How to solve (3421)/(27)

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 (3421)/(27) | Equatix

Question

$$\frac{ 3421 }{ 27 }$$

Evaluate

$\frac{3421}{27}\approx 126.703703704$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $3421$

$$\begin{array}{l}\phantom{27)}\phantom{1}\\27\overline{)3421}\\\end{array}$$

Since $3$ is less than $27$, use the next digit $4$ from dividend $3421$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{27)}0\phantom{2}\\27\overline{)3421}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $3421$

$$\begin{array}{l}\phantom{27)}0\phantom{3}\\27\overline{)3421}\\\end{array}$$

Find closest multiple of $27$ to $34$. We see that $1 \times 27 = 27$ is the nearest. Now subtract $27$ from $34$ to get reminder $7$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{27)}01\phantom{4}\\27\overline{)3421}\\\phantom{27)}\underline{\phantom{}27\phantom{99}}\\\phantom{27)9}7\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $3421$

$$\begin{array}{l}\phantom{27)}01\phantom{5}\\27\overline{)3421}\\\phantom{27)}\underline{\phantom{}27\phantom{99}}\\\phantom{27)9}72\\\end{array}$$

Find closest multiple of $27$ to $72$. We see that $2 \times 27 = 54$ is the nearest. Now subtract $54$ from $72$ to get reminder $18$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{27)}012\phantom{6}\\27\overline{)3421}\\\phantom{27)}\underline{\phantom{}27\phantom{99}}\\\phantom{27)9}72\\\phantom{27)}\underline{\phantom{9}54\phantom{9}}\\\phantom{27)9}18\\\end{array}$$

Use the $4^{th}$ digit $1$ from dividend $3421$

$$\begin{array}{l}\phantom{27)}012\phantom{7}\\27\overline{)3421}\\\phantom{27)}\underline{\phantom{}27\phantom{99}}\\\phantom{27)9}72\\\phantom{27)}\underline{\phantom{9}54\phantom{9}}\\\phantom{27)9}181\\\end{array}$$

Find closest multiple of $27$ to $181$. We see that $6 \times 27 = 162$ is the nearest. Now subtract $162$ from $181$ to get reminder $19$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{27)}0126\phantom{8}\\27\overline{)3421}\\\phantom{27)}\underline{\phantom{}27\phantom{99}}\\\phantom{27)9}72\\\phantom{27)}\underline{\phantom{9}54\phantom{9}}\\\phantom{27)9}181\\\phantom{27)}\underline{\phantom{9}162\phantom{}}\\\phantom{27)99}19\\\end{array}$$

Since $19$ is less than $27$, stop the division. The reminder is $19$. The topmost line $0126$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $126$.

$$\text{Quotient: }126$$ $$\text{Reminder: }19$$

Show Solution

Factor

$\frac{11 \cdot 311}{3 ^ {3}} = 126\frac{19}{27} = 126.70370370370371$

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Evaluate

Steps For Long Division Method

Factor