Evaluate
\frac{336}{215}\approx 1.562790698
Factor
\frac{2 ^ {4} \cdot 3 \cdot 7}{5 \cdot 43} = 1\frac{121}{215} = 1.5627906976744186
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\begin{array}{l}\phantom{4300)}\phantom{1}\\4300\overline{)6720}\\\end{array}
Use the 1^{st} digit 6 from dividend 6720
\begin{array}{l}\phantom{4300)}0\phantom{2}\\4300\overline{)6720}\\\end{array}
Since 6 is less than 4300, use the next digit 7 from dividend 6720 and add 0 to the quotient
\begin{array}{l}\phantom{4300)}0\phantom{3}\\4300\overline{)6720}\\\end{array}
Use the 2^{nd} digit 7 from dividend 6720
\begin{array}{l}\phantom{4300)}00\phantom{4}\\4300\overline{)6720}\\\end{array}
Since 67 is less than 4300, use the next digit 2 from dividend 6720 and add 0 to the quotient
\begin{array}{l}\phantom{4300)}00\phantom{5}\\4300\overline{)6720}\\\end{array}
Use the 3^{rd} digit 2 from dividend 6720
\begin{array}{l}\phantom{4300)}000\phantom{6}\\4300\overline{)6720}\\\end{array}
Since 672 is less than 4300, use the next digit 0 from dividend 6720 and add 0 to the quotient
\begin{array}{l}\phantom{4300)}000\phantom{7}\\4300\overline{)6720}\\\end{array}
Use the 4^{th} digit 0 from dividend 6720
\begin{array}{l}\phantom{4300)}0001\phantom{8}\\4300\overline{)6720}\\\phantom{4300)}\underline{\phantom{}4300\phantom{}}\\\phantom{4300)}2420\\\end{array}
Find closest multiple of 4300 to 6720. We see that 1 \times 4300 = 4300 is the nearest. Now subtract 4300 from 6720 to get reminder 2420. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }2420
Since 2420 is less than 4300, stop the division. The reminder is 2420. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}