Evaluate
\frac{173}{170}\approx 1.017647059
Factor
\frac{173}{2 \cdot 5 \cdot 17} = 1\frac{3}{170} = 1.0176470588235293
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\begin{array}{l}\phantom{340)}\phantom{1}\\340\overline{)346}\\\end{array}
Use the 1^{st} digit 3 from dividend 346
\begin{array}{l}\phantom{340)}0\phantom{2}\\340\overline{)346}\\\end{array}
Since 3 is less than 340, use the next digit 4 from dividend 346 and add 0 to the quotient
\begin{array}{l}\phantom{340)}0\phantom{3}\\340\overline{)346}\\\end{array}
Use the 2^{nd} digit 4 from dividend 346
\begin{array}{l}\phantom{340)}00\phantom{4}\\340\overline{)346}\\\end{array}
Since 34 is less than 340, use the next digit 6 from dividend 346 and add 0 to the quotient
\begin{array}{l}\phantom{340)}00\phantom{5}\\340\overline{)346}\\\end{array}
Use the 3^{rd} digit 6 from dividend 346
\begin{array}{l}\phantom{340)}001\phantom{6}\\340\overline{)346}\\\phantom{340)}\underline{\phantom{}340\phantom{}}\\\phantom{340)99}6\\\end{array}
Find closest multiple of 340 to 346. We see that 1 \times 340 = 340 is the nearest. Now subtract 340 from 346 to get reminder 6. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }6
Since 6 is less than 340, stop the division. The reminder is 6. 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}