Evaluate
\frac{17}{10}=1.7
Factor
\frac{17}{2 \cdot 5} = 1\frac{7}{10} = 1.7
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\begin{array}{l}\phantom{200)}\phantom{1}\\200\overline{)340}\\\end{array}
Use the 1^{st} digit 3 from dividend 340
\begin{array}{l}\phantom{200)}0\phantom{2}\\200\overline{)340}\\\end{array}
Since 3 is less than 200, use the next digit 4 from dividend 340 and add 0 to the quotient
\begin{array}{l}\phantom{200)}0\phantom{3}\\200\overline{)340}\\\end{array}
Use the 2^{nd} digit 4 from dividend 340
\begin{array}{l}\phantom{200)}00\phantom{4}\\200\overline{)340}\\\end{array}
Since 34 is less than 200, use the next digit 0 from dividend 340 and add 0 to the quotient
\begin{array}{l}\phantom{200)}00\phantom{5}\\200\overline{)340}\\\end{array}
Use the 3^{rd} digit 0 from dividend 340
\begin{array}{l}\phantom{200)}001\phantom{6}\\200\overline{)340}\\\phantom{200)}\underline{\phantom{}200\phantom{}}\\\phantom{200)}140\\\end{array}
Find closest multiple of 200 to 340. We see that 1 \times 200 = 200 is the nearest. Now subtract 200 from 340 to get reminder 140. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }140
Since 140 is less than 200, stop the division. The reminder is 140. 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}