Evaluate
\frac{10}{7}\approx 1.428571429
Factor
\frac{2 \cdot 5}{7} = 1\frac{3}{7} = 1.4285714285714286
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\begin{array}{l}\phantom{49)}\phantom{1}\\49\overline{)70}\\\end{array}
Use the 1^{st} digit 7 from dividend 70
\begin{array}{l}\phantom{49)}0\phantom{2}\\49\overline{)70}\\\end{array}
Since 7 is less than 49, use the next digit 0 from dividend 70 and add 0 to the quotient
\begin{array}{l}\phantom{49)}0\phantom{3}\\49\overline{)70}\\\end{array}
Use the 2^{nd} digit 0 from dividend 70
\begin{array}{l}\phantom{49)}01\phantom{4}\\49\overline{)70}\\\phantom{49)}\underline{\phantom{}49\phantom{}}\\\phantom{49)}21\\\end{array}
Find closest multiple of 49 to 70. We see that 1 \times 49 = 49 is the nearest. Now subtract 49 from 70 to get reminder 21. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }21
Since 21 is less than 49, stop the division. The reminder is 21. The topmost line 01 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}