How to solve (2890)/(81)

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 (2890)/(81) | Equatix

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Question

$$\frac{ 2890 }{ 81 }$$

Evaluate

$\frac{2890}{81}\approx 35.679012346$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $2890$

$$\begin{array}{l}\phantom{81)}\phantom{1}\\81\overline{)2890}\\\end{array}$$

Since $2$ is less than $81$, use the next digit $8$ from dividend $2890$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{81)}0\phantom{2}\\81\overline{)2890}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $2890$

$$\begin{array}{l}\phantom{81)}0\phantom{3}\\81\overline{)2890}\\\end{array}$$

Since $28$ is less than $81$, use the next digit $9$ from dividend $2890$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{81)}00\phantom{4}\\81\overline{)2890}\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $2890$

$$\begin{array}{l}\phantom{81)}00\phantom{5}\\81\overline{)2890}\\\end{array}$$

Find closest multiple of $81$ to $289$. We see that $3 \times 81 = 243$ is the nearest. Now subtract $243$ from $289$ to get reminder $46$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{81)}003\phantom{6}\\81\overline{)2890}\\\phantom{81)}\underline{\phantom{}243\phantom{9}}\\\phantom{81)9}46\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $2890$

$$\begin{array}{l}\phantom{81)}003\phantom{7}\\81\overline{)2890}\\\phantom{81)}\underline{\phantom{}243\phantom{9}}\\\phantom{81)9}460\\\end{array}$$

Find closest multiple of $81$ to $460$. We see that $5 \times 81 = 405$ is the nearest. Now subtract $405$ from $460$ to get reminder $55$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{81)}0035\phantom{8}\\81\overline{)2890}\\\phantom{81)}\underline{\phantom{}243\phantom{9}}\\\phantom{81)9}460\\\phantom{81)}\underline{\phantom{9}405\phantom{}}\\\phantom{81)99}55\\\end{array}$$

Since $55$ is less than $81$, stop the division. The reminder is $55$. The topmost line $0035$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $35$.

$$\text{Quotient: }35$$ $$\text{Reminder: }55$$

Show Solution

Factor

$\frac{2 \cdot 5 \cdot 17 ^ {2}}{3 ^ {4}} = 35\frac{55}{81} = 35.67901234567901$