Evaluate
\frac{9}{7}\approx 1.285714286
Factor
\frac{3 ^ {2}}{7} = 1\frac{2}{7} = 1.2857142857142858
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\begin{array}{l}\phantom{1134)}\phantom{1}\\1134\overline{)1458}\\\end{array}
Use the 1^{st} digit 1 from dividend 1458
\begin{array}{l}\phantom{1134)}0\phantom{2}\\1134\overline{)1458}\\\end{array}
Since 1 is less than 1134, use the next digit 4 from dividend 1458 and add 0 to the quotient
\begin{array}{l}\phantom{1134)}0\phantom{3}\\1134\overline{)1458}\\\end{array}
Use the 2^{nd} digit 4 from dividend 1458
\begin{array}{l}\phantom{1134)}00\phantom{4}\\1134\overline{)1458}\\\end{array}
Since 14 is less than 1134, use the next digit 5 from dividend 1458 and add 0 to the quotient
\begin{array}{l}\phantom{1134)}00\phantom{5}\\1134\overline{)1458}\\\end{array}
Use the 3^{rd} digit 5 from dividend 1458
\begin{array}{l}\phantom{1134)}000\phantom{6}\\1134\overline{)1458}\\\end{array}
Since 145 is less than 1134, use the next digit 8 from dividend 1458 and add 0 to the quotient
\begin{array}{l}\phantom{1134)}000\phantom{7}\\1134\overline{)1458}\\\end{array}
Use the 4^{th} digit 8 from dividend 1458
\begin{array}{l}\phantom{1134)}0001\phantom{8}\\1134\overline{)1458}\\\phantom{1134)}\underline{\phantom{}1134\phantom{}}\\\phantom{1134)9}324\\\end{array}
Find closest multiple of 1134 to 1458. We see that 1 \times 1134 = 1134 is the nearest. Now subtract 1134 from 1458 to get reminder 324. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }324
Since 324 is less than 1134, stop the division. The reminder is 324. 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}