$\begin{array}{l}\phantom{97)}0056\phantom{9}\\97\overline{)547802}\\\phantom{97)}\underline{\phantom{}485\phantom{999}}\\\phantom{97)9}628\\\phantom{97)}\underline{\phantom{9}582\phantom{99}}\\\phantom{97)99}460\\\end{array}$$

Find closest multiple of $97$ to $460$. We see that $4 \times 97 = 388$ is the nearest. Now subtract $388$ from $460$ to get reminder $72$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{97)}00564\phantom{10}\\97\overline{)547802}\\\phantom{97)}\underline{\phantom{}485\phantom{999}}\\\phantom{97)9}628\\\phantom{97)}\underline{\phantom{9}582\phantom{99}}\\\phantom{97)99}460\\\phantom{97)}\underline{\phantom{99}388\phantom{9}}\\\phantom{97)999}72\\\end{array}$$

Use the $6^{th}$ digit $2$ from dividend $547802$

$$\begin{array}{l}\phantom{97)}00564\phantom{11}\\97\overline{)547802}\\\phantom{97)}\underline{\phantom{}485\phantom{999}}\\\phantom{97)9}628\\\phantom{97)}\underline{\phantom{9}582\phantom{99}}\\\phantom{97)99}460\\\phantom{97)}\underline{\phantom{99}388\phantom{9}}\\\phantom{97)999}722\\\end{array}$$

Find closest multiple of $97$ to $722$. We see that $7 \times 97 = 679$ is the nearest. Now subtract $679$ from $722$ to get reminder $43$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{97)}005647\phantom{12}\\97\overline{)547802}\\\phantom{97)}\underline{\phantom{}485\phantom{999}}\\\phantom{97)9}628\\\phantom{97)}\underline{\phantom{9}582\phantom{99}}\\\phantom{97)99}460\\\phantom{97)}\underline{\phantom{99}388\phantom{9}}\\\phantom{97)999}722\\\phantom{97)}\underline{\phantom{999}679\phantom{}}\\\phantom{97)9999}43\\\end{array}$$

Since $43$ is less than $97$, stop the division. The reminder is $43$. The topmost line $005647$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $5647$.

$$\text{Quotient: }5647$$ $$\text{Reminder: }43$$

Show Solution

Factor

$\frac{2 \cdot 273901}{97} = 5647\frac{43}{97} = 5647.443298969072$

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Steps For Long Division Method

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