Evaluate
\frac{175}{67}\approx 2.611940299
Factor
\frac{5 ^ {2} \cdot 7}{67} = 2\frac{41}{67} = 2.611940298507463
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\begin{array}{l}\phantom{268)}\phantom{1}\\268\overline{)700}\\\end{array}
Use the 1^{st} digit 7 from dividend 700
\begin{array}{l}\phantom{268)}0\phantom{2}\\268\overline{)700}\\\end{array}
Since 7 is less than 268, use the next digit 0 from dividend 700 and add 0 to the quotient
\begin{array}{l}\phantom{268)}0\phantom{3}\\268\overline{)700}\\\end{array}
Use the 2^{nd} digit 0 from dividend 700
\begin{array}{l}\phantom{268)}00\phantom{4}\\268\overline{)700}\\\end{array}
Since 70 is less than 268, use the next digit 0 from dividend 700 and add 0 to the quotient
\begin{array}{l}\phantom{268)}00\phantom{5}\\268\overline{)700}\\\end{array}
Use the 3^{rd} digit 0 from dividend 700
\begin{array}{l}\phantom{268)}002\phantom{6}\\268\overline{)700}\\\phantom{268)}\underline{\phantom{}536\phantom{}}\\\phantom{268)}164\\\end{array}
Find closest multiple of 268 to 700. We see that 2 \times 268 = 536 is the nearest. Now subtract 536 from 700 to get reminder 164. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }164
Since 164 is less than 268, stop the division. The reminder is 164. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.
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}