Evaluate
\frac{37}{21}\approx 1.761904762
Factor
\frac{37}{3 \cdot 7} = 1\frac{16}{21} = 1.7619047619047619
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\begin{array}{l}\phantom{315)}\phantom{1}\\315\overline{)555}\\\end{array}
Use the 1^{st} digit 5 from dividend 555
\begin{array}{l}\phantom{315)}0\phantom{2}\\315\overline{)555}\\\end{array}
Since 5 is less than 315, use the next digit 5 from dividend 555 and add 0 to the quotient
\begin{array}{l}\phantom{315)}0\phantom{3}\\315\overline{)555}\\\end{array}
Use the 2^{nd} digit 5 from dividend 555
\begin{array}{l}\phantom{315)}00\phantom{4}\\315\overline{)555}\\\end{array}
Since 55 is less than 315, use the next digit 5 from dividend 555 and add 0 to the quotient
\begin{array}{l}\phantom{315)}00\phantom{5}\\315\overline{)555}\\\end{array}
Use the 3^{rd} digit 5 from dividend 555
\begin{array}{l}\phantom{315)}001\phantom{6}\\315\overline{)555}\\\phantom{315)}\underline{\phantom{}315\phantom{}}\\\phantom{315)}240\\\end{array}
Find closest multiple of 315 to 555. We see that 1 \times 315 = 315 is the nearest. Now subtract 315 from 555 to get reminder 240. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }240
Since 240 is less than 315, stop the division. The reminder is 240. 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}