Solve n भुजाओं वाले एक सम बहुभुज प्रत्येक आतिरक कोन का बराबर प्रत्येक | Equatix - Math Solver

Fractions & Decimals

Ratios & Proportions

Basic Number Theory

Integers & Absolute Values

Factors & Multiples

Prime Factorization

Basic Equations & Inequalities

Coordinate Plane & Graphing

Linear Equations & Inequalities

Quadratic Equations

Polynomials & Factoring

Functions & Graphs

Systems of Equations

Trigonometric Functions

Trigonometric Identities & Equations

Right Triangle Trigonometry

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Sequences & Series

Descriptive Statistics

Normal Distribution

Hypothesis Testing

Regression Analysis

Linear Programming

Sets & Counting

Eigenvalues & Eigenvectors

Linear Transformations

Atomic Structure

Thermochemistry

Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac { 2861311 } { 8120 }$$

Evaluate

$\frac{2861311}{8120}\approx 352.37820197$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $2861311$

$$\begin{array}{l}\phantom{8120)}\phantom{1}\\8120\overline{)2861311}\\\end{array}$$

Since $2$ is less than $8120$, use the next digit $8$ from dividend $2861311$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{8120)}0\phantom{2}\\8120\overline{)2861311}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $2861311$

$$\begin{array}{l}\phantom{8120)}0\phantom{3}\\8120\overline{)2861311}\\\end{array}$$

Since $28$ is less than $8120$, use the next digit $6$ from dividend $2861311$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{8120)}00\phantom{4}\\8120\overline{)2861311}\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $2861311$

$$\begin{array}{l}\phantom{8120)}00\phantom{5}\\8120\overline{)2861311}\\\end{array}$$

Since $286$ is less than $8120$, use the next digit $1$ from dividend $2861311$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{8120)}000\phantom{6}\\8120\overline{)2861311}\\\end{array}$$

Use the $4^{th}$ digit $1$ from dividend $2861311$

$$\begin{array}{l}\phantom{8120)}000\phantom{7}\\8120\overline{)2861311}\\\end{array}$$

Since $2861$ is less than $8120$, use the next digit $3$ from dividend $2861311$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{8120)}0000\phantom{8}\\8120\overline{)2861311}\\\end{array}$$

Use the $5^{th}$ digit $3$ from dividend $2861311$

$$\begin{array}{l}\phantom{8120)}0000\phantom{9}\\8120\overline{)2861311}\\\end{array}$$

Find closest multiple of $8120$ to $28613$. We see that $3 \times 8120 = 24360$ is the nearest. Now subtract $24360$ from $28613$ to get reminder $4253$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{8120)}00003\phantom{10}\\8120\overline{)2861311}\\\phantom{8120)}\underline{\phantom{}24360\phantom{99}}\\\phantom{8120)9}4253\\\end{array}$$

Use the $6^{th}$ digit $1$ from dividend $2861311$

$$\begin{array}{l}\phantom{8120)}00003\phantom{11}\\8120\overline{)2861311}\\\phantom{8120)}\underline{\phantom{}24360\phantom{99}}\\\phantom{8120)9}42531\\\end{array}$$

Find closest multiple of $8120$ to $42531$. We see that $5 \times 8120 = 40600$ is the nearest. Now subtract $40600$ from $42531$ to get reminder $1931$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{8120)}000035\phantom{12}\\8120\overline{)2861311}\\\phantom{8120)}\underline{\phantom{}24360\phantom{99}}\\\phantom{8120)9}42531\\\phantom{8120)}\underline{\phantom{9}40600\phantom{9}}\\\phantom{8120)99}1931\\\end{array}$$

Use the $7^{th}$ digit $1$ from dividend $2861311$

$$\begin{array}{l}\phantom{8120)}000035\phantom{13}\\8120\overline{)2861311}\\\phantom{8120)}\underline{\phantom{}24360\phantom{99}}\\\phantom{8120)9}42531\\\phantom{8120)}\underline{\phantom{9}40600\phantom{9}}\\\phantom{8120)99}19311\\\end{array}$$

Find closest multiple of $8120$ to $19311$. We see that $2 \times 8120 = 16240$ is the nearest. Now subtract $16240$ from $19311$ to get reminder $3071$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{8120)}0000352\phantom{14}\\8120\overline{)2861311}\\\phantom{8120)}\underline{\phantom{}24360\phantom{99}}\\\phantom{8120)9}42531\\\phantom{8120)}\underline{\phantom{9}40600\phantom{9}}\\\phantom{8120)99}19311\\\phantom{8120)}\underline{\phantom{99}16240\phantom{}}\\\phantom{8120)999}3071\\\end{array}$$

Since $3071$ is less than $8120$, stop the division. The reminder is $3071$. The topmost line $0000352$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $352$.

$$\text{Quotient: }352$$ $$\text{Reminder: }3071$$

Factor

$\frac{53 \cdot 53987}{2 ^ {3} \cdot 5 \cdot 7 \cdot 29} = 352\frac{3071}{8120} = 352.37820197044334$