Evaluate
\frac{100}{37}\approx 2.702702703
Factor
\frac{2 ^ {2} \cdot 5 ^ {2}}{37} = 2\frac{26}{37} = 2.7027027027027026
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\begin{array}{l}\phantom{37)}\phantom{1}\\37\overline{)100}\\\end{array}
Use the 1^{st} digit 1 from dividend 100
\begin{array}{l}\phantom{37)}0\phantom{2}\\37\overline{)100}\\\end{array}
Since 1 is less than 37, use the next digit 0 from dividend 100 and add 0 to the quotient
\begin{array}{l}\phantom{37)}0\phantom{3}\\37\overline{)100}\\\end{array}
Use the 2^{nd} digit 0 from dividend 100
\begin{array}{l}\phantom{37)}00\phantom{4}\\37\overline{)100}\\\end{array}
Since 10 is less than 37, use the next digit 0 from dividend 100 and add 0 to the quotient
\begin{array}{l}\phantom{37)}00\phantom{5}\\37\overline{)100}\\\end{array}
Use the 3^{rd} digit 0 from dividend 100
\begin{array}{l}\phantom{37)}002\phantom{6}\\37\overline{)100}\\\phantom{37)}\underline{\phantom{9}74\phantom{}}\\\phantom{37)9}26\\\end{array}
Find closest multiple of 37 to 100. We see that 2 \times 37 = 74 is the nearest. Now subtract 74 from 100 to get reminder 26. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }26
Since 26 is less than 37, stop the division. The reminder is 26. 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}