Evaluate
\frac{70}{57}\approx 1.228070175
Factor
\frac{2 \cdot 5 \cdot 7}{3 \cdot 19} = 1\frac{13}{57} = 1.2280701754385965
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\begin{array}{l}\phantom{114)}\phantom{1}\\114\overline{)140}\\\end{array}
Use the 1^{st} digit 1 from dividend 140
\begin{array}{l}\phantom{114)}0\phantom{2}\\114\overline{)140}\\\end{array}
Since 1 is less than 114, use the next digit 4 from dividend 140 and add 0 to the quotient
\begin{array}{l}\phantom{114)}0\phantom{3}\\114\overline{)140}\\\end{array}
Use the 2^{nd} digit 4 from dividend 140
\begin{array}{l}\phantom{114)}00\phantom{4}\\114\overline{)140}\\\end{array}
Since 14 is less than 114, use the next digit 0 from dividend 140 and add 0 to the quotient
\begin{array}{l}\phantom{114)}00\phantom{5}\\114\overline{)140}\\\end{array}
Use the 3^{rd} digit 0 from dividend 140
\begin{array}{l}\phantom{114)}001\phantom{6}\\114\overline{)140}\\\phantom{114)}\underline{\phantom{}114\phantom{}}\\\phantom{114)9}26\\\end{array}
Find closest multiple of 114 to 140. We see that 1 \times 114 = 114 is the nearest. Now subtract 114 from 140 to get reminder 26. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }26
Since 26 is less than 114, stop the division. The reminder is 26. The topmost line 001 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}