How to solve 87025/26

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 87025/26 | Equatix

Question

$$87025/26$$

Evaluate

$\frac{87025}{26}\approx 3347.115384615$

Steps For Long Division Method

Use the $1^{st}$ digit $8$ from dividend $87025$

$$\begin{array}{l}\phantom{26)}\phantom{1}\\26\overline{)87025}\\\end{array}$$

Since $8$ is less than $26$, use the next digit $7$ from dividend $87025$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{26)}0\phantom{2}\\26\overline{)87025}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $87025$

$$\begin{array}{l}\phantom{26)}0\phantom{3}\\26\overline{)87025}\\\end{array}$$

Find closest multiple of $26$ to $87$. We see that $3 \times 26 = 78$ is the nearest. Now subtract $78$ from $87$ to get reminder $9$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{26)}03\phantom{4}\\26\overline{)87025}\\\phantom{26)}\underline{\phantom{}78\phantom{999}}\\\phantom{26)9}9\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $87025$

$$\begin{array}{l}\phantom{26)}03\phantom{5}\\26\overline{)87025}\\\phantom{26)}\underline{\phantom{}78\phantom{999}}\\\phantom{26)9}90\\\end{array}$$

Find closest multiple of $26$ to $90$. We see that $3 \times 26 = 78$ is the nearest. Now subtract $78$ from $90$ to get reminder $12$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{26)}033\phantom{6}\\26\overline{)87025}\\\phantom{26)}\underline{\phantom{}78\phantom{999}}\\\phantom{26)9}90\\\phantom{26)}\underline{\phantom{9}78\phantom{99}}\\\phantom{26)9}12\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $87025$

$$\begin{array}{l}\phantom{26)}033\phantom{7}\\26\overline{)87025}\\\phantom{26)}\underline{\phantom{}78\phantom{999}}\\\phantom{26)9}90\\\phantom{26)}\underline{\phantom{9}78\phantom{99}}\\\phantom{26)9}122\\\end{array}$$

Find closest multiple of $26$ to $122$. We see that $4 \times 26 = 104$ is the nearest. Now subtract $104$ from $122$ to get reminder $18$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{26)}0334\phantom{8}\\26\overline{)87025}\\\phantom{26)}\underline{\phantom{}78\phantom{999}}\\\phantom{26)9}90\\\phantom{26)}\underline{\phantom{9}78\phantom{99}}\\\phantom{26)9}122\\\phantom{26)}\underline{\phantom{9}104\phantom{9}}\\\phantom{26)99}18\\\end{array}$$

Use the $5^{th}$ digit $5$ from dividend $87025$

$$\begin{array}{l}\phantom{26)}0334\phantom{9}\\26\overline{)87025}\\\phantom{26)}\underline{\phantom{}78\phantom{999}}\\\phantom{26)9}90\\\phantom{26)}\underline{\phantom{9}78\phantom{99}}\\\phantom{26)9}122\\\phantom{26)}\underline{\phantom{9}104\phantom{9}}\\\phantom{26)99}185\\\end{array}$$

Find closest multiple of $26$ to $185$. We see that $7 \times 26 = 182$ is the nearest. Now subtract $182$ from $185$ to get reminder $3$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{26)}03347\phantom{10}\\26\overline{)87025}\\\phantom{26)}\underline{\phantom{}78\phantom{999}}\\\phantom{26)9}90\\\phantom{26)}\underline{\phantom{9}78\phantom{99}}\\\phantom{26)9}122\\\phantom{26)}\underline{\phantom{9}104\phantom{9}}\\\phantom{26)99}185\\\phantom{26)}\underline{\phantom{99}182\phantom{}}\\\phantom{26)9999}3\\\end{array}$$

Since $3$ is less than $26$, stop the division. The reminder is $3$. The topmost line $03347$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $3347$.

$$\text{Quotient: }3347$$ $$\text{Reminder: }3$$

Show Solution

Factor

$\frac{5 ^ {2} \cdot 59 ^ {2}}{2 \cdot 13} = 3347\frac{3}{26} = 3347.1153846153848$

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Steps For Long Division Method

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